Chapter 13, Problem 30A

Interpretation Introduction

Interpretation:

The new pressure inside the container have to be calculated.

Concept Introduction:

The combined gas law can be expressed as-

  $\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

The equation is derived from the ideal gas law when amount of gas remains constant.

Initial pressure = P₁ Final pressure = P₂

Initial volume = V₁ Final volume = V₂

Initial temperature = T₁ Final temperature = T₂

Answer to Problem 30A

The new pressure of the gas inside the container is 1.396 atm.

Explanation of Solution

Data given: P₁ = 0.480 atm, V₁ = 5.50 L and T₁ = 22 °C = 295 K

V₂ = 2.00 L, T₂ = 39 °C = 312 K

  $\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

By putting all the values in the above equation, we can calculate P₂

  $\begin{array}{l}{P}_2=\frac{P_1{V}_1{T}_2}{V_2{T}_1}\\ =\frac{0.480atm\times 5.50L\times 312K}{2.00L\times 295K}\\ =1.396atm\end{array}$