Chapter SH, Problem 20.6APP

To determine

To calculate: Half-life of $\text{C}\text{l}$ .

Answer to Problem 20.6APP

Half-life of $\text{C}\text{l}$ is 148.8 minutes.

Explanation of Solution

Given:

A sample of $\text{C}\text{l}$ decays $\text{25\%}$ to its original amount in $\text{74}\text{.4 minutes}$ .

Formula used:

Half-life of the of the sample is the time taken for it to decay to $\text{50\%}$ of its original amount.

Calculation:

Since, the sample of $\text{C}\text{l}$ decays $\text{25\%}$ to its original amount in $\text{74}\text{.4 minutes}$ , it decays to $\text{50\%}$ of its original amount in $\text{74}\text{.4}\times \text{2 = 148}\text{.8 minutes}$ .

Conclusion:

Half-life of $\text{C}\text{l}$ is 148.8 minutes.