Given that a mile is 1.6093km, how many kilometers do you travel if you run for a total of 43.5 minutes, 21.2 minutes of which was at the rate of 6.5 mph while the remaining 22.3 minutes was run at 7.8 mph?

Answers

Answer 1

The number of kilometers you travelled in 43.5 minutes is 8.4 Km

What is speed?

Speed is defined as the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With the above formula, we can determie the distance (in Km) travelled. Details below.

We'll begin by calculating the distance (in Km) travelled in 21.2 mins. This is shown below:

Time = 21.2 mins = 21.2 / 60 hourSpeed = 6.5 mph = 6.5 × 1.6093 = 10.46045 Km/hDistance =?

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 10.46045 × (21.2 / 60)

Distance = 3.7 Km

Next, we shall obtain the distance (in Km) travelled in 22.3 mins. This is shown below:

Time = 22.3mins = 22.3 / 60 hourSpeed = 7.8 mph = 7.8 × 1.6093 = 12.55254 Km/hDistance =?

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 12.55254 × (22.3 / 60)

Distance = 4.7 Km

Finally, the total distance travelled can be obtained as follow:

Distance in 21.2 mins = 3.7 KmDistance in 22.3 mins = 4.7 KmTotal distance =?

Total distance = 3.7 + 4.7

Total distance = 8.4 Km

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Related Questions

Which is the first step that geologists must do to compare rock layers at distant locations?
find the absolute age of rocks at both locations
e compare a layer at one location to layers at other locations
O identify index fossils In one or more layers at one location
collect fossils from different locations to study the organisms' lifestyles

Answers

The first step that geologists must do to compare rock layers at distant locations is identify index fossils In one or more layers at one location.

The remains of ancient organisms, such as plants and animals, that were preserved from the prehistoric era by the influence of natural conditions are known as fossils.Any plant or animal that has been preserved in the Earth's rock record and is specific to a certain geologic period or environment is an index fossil.The correlation of strata and the establishment of time scale boundaries in geology are both based on index fossils.A suitable index fossil needs to be unique or easily identifiable, plentiful, have a broad geographic distribution, and have a limited time range.Index fossils are regarded as often discovered, widely dispersed, and disseminated fossils that are scarce in the time period.

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Rob is in charge of waxing the floor at the local mall. He wants to test a new brand of floor wax called Squeaky Clean. Rob waxes 20 floor tiles with Squeaky Clean and 20 tiles with the original wax brand. After one week he counts the number of scratches on the floor

Answers

After one week he counts the number of scratches on the floor it is the independent variable.

An independent variable is one whose values are altered by the researcher to achieve the desired results.

The variable is known as the dependent variable when its values change in response to changes in the independent variable's values.

The dependent variable serves as the experiment measure while the independent variable controls the experiment.

The dependent variable is an effect of the independent variable, which is a cause.

In a linear regression, we can state that "y" stands for the dependent variable and "x" for the independent variable.

While the dependent indicates the influence of changes in the independent variable, the independent depends on nothing.

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How do you find the number of neutrons for any atom?

Answers

The number of neutrons is equal to the difference between the mass number of the atom and the atomic number.

Why is it important for scientists to publish a
description of their procedures along with the results
of their experiments?

Answers

Answer:

Anything related to science needs to be detailed and understood by a range of people. Or, what they published may not create any impact if you can't read it and understand what you just read.  

Explanation:

Here is the structure of 4-pyrone, an aromatic compound. Add curved arrows to convert the structure to a new resonance contributor where all atoms still satisfy the octet rule. Draw the new contributor in the box to the right, including all lone pairs and nonzero formal charges. Your new resonance contributor should reflect the aromaticity of the compound

Answers

The second resonance contributor demonstrates the aromaticity of the compound by maintaining the six-membered ring with 6 (4n+2) pi electrons.

The easiest way to draw another resonance structure is to move an pi-electron pair and then repeat that process. After three shifts, the resulting structure does have separated charges, with a positive charge on one of the oxygen atoms (which is not too favorable, considering the oxygen's high electronegativity), but all the non-hydrogen atoms still have a full octet and the presence of the aromatic ring does greatly stabilize the structure. It also explains why the compound (resonance hybrid) is aromatic.

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What additional information, if any, would enable you to calculate the molality of a 7. 35 molar solution of a nonelectrolyte solid dissolved in water?.

Answers

The molality of the solvent is 13.8966 m

It would be necessary to know both the solution's density and the

solute's molecular weight.

