you are making a solution of sodium chloride for an experiment in the lab. you are instructed to add 250 mg of sodium chloride to 500 ml of lab water. determine the sodium chloride concentration of the solution in units of mg/l, ppm, and state your assumptions.

Answers

Answer 1

Making a solution of sodium chloride for an experiment , we add 250 mg of sodium chloride to 500 ml of lab water. the sodium chloride concentration of solution in unit of mg/l is 499.7 mg/l and in ppm is 499.7 mg/l.

mass of solute = 250 mg = 0.250 g

volume of solvent = 500 ml = 500 g

mass of solution  = 0.250 g + 500 g = 500.25 g

concentration of solution in ppm ( parts per million ).m

= ( mass of solute in g / mass of solution in g  ) × 1000000

= ( 0.250 g / 500.25 g) × 1000000

= 499.7 ppm

so, we know that , 1 ppm is equivalent to 1 mg /l

1 ppm = 1 mg/l

Therefore, 499.7 ppm = 499.7 mg / l.

thus,Making a solution of sodium chloride for an experiment , we add 250 mg of sodium chloride to 500 ml of lab water. the sodium chloride concentration of solution in unit of mg/l is 499.7 mg/l and in ppm is 499.7 mg/l.

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Related Questions

What is the reason for having an engineering design process?
A. To be able to develop the most successful engineering product
B. To complete a scientific experiment
C. It’s the law of engineering.
D. The products will sell for more money.

Answers

B to complete a scientific experiment

What represents the average kinetic energy of the molecules of any gas? Choose the correct answer.
O pressure
O molar mass
O temperature
O container volume

Answers

Answer:

What represents the average kinetic energy of the molecules of any gas? Choose the correct answer.

=Temperature

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Convert the density of a red solution (1.31 g/ml) to pounds/ inch3 . recall that 1 ml = 1 cm3 , 2.205 pounds = 1 kg, 2.54 cm = 1 inch, 1 liter = 1.056 quarts.

Answers

The conversion of density of a red solution is 1.31 g/ml  to [tex]pound/inch^{3}[/tex] is 0.0473 [tex]pound/inch^{3}[/tex].

The density of red solution = 1.31 g/ml = 0.00131 kg / [tex]cm^{3}[/tex]

1ml = 1[tex]cm^{3}[/tex]

2.205 pounds = 1kg

so, 0.00131 kg / cm3 = 0.00131 × 2.205 pounds / cm3

2.54 cm = 1 inch

1 l = 1.056 quarts.

now, from the above values,

1.31 g/ml = ( 0.00131 × 2.205) pounds /[tex]cm^{3}[/tex] × (2.54 cm / inch )3

              =   0.0473 pound / [tex]cm^{3}[/tex]

thus, we get the required conversion from g/ml to pounds / inch3.

Therefore,The conversion of density of a red solution is 1.31 g/ml  to [tex]pound/inch^{3}[/tex] is 0.0473 [tex]pound/inch^{3}[/tex].

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calculate the molar concentration of a 3.0% mass percent concentration of h2o2. you can assume the density of the solution is 1.00 g/ml. (hint: start with 1.00 kg of solution)

Answers

Solution would be 0.88mol/l.

What is a solution?

Solution is a homogeneous mixture of a one or more solutes dissolved in a solvent.

solvent: substance in which solute dissolves to produce a homogeneous mixture

solute: substance that dissolves in solvent to produce a homogeneous mixture

Note that solvent is the substance that is present in greatest amount.

Many different kinds of the solutions exist, for example, a solute can be a gas, a liquid or a solid. Solvents can also be the gases, liquids or solids.

Life processes depend in the large part on solutions. Oxygen from lungs goes into solution in blood plasma, unites chemically with the hemoglobin in the red blood cells, and is released to the body tissues. The products of digestion also are carried in the solution to the different parts of the body.

The ability of liquids to dissolve the other fluids or solids has many practical applications. Chemists take the advantage of differences in solubility to separate and purify materials and to carry out chemical analysis. Most chemical reactions occur in the solution and are influenced by the solubilities of the reagents. Materials for chemical manufacturing equipment are selected to resist solvent action of their contents.

