Chapter 20, Problem 31QP

Interpretation Introduction

Interpretation:

The number of moles of A, B, C, and D left after $30\text{ days}$ are to be calculated.

Concept Introduction:

The amount a particular radioactive isotope after time t is given by the following expression:

$\text{ln}\frac{N_t}{N_o}\text{=}-\text{k}t$

Here, $\text{k}$ is the rate constant for the radioactive decay, $N_t$ is the amount of sample left after time t, and $N_0$ is the initial amount of the sample.

Nearly all radioactive decay is of first order and its rate constant is given as

$k\text{ = }\frac{0.693}{t_{1/2}}$

Here, $t_{1/2}$ is the half-life of the radioactive substance.