Explanation:

Molarity = [tex]\frac{mole solute}{L solution}[/tex]

Molality = [tex]\frac{Mole solute }{kg solvent}[/tex]

The solution's density can be used to convert 1 L of the solution's volume into a mass solution. then the substance's molecular weight solute (given or calculated from the formula) can be utilized to change the number of moles mass of the solute in a 1 L solution using grams. The solvent's mass is the difference between the solution's mass and as well as the solute's mass (both of which have been determined). Replace the values and compute using the molality formula.

so the total mass of the solution is 934.4 g,

which leaves 934.4 g − 178.82 g = 755.58 g of

water.

Therefore, the molality is

m = [tex]\frac{10.5 mol NH3}{0.75558 kg solvent}[/tex]  = 13.8966 m .

The molality of the nonelectrolyte solid is 13.8966 m.

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The molality of the solvent is 13.8966 m.

How to calculate molality?

Molality = Moles of solute / Kilograms of solvent.

Its unit is mol/kg.

The total mass of the solution = 934.4 g,

which leaves 934.4 g − 178.82 g = 755.58 g

m = 10.5molNH3/0.75558Kg of solvent

m = 13.8966 m .

The molality of the non-electrolyte solid is 13.8966 m.

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list of equipment needed for investigating the reaction of lemon juice and sodium hydrogencarbonate

Answers

1. Grab a couple of lemons!

2. Baking Powder.

3. Colored food.

4. Dawn Dishwashing Soap

5. Tray, plate, or bowl

6. Sticks for making crafts.

7. Juice of lemon

If you add a chunk of zinc to a beaker of acid and zinc shavings to another beaker of acid, the sample with the zinc shavings will react faster. What property causes the increase in rate?.

Answers

The property that causes the zinc shavings to react faster than the chunk of zinc is called the surface area.

The surface area is a crucial factor to consider while conducting any kind of chemical reaction because it considerably affects the reaction's rate. As surface area is reduced, response rates accelerate.

A chunk of zinc is like a body of stone kept together by strong bonding when contrasted to zinc shavings, which are zinc particles with lower surface areas.

The zinc shavings' reactive surface area is smaller than that of the enormous zinc chunk. Due to their reduced surface areas, reactants must be in close proximity to the acid solution for the reaction to take place.

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The table lists the half-life for four different isotopes of sulfur. Equal amounts of each sample are stored in sealed jars. Which jar will contain the least amount of the isotope of sulfur after 10 seconds?

Isotope Half-life
sulfur-30 1.18 seconds
sulfur-35 87.5 days
sulfur-37 5.05 minutes
sulfur-41 1.99 seconds
A.
sulfur-30
B.
sulfur-35
C.
sulfur-37
D.
sulfur-41

Answers

Jar containing sulfur-30 will have least amount of sulfur.

How does radioactivity varies with time?

Radioactivity of a substance decreases with increase in time indicating that they are inversely proportional.Among the different isotopes of sulfur mentioned ,sulfur-35 is most radioactive as it has half-life period of 87.5 days.

On the other hand, sulfur-30  is least radioactive as it has half-life period of 1.18 seconds, thus within 10 seconds the jar containing sulfur-30 will be  almost empty.

Therefore,the jar containing sulfur-30 will have least amount of sulfur after 10 seconds as it's half-life is least.

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(math involved!!) In the following reaction, how many molecules of HCl are needed to produce four molecules of H2O?

Answers

Four molecules of HCl are needed to produce four molecules of H₂O.

What is the number of molecules of of HCl needed to produce four molecules of H₂O?

The number of molecules of of HCl needed to produce four molecules of H₂O is determined from the mole ratio of the reaction as given in the equation of the reaction below:

2 HCl (aq) + Ca(OH)₂ (aq) → CaCl₂ (aq) + 2 H₂O (l)

The mole ratio of the reaction as given in the equation shows that 2 moles of HCl produces 2 moles of water.

Therefore, the mole ratio  of HCl and H₂O is 1 : 1

Four moles of H₂O will be produced by four molecules of HCl

The number of molecules of HCl in 1 mole of HCl is 6.02 * 10²³ molecules.

1 mole of every substance contains equal number of particles.

Hence, 1 mole of water will contain  6.02 * 10²³ molecules.

Based on the mole ratio of the reaction, four molecules of HCl are needed to produce four molecules of H₂O.

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What makes up
matter? Use the definition of atomic theory to answer.