Solution would contain 30g h2o2 per 1000g of solution. Since the molecule of h2o2 is 34g/mol then 30g would be,

30g/(30g/mol) = 0.88mol

So the solution would be 0.88mol/l.

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Consider the gases h2, ne, o2, and ar. Put them in order of their decreasing rate of effusion.

Answers

The order of decreasing rate of effusion of gases is as follows :Hydrogen, Neon, Oxygen, and Argon.

Rate of Effusion :

The rate of effusion is inversely proportional to the square root of the molecular mass and the rate of effusion of a gas is directly proportional to the speed of the movement of gas.

It can be mathematically expressed as

         rate of effusion ∝   1  

                                       √M  

This means that if two gases are at same pressure and temperature, the ratio of their rate of effusion is inversely proportional to ratio of square roots of mass. So, lighter gases will diffuse more quickly. The molecular masses of the gases are,

molecular mass of H₂= 2 g

molecular mass of O₂ =32 g

molecular mass of Ar = 39.94 g

molecular mass of Ne = 20.17 g

If we take ratios of these, for example between hydrogen and oxygen -

rate of effusion of hydrogen = √32 = 4

rate of diffusion of oxygen        √2       1

Hydrogen effuses four times more rapidly than oxygen.

The rate of effusion is highest in Hydrogen and lowest in Argon.

The order of decreasing rate of effusion of gases is as follows:

Hydrogen, Neon, Oxygen, and Argon.

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Elements in the same group share many chemical and physical properties, such as:

a
Conductivity
b
Malleability
c
Reactivity
d
All of the above

Answers

Elements in the same group share many chemical and physical properties, such as the follows:

ConductivityMalleabilityReactivity

What are the features of elements in the same group?

Elements are the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.

Elements are arranged in order of their atomic number on the periodic table. The periodic table is arranged in groups (vertical columns) and periods (horizontal rows).

Elements in the same group possess the same chemical properties, which include;

MalleabilityConductivityReactivity

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The components of substances that are ______ separate when the substance is placed in water.

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The components of substances that are ionically bonded separate when the substance is placed in water.

Water is an excellent solvent due to its polarity and its ability to for the hydrogen bonds. Because of this property, different substances dissolves and get separated in the water which are ionically bonded.

Ionically bonded compounds separates in the water because the molecules of water hydrate the ions. To separate an ionically bonded compound, the water molecules should be able to stabilize the ions. This stability results from breaking the ionic bonds. They do this by hydrating the ions.

Water is a polar molecule and has a permanent dipole moment. The oxygen atom has a partial negative charge and the hydrogen atoms have a partial positive charge. The water molecules attracts the positive and negative ions, when an ionic substance is placed in water.

The positive ions have several water molecules around them, and oxygen atoms are close to the positive ion. The negative ions have several water molecules around them, and hydrogen atoms are close to the negative ion.

The water molecules reduces attractions between the ions resulting in the weakening of ionic bond which results in the hydration of ions.

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Nitrogen monoxide gas reacts with hydrogen gas to form ammonia gas and water vapor. True or false?.

Answers

Ammonia (NH3) and hydrogen peroxide (H2O2) can react to form Nitrogen (N2), water (H2O), nitric oxide (NO), and some amount hydrogen (H2) and oxygen (O2). Overall, the reactions involved are exothermic. Ammonium is a cation (NH4+), the conjugate weak acid from ammonia (NH3)

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A student drops a bottle of shampoo because his hands were slippery from the shampoo. Other than its slippery feel, what other tests would confirm which type of compound was in the shampoo? Choose the two statements that apply.
A. It tastes bitter.
B. It reacts with metals.
C. It turns red litmus blue.
D. It turns blue litmus red.

Answers

Answer:A student drops a bottle of shampoo because his hands were slippery from the shampoo. Other than its slippery feel, what other tests would confirm which type of compound was in the shampoo? Choose the two statements that apply.

A. It tastes bitter.

B. It reacts with metals.

C. It turns red litmus blue.

D. It turns blue litmus red

Explanation: ans B. It reacts with metals. mark me as  brainliest

12.3 grams of sodium equals how many atoms of sodium?

Answers

According to Avogadro, one mole of a material consists :

6.022x10∧23 atoms. Avogadro's number is this. Use dimensional analysis to determine the number of atoms present in two moles of sodium.

