Question

A gas at a pressure of 5.0 bar is heated from $0^{\circ }C$ to ${546}^{\circ }C$ and is simultaneously compressed to one third 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

From ideal gas equation,
$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}{P}_1=5bar,P_2=?,V_1=V_1,V_2=\frac{V_1}{3},T_1=273K,T_2=819K\frac{5\times V_1}{273}=\frac{P_2{V}_1}{3\times 819}$
Final pressure, $P_2=45$ bar