Chapter 13, Problem 131RQ

Interpretation Introduction

Interpretation:

The number of alpha particles that are emitted per second by one picogram of ${}^{220}\text{Rn}$ is to be determined.

Concept Information:

The rate of reaction is defined as the speed at which a chemical reaction proceeds.

It may also be defined as the concentration of a reactant that is transformed into product at a particular instant of time.

The differential rate law for the simplest first-order reaction is as follows.

$r=k\left[\text{B}\right]$

The relationship between concentration and time for a reaction with this rate law is given as,

$\ln {\left[\text{B}\right]}_{\text{o}}-\ln {\left[\text{B}\right]}_t=kt$

Here, $r$ is the rate of the reaction, ${\left[\text{B}\right]}_t$ is the concentration of the reaction at time $t$, ${\left[\text{B}\right]}_0$ is the initial concentration, and $t$ is the time.