Na x 2.0 moles

6.022⋅10

23g1

mol=1.20

10.24 Na atoms.

How is molar mass linked to moles?

The mass of 6.022 10 23 atoms, molecules, or formula units make up one mole of a material, which is known as the molar mass. This value is given in grammes per mole.

The SI unit for calculating a material's amount is the mole. It is symbolised by the letter mol. The volume of material that includes the same number of distinct things is another name for it. The molar mass of a substance is its mass expressed in grammes per mole.

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An order calls for a wound irrigation with 100 ml of a mixture of hydrogen peroxide and normal solution at 1:4 ratio. how many ml of peroxide will be used?

Answers

20 ml of peroxide will be used if an order calls for a wound irrigation with 100 ml of a mixture of hydrogen peroxide and normal solution at 1:4 ratio.

Explanation

Simple maths

100 ml of a mixture of hydrogen peroxide and normal solution at 1:4

add 1 + 4 gives 5

hydrogen peroxide = 1/5 of the 100ml solution

                                 = 20 ml

What is hydrogen peroxide?

Hydrogen peroxide is a mild antimicrobial that can be used straight to the skin for small burns, scrapes, and wounds. Additionally, it can be used as a mouthwash to ease minor mouth irritation (induced, for instance, by canker/cold sores, gingivitis) or to help remove mucus.

This product works by releasing oxygen into the affected region when it is applied. The oxygen is produced, which causes foaming, which aids in cleaning the area by removing dead skin. Animal bites, severe burns, and deep wounds shouldn't be treated with this drug.

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6. A 5.0 g sample of water has a volume of 5 mL. What is the density of the water?

Answers

Answer:

1g/

Explanation:

density=mass÷volume

5g÷5ml

1g/m

What is the ionic bond diagram of magnesium hydride?

Answers

The correct answer is MgH2.

In most cases, a metal reacting with a non-metal results in the formation of ionic compounds. As is common knowledge, metals always contain extra electrons on their outermost shells while non-metals never do. Metals thus transfer their electrons to non-metals, allowing both to reach the required octave.

Mg, a metal, contains two electrons in its outermost valence shell (E.C-2, 8, 2), while hydrogen, a gas, only has one electron in its outermost shell in the compound MgH2 (E.C- 1). As a result, Mg receives two electrons, achieving its stable state and satisfying the octet rule. On the other side, hydrogen gets one electron per atom, achieving the electrical structure of helium and becoming stable.

MgH2 is an ionic compound as a result.

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Which two words best complete this sentence: When wood burns it is converting chemical _________ energy stored in the wood into ________________ energy and light and sound of the fire.

potential, even greater potential
conduction, convection
potential energy, kinetic
kinetic energy, potential

Answers

Answer:

It would be C, Potential energy, kinetic.

Explanation:

One isotope of a metallic element has the mass number 64 and 34 neutrons in the nucleus. the cation derived from the isotope has 28 electrons. what is the atomic number?

Answers

One isotope of a metallic element has the mass number 64 and 34 neutrons in the nucleus. the cation derived from the isotope has 28 electrons. So the atomic number will be 30.

Mass number of isotope = 64

Number of neutrons = 34

So number of protons = 64 - 34 = 30

Hence atomic number of metal = 30

Thus metal is = zinc

Now as it is forming cation with 28 electrons it means it has lost two electrons so it must have a dipositive charge.

The symbol of metal ion will be Zn^+2

The number of protons in an atom's nucleus or the number of electrons in an electrically neutral atom is the atomic number of that atom. An atom of sodium, for instance, has 11 protons and 11 electrons. Therefore, the atomic number of the Na atom is equal to the sum of its protons and electrons, or 11.

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Thanks in advance for you help

Answers

Answer:

Option 3

Explanation:

Because electrons have the same charge, they repel. So, if possible, the electrons should be in different orbitals.

Correct option is 3 for the arrangement for a 2p sublevel with only 3 electrons.

Atomic orbitals unite to generate an equal number of hybrid orbitals during the formation of certain compounds, a process known as orbital hybridization. In terms of both atomic theory and quantum physics, an atomic orbital is a function that explains the location and wave-like activity of an electron in an atom.

