Question

In a diagnostic test for leukemia, a person receives$4.0\mathrm{mL}$ of a solution containing selenium-$75$. If the activity of the selenium-$75$ is $45\mu \mathrm{Ci}/\mathrm{ml}$. what dose, in microcuries, does the patient receive?

Short answer

The patient receives $180\mu \mathrm{ci}$dose in microcuries.

Step-by-step solution

Introduction

Selenium is a chemical element with the symbol Se and the atomic number $34$.It's a nonmetal (also known as a metalloid) with properties that fall between between sulphur and tellurium on the periodic table, as well as similarities to arsenic.

Explanation

Step 1: given exercise ${}^{75}\mathrm{Se}=45\mu \mathrm{ci}/\mathrm{ml}$

solution with$57\mathrm{Se}=4.0\mathrm{ml}$

Dosage is necessary.

Step 2 plan

localid="1652259659206" $mlactivityfactordose$

Explanation

Step 3 Factors of conversion/equalities

$45\mu \mathrm{ci}=\mathrm{Iml}$

$\frac{45\mu \mathrm{ci}}{1\mathrm{ml}}and\frac{1\mathrm{ml}}{45\mu \mathrm{ci}}$

Step 4 Establish the issue

$4.0\cancel{ml}\times \frac{45\mu \mathrm{ci}}{1\cancel{\mathrm{ml}}}=180\mu ci$