Chapter 11, Problem 40QRT

Interpretation Introduction

Interpretation:

The time taken to reduce the initial concentration of $S{O}_{2}C{l}_2$ to $1.2\times {10}^{-4}mol$ 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 $A$

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

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