Answers

Answer:

Atoms make up every form of matter, according to the atomic theory.

Explanation:

Hope this helps!

The mass ratio of sodium to fluorine in sodium fluoride is 1:2:1. A sample of sodium fluoride produced 28.8g of sodium upon decomposition. How much fluorine (in grams) was formed?.​

Answers

Answer:

57.6g

Explanation:

1u=28.8g

2u=28.8g×2

.....=57.6g

Practice writing in scientific passive voice by summarizing physical properties of the periodic table in your own words.

Your summarization should be at least three sentences long and refrain from using the first person.

Answers

The physical properties of elements in the periodic table varies as follows;

melting and boiling point of metallic elements increases across the period from left to to right  and decreases down the group. Whereas, for non-metallic elements, the melting and boiling point decreases across the period from left to to right  and increases down the groupatomic size of elements decrease across a period from left to right, but increases on going down the group.

What is the periodic Table?

The Periodic table is a table which arranges elements based on their increasing atomic number into vertical columns called groups and horizontal rows known as periods.

The physical properties of the periodic table refers to the properties in of the elements in the periodic table which vary in a regular pattern both down the groups and across the periods.

Some physical properties of the periodic table are as given below:

melting and boiling pointatomic size

Melting and boiling point: the melting and boiling point of the metallic elements in the period table increases on going from left to to right across the period and decreases on going down the group. For non-metallic elements, the melting and boiling point decreases on going from left to to right across the period and increases on going down the group

Atomic size: the atomic size of the elements decrease across a period from left to right, but increases on going down the group.

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Diethyl ether has a vapor pressure of 400. 0 torr at 18°c. When a sample of benzoic acid is dissolved in ether, the vapor pressure of the solution is 342 torr. What is the mole fraction of benzoic acid in the solution?.

Answers

The mole fraction of benzoic acid in the solution is 0.855.

What is benzoic acid?

Benzoic acid is a white solid which is a carboxylic acid based on benzene.

The vapor pressure of the benzoic acid solution and the mole fraction of the solute are directly proportional to each other i.e.

Pt = x P°s

Here t = total pressure

s = solvent

Given:

Vapor pressure of diethyl ether = 400.0 torr

Vapor pressure of the solution = 342 torr

Now substituting the values in the formula

342 =   x 400

= 342 / 400

 = 0.855

Thus, the mole fraction of benzoic acid is 0.855

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chegg write the empirical formula corresponding to each of the following molecular formulas: a) al2br6, b) c8h10, c) c4h8o2, d) p4o10, e) c6h4cl2, f) b3n3h6

Answers

To find the empirical formula from a molecular formula, you should divide the Subscripts by the Some integer in order to get the smallest whole number.

Part-A

The empirical formula of [tex]Al_{2}Br_{6}[/tex]is [tex]AlBr_{3}[/tex], we get it by dividing both subscript (i.e. 2&6) by 2.

Part-B

The empirical formula of C8H10 is

Simplest ratio of CH = 8:10 = 4:5

Hence, empirical formula =C4H5

Part-C

The empirical formula of C4H8O2 is C2H4O, we get it by diving all subscripts [tex]\frac{4}{2} : \frac{8}{2} :\frac{2}{2}=2:4:1[/tex] by 2.

Part- D

molecular formula= P4O10

simplest ratio of

[tex]\frac{P}{O}= \frac{2}{5} \\ empirical formula = p_{2}O_{5}[/tex]

Part -E

The empirical formula of C6H9CL2 is C3H2CL,we get it by diving all subscripts[tex]\frac{6}{2}:\frac{4}{2}:\frac{2}{1} =3:2:1[/tex] by 2

Part-F

The empirical formula of B3N3H6is BNH2, we get it by diving all subscripts [tex]\frac{3}{3} :\frac{3}{3} :\frac{6}{3} = 1:2:3[/tex] by 2.

what is molecular formulae? A molecular formula is a picture of a molecule that shows the different types of atoms in the molecule using chemical symbols, followed by subscripts to show how many of each type there are in total. Molecular formulae are also used as acronyms for such names of compounds (a subscript is only used if more than one atom of a certain kind is present).When two or more elements interact chemically, bonds are created, and substances called compounds are created. for example the reactions of sodium and chlorine may produce table salt while the reactions of hydrogen and oxygen can produce water. Sometimes, we use an empirical formula to define the atom kinds and simplest whole-number ratio of these compounds' atoms (or ions) to explain their structure.

