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?
- [math]Rate=-{∆N}/{∆t}=k/N[/math]
- [math]Rate=-{∆N}/{∆t}=kN[/math]
- [math]Rate=-{∆t}/{∆N}=k/N[/math]
- [math]Rate=-{∆t}/{∆N}=kN[/math]
2.
What is the order of the rate of decay?
- second order
- first order
- third order
- pseudo first order
3.
Which of the following equations with a natural logarithm correctly represents rate of decay?
- [math]ln(N/N_o)=kt[/math]
- [math]ln(N/N_o)=k/t[/math]
- [math]ln(N/N_o)=-k/t[/math]
- [math]ln(N/N_o)=-kt[/math]
4.
How much of a 67.00 g sample of a radioisotope will remain after 13 years, assuming that k=0.46/year?
- 0.169 g
- 2.00 g
- 16.9 g
- 170 g
5.
How much of a 120-gram sample will remain after 20 seconds, assuming that k=0.05/second?
- 40.12 g
- 0.00025 g
- 44.15 g
- None of the above
6.
What is the value of k, assuming that 68 g of a 120-gram sample remains after 20 minutes?
- 0.28/minute
- 2.84/minute
- 28.4/minute
- 0.028/minute
7.
What is the value of k, if 70 g of a 167-gram sample remains after 37 years?
- 0.0235/year
- 2.35/year
- 23.5/year
- 235/year
8.
What is the value of k, if 80 g of a 260-gram sample remains after 99 seconds?
- 119/second
- 0.119/second
- 0.0119/second
- 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.
- True
- False
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