Chapter 5, Problem 102E

Interpretation Introduction

Interpretation:

The ratio of ${}^{235}\text{U}$ to ${}^{\text{238}}\text{U}$ atoms in original sample of uranium should be calculated.

Concept Introduction:

The process which refers to the movement of gaseous molecules through a small hole with velocity u is known as effusion. Rate of effusion is defined as the rate at which the gaseous molecules effuse out.

Thus, the expression is given as:

Rate of effusion $\propto \sqrt{\frac{1}{M}}$

The expression for mole fraction:

  $X_A=\frac{n_A}{n_{Total}}$

Where, $X_A$ = Mole fraction of gas A

  $n_A$ = number of moles of gas A

  $n_{Total}$ = Total number of moles