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Answer the next five questions based on the diagram:

How many electrons are in the n = 1 shell?
4 , 14 , 6 , 5 , 2 , 3
How many electrons are in the n = 2 shell?
4 , 14 , 6 , 5 , 2 , 3
How many electrons are needed to complete the n = 2 shell?
4 , 14 , 6 , 5 , 2 , 3
How many electrons are being shared between the two nitrogen atoms?
4 , 14 , 6 , 5 , 2 , 3
How many bonds exist between the two nitrogen atoms?
4 , 14 , 6 , 5 , 2 , 3

Answers

There are 2 electrons in the n = 1 shell.

There are 5 electrons in the n = 2 shell.

The number of electrons which are needed to complete the n = 2 shell is 3.

The number of electrons which are being shared between the two nitrogen atoms is 3

There are 3 covalent bonds which exist between two nitrogen atom.

What is an an element?

It is chemical substance which do take part in a reaction.

So therefore, there are 2 electrons in the n = 1 shell.

There are 5 electrons in the n = 2 shell.The number of electrons which are needed to complete the n = 2 shell is 3.The number of electrons which are being shared between the two nitrogen atoms is 3There are 3 bonds which exist between two nitrogen atom.

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Which statement describes renewable resources?
O Fossil fuels are a type of renewable resource.
O Renewable resources are artificial.
Renewable resources replenish quickly.
O Large quantities of renewable resources can be produced at once.

Answers

A natural resource that will replenish to replace the portion used up by usage and consumption, commonly referred to as a flow resource, will do so through natural reproduction or other cyclical processes in a limited length of time on a human time scale.

Which statement describes renewable resources?

"Renewable resources replenish quickly."

Resources that can replace themselves over time as they are utilised or that can last indefinitely are considered renewable resources. They consist of biomass, the sun, wind, water, and geothermal energy. Renewable resources have the drawback of not always being accessible when needed.

Biomass energy (such as ethanol), hydropower, geothermal energy, wind energy, and solar energy are examples of renewable resources.

Finding the best way to use renewable resources is a task that is becoming more and more crucial as the Earth's nonrenewable resource supply is depleted. In addition to better sustaining the world's quickly expanding population, switching to renewable energy will also leave the environment greener and healthier for future generations.

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Answer:  C

Explanation: I took the quiz

Road salt is used in northern climates by the metric ton. How many moles of calcium chloride (CaCl2) does a town use daily if it uses 1.2 metric tons a day? 1 metric ton = 1000 kilograms

Answers

10.81 mole of calcium chloride (CaCl2) does a town use daily if it uses 1.2 metric tons a day mole is a standard scientific unit for the calculation of large amounts of very small entities

Here given data is 1 metric ton = 1000 kilograms then 1.2 metric tons = 1200 kilogram then we have to find moles of calcium chloride (CaCl₂) =?

Then here concept are moles, molar mass of a substance is the mass in grams of one mole of that substance

Here given molar mass of (CaCl₂) = 110.98

So, given molar mass of calcium chloride (CaCl₂) / 1200

n = 1200/110.98 = 10.81 mole

So, 10.81 mole of calcium chloride (CaCl2) does a town use daily if it uses 1.2 metric tons a day

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I do not understand what they mean by a smooth line graph

Answers

A smooth line graph is use to draw a general pattern curve rather than just connect the points.

We use to draw a smooth line graph because smooth line reflects a general pattern and we can determine the general behavior of data points to be plotted. When we just connect the dots we are unable to find the equation because of broken line. when draw a graph we have to find out the line that could fit all the points and make a smooth pattern, smooth line curve is very helpful for the calculations.

Thus, A smooth line graph is use to draw a general pattern curve rather than just connect the points.

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How much anhydrous magnesium sulfate is required to dry a diethyl ether solution after preforming extractions involving water?.

Answers

The anhydrous magnesium sulfate required to dry a di-ethyl ether solution after performing extractions involving water is enough such that some powder remains free flowing in solution with swirling without clumping.

Extraction is a process which involves transfer of a solute from one phase to another. A cup of tea or coffee prepared represents a process of extraction.The flavor and odor components are extracted from the dried material into the water.

Anhydrous magnesium sulphate works as a drying agent. Magnesium sulfate (MgSO₄) works by forming complex with H₂O in the solvent. It forms a hydrated MgSO₄ precipitate. This precipitate is then filtered out by gravity, which yields an anhydrous product. Due to the high affinity towards water molecules, MgSO₄ removes any amount of water from the extracts.

