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Kinetics of the Rate of Decay (College)

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Kinetics of the Rate of Decay

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]
What is the order of the rate of decay?
  1. second order
  2. first order
  3. third order
  4. pseudo first order
Which of the following equations with a natural logarithm correctly represents rate of decay?
  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]
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
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
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
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
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
Determine the half-life of a radioisotope, if it has a rate constant of 0.099/day. Show your work.

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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