The probability of finding an electron in any atom in any region around the nucleus may be calculated using this function. A mathematical function known as a molecular orbital can be used to describe the location and wave-like activity of an electron inside a molecule.

This function may be used to determine chemical and physical attributes such as the probability of finding an electron in a specific region. In addition to being entirely destroyed, orbital bombardment also does damage to any army.

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Why is carbon so useful in molecules for living things? (1 point)
O Carbon is produced in respiration, making it a readily available element.
O Carbon can form the backbone for millions of compounds found in living things.
O Carbon is produced in photosynthesis and carries the energy needed for life.
O Many molecules in living things have millions of carbon atoms in them.

Answers

Carbon is very useful in molecules for living things because:  Carbon is produced in photosynthesis and carries the energy needed for life.

Photosynthesis is the process of synthesizing one's own food using the inorganic raw materials like sunlight energy, water and carbon dioxide to form food in the form of sugars and releasing oxygen as a by-product. The food synthesized by photosynthesis of an organic carbon compound which is then transferred to further species of the food chain.

Energy is the most essential requirement for living organism's to perform all the life processes inside the body. This energy is derived by the ingested food which is formed of carbon atom. This demonstrates the usefulness of carbon for living things.

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Explain why there are different colors of visible light

Answers

Question: GoodMorning: ) ✨ Explain why there are different colors of visible light ?

Answer: WAVELENGTHS OF VISIBLE LIGHT

As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.Light is made up of different wavelengths, or colors, and white light is a combination of all of them. When a ray of white sunlight hits a patch of beach ball, the paint absorbs most of the wavelengths. It reflects the rest. For example, if the patch is blue, it reflects the blue wavelengths and absorbs all the others.

Explanation: Here are the 7 from shortest to longest wavelength.

Violet - shortest wavelength, around 400-420 nanometers with highest frequency. ...

Indigo - 420 - 440 nm.

Blue - 440 - 490 nm.

Green - 490 - 570 nm.

Yellow - 570 - 585 nm.

Orange - 585 - 620 nm.

Red - longest wavelength, at around 620 - 780 nanometers with lowest frequency. Electromagnetic waves have many different wavelengths and frequencies that span a range known as the electromagnetic spectrum (Fig. 1.1). Light is a narrow range of electromagnetic waves that the eye can detect. Light of different wavelengths produces different perceptions of color.

Have An Awesome Day/Night<3

6. What must be done to observe the chemical properties of a substance?
O Change it into a different substance.
Be able to describe its hardness or luster.
Watch it melt from a solid into a liquid.
Change its shape into a different shape.

Answers

The statement that explains what must be done the observe the chemical property of a substance is as follows: Change it into a different substance (option A)

What is a chemical property of a substance?

The chemical property of a substance is any of a material's properties that only becomes evident during a chemical reaction.

Chemical reaction is a reaction that typically involves the breaking or making of interatomic bonds, in which one or more substances are changed into others.

This suggests that chemical properties cannot be observed via change of state or phase but can only be observed when the substance changes into a different substance i.e. undergo a chemical reaction.

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What can models show us specifically about the makeup of substances on the atomic level?

Answers

Models can show us specifically how atoms of a substance are arranged and connected on the atomic level.

What are atomic models?

Atomic models is defined as a graphic representation of the structure of an atom which shows that it contains a nucleus made up of proton and neutrons and has an electron revolving round around it.

The first scientist that proposed the description of the inner structures of an atom is William Thomson in 1900.

Other scientist that carries out works on the atomic structure to produce a model include the following:

John Dalton

J.J. Thomson

Ernest Rutherford

Niels Bohr

Erwin Schrödinger.

Therefore, Models are important in makeup of substances on the atomic level because it can show us specifically how atoms of a substance are arranged and connected on the atomic level.

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To bake a cake I used 150 grams of flour, 70 grams of sugar, and 45 grams of milk. After going through a chemical change by baking the ingredients to make the cake, how many grams will the cake weigh? Will it be more, less, or equal to what we started with? Explain.

Answers

The cake should weigh 265 grams ordinarily. However, it could weigh less.

Chemical reactions and the law of conservation of mass

According to the law of conservation of mass, masses can neither be created nor destroyed during the course of chemical reactions. However, masses can be converted from one form to another.