Due to the presence of an active hydrogen atom, ethyl alcohol reacts with magnesium metal. Diethyl ether, does not have any replaceable hydrogen atom. So, it does not react with magnesium sulfate, therefore, can be dried by anhydrous magnesium sulfate.

Complete question is -

How much anhydrous magnesium sulfate is required to dry a diethyl ether solution after preforming extractions involving water?

Select answer and submit.

a. Enough to cover the tip of your scoopula once

b. 1 g/mL of diethyl ether

c. Enough such that some powder remains free flowing in solution with        

   swirling without clumping

d. Anhydrous magnesium sulfate doesn't dry diethyl ether

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what are the concerns presented by overheating a distillation to a dry flask? select one or more: the remaining solid residue might contain explosive peroxides. the lack of liquid in the original flask might reverse the distillation process. the dry flask might become brittle and could easily be broken. the empty glassware might heat quickly, igniting vapors from the distillation.

Answers

The empty glassware might heat quickly, igniting vapors from the distillation is the concerns presented by overheating a distillation to a dry flask.

What happens if you overheat the distillation process?

First and foremost, consider safety. If you heat an organic compound in an improperly vented closed-system distillation apparatus, it can build pressure and potentially burst. The resulting explosion can produce dangerous flying glass, hot, corrosive chemicals, and potentially hazardous fumes.A distillation should never be overheated to the point where all of the liquid has been extracted. There could be solid residue left over that contains hazardous compounds. Furthermore, without liquid, the glassware would heat up faster, potentially igniting the vapors still present in the setup.Due to superheating the solution, an overheated flask may cause bumping and give you an observed boiling point that is too high. You can adjust the rate of heating by piling up or scraping away some sand from the flask.

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Which sample is more dense? How does the graph show you this?

Answers

An object that sinks in water is more dense than the one which floats on it. The slope on a graph can determine the density of these objects.

For an identical size object, a dense object weighs more than a less dense one. A substance that is less dense than water will float on it; a substance that is denser will sink. Density equals mass per unit volume, or D = M / V, is the density equation.

The density of a substance can be determined by dividing its mass by its volume. Mass is on the y-axis and volume is on the x-axis in a graph of mass against volume. By calculating the slope, which is the change in y divided by the change in x, you may use this sort of graph to compute density.

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If we took 4 liters of gas at 0.7 atmospheres (the pressure of the atmosphere in Denver, Colorado) and compressed it to a pressure of 6.0 x 104 atmospheres, what would the volume of that gas be?​

Answers

Just as height and breadth are ways to express size, volume is a measure of an object's size.

What is the gas's volume?

The area occupied by gaseous particles under normal temperature and pressure circumstances is referred to as the volume of gas. It is identified as a "V. The letter "L" stands for "liters," the SI unit of volume. At normal temperature, a mole of gas has a volume of 24 m3, or 24 000 cm3. The molar volume of a gas is the name given to this quantity. For instance, the formula for calculating the volume of 40 moles of gas at a temperature of 250 K and a pressure of 1013 hPa is V = nRT/p = 40 * 8.31446261815324.

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At the end of an enzymatic reaction, what will the concentrations of the substrate, product, and enzyme be relative to the start of the reaction?.

Answers

At the end of an enzymatic reaction, the concentration of the enzyme does not change as the substrate and product concentrations rise.

How does the concentration  of a substrate impact the rate at which an enzyme reacts in an enzymatic reaction?

An enzyme-catalyzed reaction initially progresses at a faster pace as substrate concentration rises. This rise in reaction rate levels off as the substrate saturates the enzyme molecules. An enzyme's concentration influences how quickly a reaction is catalyzed, and vice versa.

As long as there is substrate available, increasing the concentration of the enzyme will accelerate the reaction.

Up until a certain point, increasing the substrate concentration also accelerates the process. As more molecules of substrate and enzyme interact, more product will be produced.

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Regina conducted an investigation to determine whether earthworms add nutrients to soil. she used two pots of soil. she added three earthworms to the first pot. she did not add any earthworms to the second pot, which was the control. regina tested the nutrient levels of the soil in both pots after two weeks. what type of investigation is regina conducting? descriptive comparative experimental procedural

Answers

Regina conducted an investigation to determine whether earthworms add nutrients to soil. she used two pots of soil. she added three earthworms to the first pot. she did not add any earthworms to the second pot, which was the control. Regina tested the nutrient levels of the soil in both pots after two weeks. The type of investigation is Regina conducting is experimental.

