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# Kinetics of the Rate of Decay (College)

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## Kinetics of the Rate of Decay

1.
Which of the following equations correctly represents the change in the number of particles per unit of time?
1. $Rate=-{∆N}/{∆t}=k/N$
2. $Rate=-{∆N}/{∆t}=kN$
3. $Rate=-{∆t}/{∆N}=k/N$
4. $Rate=-{∆t}/{∆N}=kN$
2.
What is the order of the rate of decay?
1. second order
2. first order
3. third order
4. pseudo first order
3.
Which of the following equations with a natural logarithm correctly represents rate of decay?
1. $ln(N/N_o)=kt$
2. $ln(N/N_o)=k/t$
3. $ln(N/N_o)=-k/t$
4. $ln(N/N_o)=-kt$
4.
How much of a 67.00 g sample of a radioisotope will remain after 13 years, assuming that k=0.46/year?
1. 0.169 g
2. 2.00 g
3. 16.9 g
4. 170 g
5.
How much of a 120-gram sample will remain after 20 seconds, assuming that k=0.05/second?
1. 40.12 g
2. 0.00025 g
3. 44.15 g
4. None of the above
6.
What is the value of k, assuming that 68 g of a 120-gram sample remains after 20 minutes?
1. 0.28/minute
2. 2.84/minute
3. 28.4/minute
4. 0.028/minute
7.
What is the value of k, if 70 g of a 167-gram sample remains after 37 years?
1. 0.0235/year
2. 2.35/year
3. 23.5/year
4. 235/year
8.
What is the value of k, if 80 g of a 260-gram sample remains after 99 seconds?
1. 119/second
2. 0.119/second
3. 0.0119/second
4. None of the above
9.
Determine the half-life of a radioisotope, if it has a rate constant of 0.099/day. Show your work.

10.
The half-life of radioisotope with a rate constant of 0.757/year is 0.915 years.
1. True
2. False
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