Chapter 5, Problem 88QAP

Interpretation Introduction

Interpretation:

The pressure of the gas at given temperature values needs to be determined. The calculated pressure needs to be compared with the vapor pressure of water at these temperatures and reason for the difference in the values needs to be explained.

Concept introduction:

According to the ideal gas law volume i.e. V, pressure i.e. P, number of moles i.e. n, temperature i.e. t and Universal gas constant i.e. R are interrelated as below:

$\text{PV = nRT}$

When at two different conditions gases are placed, then to determine the changed variable combined gas law is used. Below is the formula of combined gas law:

$\stackrel{\text{Gas 1}}{\overbrace{\frac{{\text{P}}_{\text{1}}{\text{V}}_{\text{1}}}{{\text{n}}_{\text{1}}{\text{T}}_{\text{1}}}}}\text{=}\stackrel{\text{Gas2}}{\overbrace{\frac{{\text{P}}_{\text{2}}{\text{V}}_{\text{2}}}{{\text{n}}_{\text{2}}{\text{T}}_{\text{2}}}}}$

Here:

• P₁ and P₂-The pressure of gases.
• V₁ and V₂- Volume of gases.
• n₁ and n_2- Number of moles.
• T₁ and T₂- The temperature of gases.

For same number of moles and volume of the solution:

$\stackrel{\text{Gas 1}}{\overbrace{\frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}}}\text{=}\stackrel{\text{Gas2}}{\overbrace{\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}}}$