Question

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

• A. $\frac{5}{9}$bar
• B. $45.0$ bar
• C. $15.0$ bar
• D. $30.0$ bar

Answer 1

The correct option is B $45.0$ bar

From ideal gas equation,
$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$P_1$= 5 bar, $P_2$= ? $V_2=\frac{V_1}{3}$, $T_1$= 273K, $T_2$= 819K

$\frac{5\times V_1}{273}$=$\frac{P_2{V}_2}{3\times 819}$ = 45 bar

Final pressure = 45 bar.