Experimental study is a quantitative method of research which allows to visualize the effects of variable change by keeping other variables in control. These involve random experimental control.

There is an independent variable, a dependent variable and a set up which is meant for control in an experimental study. The control is to establish the validity of the experimental study.

Experiments creates the cause and effect relationship. This experiment was designed to know whether the earthworms add any nutrient to the soil.

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An unknown substance appears as a white powder

Answers

Answer:

How do you identify an unknown white powder?

Not only can Raman spectroscopy be used to identify unknown white powders rapidly, it can also be used to identify explosives (Figure 3) and other biochemical agents such as anthrax and mustard gas

Explanation:

A gaseous hydrogen and compound containing is decomposed and found to contain 85.63% c and 14.37% h by mass. the mass of a 255ml of the gas, measured at stp, was found to be 0.646g

Answers

The molecular formula of the compound is [tex]C_{4} H_{8}[/tex]

We can calculate the empirical formula from the carbon and hydrogen percentage by assuming that we have 100 g of the substance:
carbon: 85.63 g / 12 g/mol = 7.1358 mol
hydrogen: 14.37 g / 1 g/mol = 14.37 mol
We divide the moles with the smallest amount to get a mole ratio:
7.1358 mol / 7.1358 mol = 1
14.37 mol / 7.1358 mol = 2.01
So the empirical formula is [tex]CH_{2}[/tex], with the molar mass of 12 + 2 * 1 = 14 g/mol.
We can calculate the molar mass of the compound using ideal gas laws. At STP, 1 mol of any gas has a volume of 22.4 L, so:
1 mol : 22.4 L = X : 0.255 L
X = 1 mol * 0.255 L / 22.4 L = 0.0114 mol
From this, we calculate the molar mass of the gas:
0.0114 mol : 0.646 g = 1 mol : X
X = 0.646 g * 1 mol / 0.0114 mol = 56.67 g/mol
To get the molecular formula, we divide the molar mass of the gas by the molar mass of the empirical formula:
56 g/mol / 14 g/mol = 4
So now we multiply the empirical formula by 4 to get the molecular formula:
[tex]C_{4} H_{8}[/tex]

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Calculate the displacement of an object that traveled 4m east, turned 90 degrees, and traveled 5m north.

Answers

The displacement of an object that traveled 4m east , turned 90 degress and traveled 5m north is 6.40 m

Displacement of an object is defined as the change in position of the object. displacement is the vector quantity , which means it has magnitude as well as direction.

In the give case an object first traveled east 4m and then turn 90 degree an traveled 5m north , so, it makes a right angled triangle .

by applying Pythagoras's theorem to the triangle we get

displacement = [tex]\sqrt{(4m)^{2} + (5m)^{2} }[/tex]

                       = [tex]\sqrt{16 + 25}[/tex]  m

                       = [tex]\sqrt{41}[/tex] m

                       = 6.40 m

Thus,The displacement of an object that traveled 4m east , turned 90 degress and traveled 5m north is 6.40 m.

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Two type of chemical compounds

Answers

Answer:

molecular (covalent) and ionic

Explanation:

Calculate the maximum wavelength of light capable of dissociating the br–br bond in one molecule of bromine if the bond energy, or bond dissociation energy, is 194 kj/mol.

Answers

According to bond energy, the maximum wavelength of light is 614 nanometers.

We need to know about bond energy to solve this problem. Bond energy is the energy needed to bond other atoms in the molecule. To determine the energy in one molecule of chlorine monofluoride, we can use this formula:

E = BE / Na

where E is the energy of photon, BE is bond energy and Na is Avogadro's number (6.02 x 10²³ atoms/mol)

Now, we can calculate the shortest wavelength by using Einstein's equation for photon energy:

E = h . c / λ

where h is Planck constant (6.6 x 10¯³⁴ J.s), c is the speed of light (3 x 10⁸ m/s) and λ is the wavelength.

From the question above, we know that

BE = 194 kJ/mol = 194 x 10³ J/mol

By substituting the given parameters, we can calculate the maximum wavelength

E = BE / Na

h . c / λ = 194 x 10³ / 6.02 x 10²³

6.6 x 10¯³⁴ . 3 x 10⁸ / λ = 194 x 10³ / 6.02 x 10²³

λ = 6.14 x 10¯⁷ m

λ = 614 nm

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