Chapter 11, Problem 38QRT

Interpretation Introduction

Interpretation:

The time taken for reducing the amount of $Xe{\left(C{F}_3\right)}_2$ from $7.5mgto0.25mg$ has to be calculated.

Concept Introduction:

The integrated rate equation for first order reaction is given below.

  $\lambda t=\ln \frac{{\left[A\right]}_o}{{\left[A\right]}_t}$

Where,

    $\lambda =$ rate constant/ decay constant

    $t=$ time taken to change the concentration from ${\left[A\right]}_{o}to{\left[A\right]}_t$

    ${\left[A\right]}_o=$ initial concentration of A

    ${\left[A\right]}_t=$ final concentration of A

Half-life of a first order reaction can be calculated using following equation.

  $t_{\frac{1}{2}}=\frac{0.693}{\lambda }$