Radioactive Decay:
The half life of a
certain radioactive
substance is 46 days.
There are 12.6 g
present initally.

HELP PLS

Answers

Answer 1

The question is incomplete, here is the complete question:

The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.

When will there be less than 1 g remaining?

Answer: The time required for a radioactive substance to remain less than 1 gram is 168.27 days.

Step-by-step explanation:

All radioactive decay processes follow first order reaction.

To calculate the rate constant by given half life of the reaction, we use the equation:

[tex]k=\frac{0.693}{t_{1/2}}[/tex]

where,

[tex]t_{1/2}[/tex] = half life period of the reaction = 46 days

k = rate constant = ?

Putting values in above equation, we get:

[tex]k=\frac{0.693}{46days}\\\\k=0.01506days^{-1}[/tex]

The formula used to calculate the time period for a first order reaction follows:

[tex]t=\frac{2.303}{k}\log \frac{a}{(a-x)}[/tex]

where,

k = rate constant = [tex]0.01506days^{-1}[/tex]

t = time period = ? days

a = initial concentration of the reactant = 12.6 g

a - x = concentration of reactant left after time 't' = 1 g

Putting values in above equation, we get:

[tex]t=\frac{2.303}{0.01506days^{-1}}\log \frac{12.6g}{1g}\\\\t=168.27days[/tex]

Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.


Related Questions

Philip George and matt are water polo players. The diagram below represents the players positions during a game

What is the measure of the angle at George’s position

A. 6°
B. 37°
C. 60°
D. 83°

Answers

Answer:

It 6

Step-by-step explanation:

Answer:

83 degrees

Step-by-step explanation:

10x+23+8x+12+55-3x=180

15x=90

x=6

10(x)+23 is George's position angle

10(6)+23 =83 degrees

A store is having a special on candy bars. The special is 4 boxes of candy bars for $11.00. Which statement about the box of candy bars is true?​

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Answer:

answer is c (2.75)

Step-by-step explanation:

What is the coefficient in -x^2?

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Answer:

-x i belive it might just be x tho

Step-by-step explanation:

What is the measure of x

Answers

Answer:

x = 75°

Step-by-step explanation:

From the figure it appears that:

[tex] m\angle B = 36\degree [/tex]

and

[tex] m\angle D = 39\degree [/tex]

x is the measure of the exterior angle of [tex] \triangle BDH[/tex]

Therefore, by exterior angle theorem:

[tex] x = m\angle B+ m\angle D [/tex]

[tex] x = 36\degree+ 39\degree [/tex]

[tex] x =75\degree [/tex]

2x2+3x-14=0 Does anyone know the answer?

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Answer: 10/3 or 3.3
hope this helps:)

Answer:

Answers l thenk (1.16)

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In a hotel, Elevator 1 stops at the third floor at an elevation of 40ft. Elevator 2 stops at the parking level at an elevation of -25ft.

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PLEASEEE ANSWER!!!

Answers

Answer:

65 ft

Step-by-step explanation:

Negative and positive numbers can be expressed as how far away they are from zero.

40 is 40 units away from zero. Elevator 1 is 40 units from 0.

-25 is 25 units away from zero. Elevator 2 is 25 units from 0.

To find the distance, we'll add their distances from 0.

40 + 25 = 65

They are 65 units apart. In your problem you specify feet, so they are 50 ft apart.

Choose the equation and the inequality needed to answer this question. Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.

Answers

Answer:

One second let me look it up for u :)

Step-by-step explanation:

Answer:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x  

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

trevor needs to tutor 6 hours to make more than 180

Step-by-step explanation:

I hope this helped :)

What is the probability of rolling a multiple of 3 on a 6-sided die?

Answers

Answer:

33% or 1/3 ...............

1/3, 1:3, or simply about 33%

Let me know if you need help with anything else, I’ll be glad to help!

Which decimal is less than 0.47
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Answers

Answer:

0.5

Step-by-step explanation:

just divide in a calculator

Answer:

0.38

Step-by-step explanation:

Look at the tenths decimal place to compare

3 is less than 4

9 is greater than 4

6 is greater than 4

5 is greater than 4

The only one less than 4 is 3 which corresponds to the decimal 0.38

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Answer:

6/10

Step-by-step explanation:

6/10

Write the negation of the proposition.

Some people don't like walking.

Answers

Answer: All people do like walking

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The negation of a statement is the complete opposite in every way. If a friend makes a claim that some people don't like walking, and you can prove that all people do like walking, then this contradicts your friend. The same can be said in reverse: if your friend claims "all people do like walking", then you can counter back with "some people don't like walking". All it takes is one counter-example to prove the claim "some people don't like walking" to be correct. In terms of logic, the word "some" means "one or more".

35 percent as a decimal

Answers

The answer: 35% = .35

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Answers

Answer:

the answer is -6

Step-by-step explanation:

-14-(-8)=-6.

Answer:

[tex] - 14 - ( - 8) \\ \\ - 14 +8 \\ \\ = - 6[/tex]

There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE. How many students are enrolled in PE?

Answers

Answer:

The answer is 525 students.

