Question

A gas at a pressure of 5.0 bar is heated from $0^{\circ }\text{C}$ to ${546}^{\circ }\text{C}$ and simultaneously compressed to one-thirds of its original volume. Hence, the final pressure is:

• A. 45.0 bar
• B. 15.0 bar
• C. 30.0 bar
• D. 5/9 bar

Answer 1

The correct option is A 45.0 bar

Ideal gas equation,
$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$
$P_1=5\text{bar},P_2=?$
$V_1=V_1,V_2=\frac{V_1}{3}$
$T_1=273\text{K},T_2=819\text{K}$

$\frac{5\times V_1}{273}=\frac{P_2\times V_1}{3\times 819}$
Final pressure $P_2=45$ bar