Going by this law, the mass of the resulting cake from the illustration should be the cumulative mass of the ingredients of the cake.

However, during the process of baking, some mass might have been converted to gas and escaped into the atmosphere. Thus, the final cake may weigh less than the cumulative mass of the ingredients.

In the absence of conversion of mass to gas and no ingredient spillage during the entire process, the mass of the cake should be the cumulative mass of the ingredients.

Thus:

Mass of the cake = 150 + 70 + 45

                            = 265 grams

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At 1 atmosphere and 20 degrees Celsius, all are samples of H2O must have the same a) mass b) density c) volume d) weight

i know the answer is density but someone please explain why, a good explain room please and I’ll mark brainliest!!

Answers

At 1 atmosphere and 20 degrees Celsius, all samples of H₂0(l) must have the same density.

The correct option is B.

What does atmosphere mean?

The atmosphere of a globe or other celestial body refers to the layers of gases that surround it. Nitrogen makes up around 78% of the chemicals in the Earth's atmosphere, followed by oxygen at 21% and other gases at 1%.

Why is the atmosphere important?

It not only shields us from harmful UV solar radiation but also gives us the oxygen we need to survive. Without it, our planet could not sustain the pressure required for liquid water to exist on its surface. It also maintains the planet's temperature and the conditions necessary for life to exist.

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HELPPP MEEEE
The compounds, H3PO4, HBr, H2SO4, and HNO3 are classified as which of the following?

Select one:
a. Bases
b. Acids
c. Neutral substances
d. Salts

Answers

Acids i think... because I know for sure H3PO4 is a acid and so is Hbr...

Answer:

B. Acids

Explanation:

All of them are acids because H3PO4 is phosphoric acid, HBr is hydrobromic acid, H2SO4 is sulfuric acid, and HNO3 is nitric acid.

Pls. give me a lot of points I took a lot of time to help you. :)

Answer these questions in the introduction of your Lab Report:
What is elasticity?
How is elasticity related to the bounciness of a ball?
What was the purpose of your experiment?
3. Answer these questions in the discussion and conclusion of your Lab Report:

What do your results indicate about the relationship between temperature and bounce height of a ball?
What are some sources of error in your experiment?
What are some ways that you could modify this experiment?

Answers

An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.

What is elastic collision?An elastic collision occurs when there is no net loss of kinetic energy as a result of the collision. Momentum and kinetic energy are both conserved in elastic collisions. Elasticity is a material body's ability to return to its original dimensions and shape after being deformed by external forces. When the rubber ball hits the ground, it is compressed or "squished," but because it is extremely elastic, it immediately returns to its original shape. The following are the goals of the elastic collision experiment: When a ball hits the ground, it can do one of four things: It may return at the same speed as when it first hit the ground.

When the ball is heated, it becomes more elastic because the bonds can move more freely and thus stretch more than those in a cooler ball, resulting in less energy loss. As a result, the ball bounces higher. Take two identical balls. One is treated with heat, the other with cold water, and both are allowed to bounce from the same height.

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Line a is parallel to line b with a transversal of line c. Find m∠4 if m∠8 = 65.

Answers

115, if it is same side exterior/interior. it will be 65 if it's corresponding or alternative interior/exterior

Why is the Sun's lifespan primarily based on its initial mass?

Answers

Answer:

Probably because there is more helium to burn. After billions of years there's only gonna be helium so no more of that firey energy.

I think....

A 5. 0 l flask containing o2 at 2. 00 atm is connected to a 3. 0 l flask containing h2 at 4. 00 atm and the gases are allowed to mix. What is the mole fraction of h2? report your answer to two decimal places.

Answers

The mole fraction of hydrogen is 0.55.

The volume of oxygen = 5 litres

The pressure of oxygen = 2 atm

The volume of hydrogen = 3 litres

The pressure of hydrogen = 4 atm

The universal gas constant is R.

R = 8.31 J mol—¹ K—¹

The ideal gas equation is,

PV = nR T

The number of moles of oxygen is,

PV = nRT

[tex]n = \frac{ PV }{RT }[/tex]

[tex]n = \frac{2 \times 5}{8.31 \times 273} [/tex]

n = 0.004 moles

The number of moles of oxygen is 0.004 moles.

