Chapter 32, Problem 32.16QAP

Interpretation Introduction

Interpretation:

The determination of chloride in isotope dilution experiment is done by the mixing of 5.0 mg of sodium chloride with specific activity of $3.6\times {10}^{4}cps/mg$ which contains ${}^{38}Cl$. The half time of ${}^{38}Cl$ is 37.3 min. The total amount of chloride present in original sample is to be determined when isolation of pure AgCl of amount 400mg was happened and the counting rate of material is 38cps above the background of 150min.

Concept introduction:

The decay constant is determined by using the formula of half time which is given as-

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

Also, the mass of chloride ion in sample is calculated by following formula-

$m_x=\frac{R_t}{R_m}\times m_m-m_t$ ……………… (1)

Where,

$m_x$ = mass of inactive sample

$R_t$ = counting rate

$R_m$ = counting rate of inactive analyte

$m_m$ = isolated mass

$m_t$ = mass of radioactive tracer