Chapter 5, Problem 90QAP

Interpretation Introduction

Interpretation:

The distance at which the ring from the end at the ammonia was introduced needs to be determined.

Concept introduction:

Gas density is known as the ratio of mass of the gas and the volume occupied by that gas. The formula is as below:

$\begin{array}{l}\text{d = }\frac{\text{m}}{\text{v}}\\ \text{ = }\frac{\left(\text{MM}\right)\text{P}}{\text{RT}}\end{array}$

Here, MM is the molar mass of the gas, V is the volume of gas, P is pressure of gas, T is temperature and R is the universal gas constant.

The kinetic model of gases is accounted for ideal gas behavior. The formula of average translational energy of gas is as below:

${\text{E}}_{\text{t}}\text{=}\frac{\text{3RT}}{{\text{2N}}_{\text{A}}}$

Here,

E_t = average translational energy of gas

T = temperature in Kelvin

R = Universal gas constant

N_A = Avogadro number

Effusion is known as the leakage of gas molecules from high to low pressure region via a pinhole. For any two gas molecules the formula to determine the time needed for effusion is as below:

$\frac{{\text{time}}_{\text{1}}}{{\text{time}}_{\text{2}}}\text{=}{\left(\frac{{\text{MM}}_{\text{1}}}{{\text{MM}}_{\text{2}}}\right)}^{\text{1/2}}$

Here, time₁ and time₂ is the time of effusion for gas1 and gas 2. MM₁ and MM₂ is the molar mass for gas1 and gas 2.