The number of moles of hydrogen is,

PV = nRT

[tex]n = \frac{ PV }{RT }[/tex]

[tex]n = \frac{4 \times 3}{8.31 \times 273} [/tex]

n = 0.005 moles

The number of moles of hydrogen is 0.005 moles.

The mole fraction of hydrogen is,

[tex]Mole \: fraction = \frac{ Moles \: of \: solute }{Total \: number \: of \: moles \: of \: solute \: and \: solvent}[/tex]

[tex]Mole \: fraction = \frac{0.005}{0.009}[/tex]

= 0.55

Therefore, the mole fraction of hydrogen is 0.55.

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TRUE OR FALSE In the space provided, write "true" if the sentence is true. Write "false" if the sentence is false.
1. Weight is a measure of the pull of gravity on an object.
2. Scientists use English units of measurement.
3. The prefix centi- stands for one hundredth (1/100).
4. A graduate is used to measure mass. 5. The basic unit of length in the metric system is the meter.
6. Volume is a measure of the amount of matter in an object.
7. One kilogram is less than one gram.
8. A measurement has two parts.
9. A unit is an amount used to measure something.
10. Most countries use the metric system.​

Answers

Based on measurements, the following statements are described as True or False:

1. Weight is a measure of the pull of gravity on an object is True.

2. Scientists use English units of measurement is False.

3. The prefix centi- stands for one hundredth (1/100) is True.

4. A graduate is used to measure mass is False.

5. The basic unit of length in the metric system is the meter is True.

6. Volume is a measure of the amount of matter in an object is False.

7. One kilogram is less than one gram is False.

8. A measurement has two parts is True.

9. A unit is an amount used to measure something is True.

10. Most countries use the metric system. is True.

What is weight of a substance?

The weight of a substance is the pull of the gravity on the body.

The weight of a body is the product of the mass of the body and the acceleration due to gravity.

In measurements of the the properties of objects, the universally accepted unit used by scientists is the SI Units of measurement.

The prefix centi-  used in measurements such  as centimeter stands for one hundredth (1/100).

When measuring the mass of an object, a balance is used to measure the mass.

The basic unit of length in the metric system is the meter.

Mass is a measure of the amount of matter in an object whereas volume is the amount of space a given mass of the object occupies.

The unit of measuring mass is kilogram. One kilogram is equal to 1000 grams.

A measurement has two parts; a number and the unit. For example, mass of 2 kg.

A unit is an amount or value used to measure something.

Most countries use the metric system with some few exceptions such as the US.

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4. Metal X forms two different chlorides A and B, if 12.7g of chloride A and 16.3g of chloride B contain 7.1g and 10.7g of chlorine respectively. Show that the figures agree with the law of multiple proportions. Write their formulae.​

Answers

The formulae of the metal according to the law of multiple proportions are XCl₂ and XCl₃, and X is Fe so FeCl₂ and FeCl₃

We have the two chlorides that are XyClw and XyClz. We have to show that the ratios w to z are in small whole numbers.

Compound A = 12.7 g X and 7.1 g Cl, then X must be 5.56 g

Compound B = 16.3 g X and 10.7 g Cl, then X must be 5.56 g.

7.1 x (12.7/16.3) = 5.53 g Cl for each gram of X

10.7 x (12/7/16.3) = 8.34 g Cl for each gram of X. Then what is the ratio of the two Cl numbers: Now, divide both numbers by the smaller one. That is

5.53/5.53 = 1.00

8.34/5.53 = 1.508.

Rounding off 1.508 to 1.50, then you can see that 1.0 to 1.5 is actually 2 to 3 and those are small whole numbers. Within experimental error, the law of multiple proportions is proved to be true.

The compounds must be XCl₂ and XCl₃, and X is Fe so FeCl₂ and FeCl₃ are the compounds.

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1Table salt is a compound made of sodium and chlorine
atoms .From the table, what can you conclude about the properties of
compounds and the elements they are made of?
Some Properties of Three Substances
Sodium
Chlorine
gas
solid
green
silver
Property
State (at room temperature)
Color
Toxicity
poisonous
poisonous
Table salt
solid
white
not
poisonous

Answers

Answer:

This question is to vague. PS: what are you talking about?

Explanation:

This question is to vague. PS: what are you talking about?

Other Questions
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