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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. [math]Rate=-{∆N}/{∆t}=k/N[/math]
  2. [math]Rate=-{∆N}/{∆t}=kN[/math]
  3. [math]Rate=-{∆t}/{∆N}=k/N[/math]
  4. [math]Rate=-{∆t}/{∆N}=kN[/math]
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 represents the rate of decay correctly?
  1. [math]ln(N/N_o)=kt[/math]
  2. [math]ln(N/N_o)=k/t[/math]
  3. [math]ln(N/N_o)=-k/t[/math]
  4. [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?
  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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