Step-by-step explanation:

1250 total students

42% = PE

42% of 1250 = [tex]525[/tex]

Thus, the answer is 525.

Answer: 525 students are enrolled in PE.

Step-by-step explanation:

What would this be?!?

Answers

Answer:

It's C

3 and 3/4

Step-by-step explanation:

1 dozen=12

2 dozens=24

1 1/2 divided by 24 = 1/16

1/16 times 60

3 and 3/4

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What percent is represented by the shaded area?
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Answers

The shaded area represents a 40% percent of the area

Jose has $20 and is saving $6 per week. Ana has $150 and is spending $4 per
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Answers

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Which order pairs are solution to the inequality Y-3x<-8

Answers

Answer:

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Question 3 options:

1)

$190

2)

$210

3)

$230

4)

$300

Answers

Answer:

3 because it makes a of sense

Step-by-step explanation:

Evaluate the following: (½)(10) −(−12) −25

Answers

Answer:

-8

Step-by-step explanation:

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hydrogen 1.67 × 10-24
oxygen 2.66 × 10-23
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Answers

Answer:

7.31 x 10^-23

Answer: CO2 (1 atom of carbon and 2 atoms of oxygen)

3.34 x 10^-24

Answer: H2 (2 atoms of hydrogen)

2.821 x 10^-23

Answer: NH3 (1 atom of nitrogen and 3 atoms of hydrogen)

7.64 x 10^-23

Answer: NO2 (1 atom of nitrogen and 2 atoms of oxygen)

Step-by-step explanation:

hope this helps :)

The matching is as follows;

7.31 x 10^-23 = CO2  i.e. 1 atom of carbon and 2 atoms of oxygen

3.34 x 10^-24 =  H2 (2 atoms of hydrogen)

2.821 x 10^-23 = NH3 (1 atom of nitrogen and 3 atoms of hydrogen)

7.64 x 10^-23 = NO2 (1 atom of nitrogen and 2 atoms of oxygen)

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hi help me who is genius this question what are acc that should be Cr and Dr and how will the ledger will be done also a little help will be helpfull​​

Answers

Hi was a good night

In ANOP, NP is extended through point P to point Q,
mZOPQ = (6x – 15)°, mZPNO = (2x + 18)°, and
mZNOP = (2x – 13). What is the value of x?

Answers

Answer:

x = 10

Step-by-step explanation:

Form the information given, we can deduce that:

m<OPQ is an exterior angle of ∆NOP = (6x - 15)°

m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem:

m<OPQ = m<PNO + m<NOP

(6x - 15)° = (2x + 18)° + (2x - 13)°

Solve for x

6x - 15 = 2x + 18 + 2x - 13

6x - 15 = 4x + 5

6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)

2x - 15 = 5

2x - 15 + 15 = 5 + 15 (addition property of equality)

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Jordyn's rectangular garden is represented in the diagram below. If a diagonal walkway crosses their garden, what is its length, in feet?
Walkway
8 feet
15 feet

Answers

Answer: 23

Step-by-step explanation:

Write an equivalent expression
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Answers

Answer: 2x + 14y + 15

Step-by-step explanation:

8x - 6x + 10y + 6 + 4y + 9

Bring like terms together

8x - 6x  + 10y + 4y + 6 + 9

Combine like terms

2x + 14y + 15

Hope this helped!

expend log10 (x³y⁵)​

Answers

Answer:

3log(x) + 5log(y)

Step-by-step explanation:

[tex] log({x}^{3} {y}^{5} ) \\ = log( {x}^{3} ) + log( {y}^{5} ) \\ = 3 log(x) + 5 log(y) [/tex]

Which statements are true? Check all that apply.

On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis. Please anwser quick!!!!

Answers

Given:

A(2, 3)B(3, 2)C(-2, 2)D(-3, -3)E(0, 3)F(2, 0)G(0, 0)

Let's first understand the different signs and different quadrants.

Quadrant I: (+, +)Quadrant ll: (-, +)Quadrant III: (-, -)Quadrant IIII: (+, -)

Verifying them with the given points,

A is in Quadrant I. - TRUEB is on the x-axis. - FALSEC is in Quadrant I. - FALSED is in Quadrant III. - TRUEE is on the x-axis. - FALSEF is on the x-axis. - TRUEG is on the y-axis. - FALSE

Hope it helps. :)

Answer:

A D F

Step-by-step explanation:

All credit to him

Please solve the question below

Answers

Answer:

AB = 14 units

∠F = 39°

Step-by-step explanation:

Given:

ΔABC ≅ ΔDEF

So,

AB = ED (By CPCT)

So,

AB = 14 units

∠C = ∠F (By CPCT)

∠F = 39°

What value of x makes the equation true 7+2x=4x-5

Answers

Answer:

6

Step-by-step explanation:

Fact

Answer:

x=6

Step-by-step explanation:

1.    7+2x=4x-5

2.   7+2x-2x=4x-5-2x

     7=2x-5

     12=2x

     x=12/2

     x=6

Use the ALEKS calculator to find 62% of 80. Do not round your answer.

Answers

Answer:

ok Naruto

Step-by-step explanation:

49.6

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