Chapter 5, Problem 83QAP

Interpretation Introduction

(a)

Interpretation:

The temperature in both the tanks needs to be compared if tank A has 2 mol of methane and tank B has 2 mol of neon gas.

Concept introduction:

According to the ideal gas law volume i.e. V, pressure i.e. P, number of moles i.e. m, 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 P_2- pressure of gases.
• V₁ and V₂ and volume of gases.
• n₁ and n₂ number of moles.
• T₁ and T₂ - The temperature of gases.

Moles are known as the ratio of mass and molar mass. Below is the formula:

$\text{n = }\frac{\text{m}}{\text{MM}}$

Here, MM is molar mass and m is the mass.

Interpretation Introduction

(b)

Interpretation:

The temperature in both the tanks needs to be compared, if tank A has 2 g of methane and tank B has 2 g of neon gas.

Concept introduction:

According to the ideal gas law volume i.e. V, pressure i.e. P, number of moles i.e. m, 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 are the pressure of gases
• V₁ and V₂ and volume of gases
• n₁ and n₂ number of moles
• T₁ and T₂ are the temperature of gases

Moles are known as the ratio of mass and molar mass. Below is the formula:

$\text{n = }\frac{\text{m}}{\text{MM}}$

Here, MM is molar mass and m is the mass.