Question

A thermodynamic process o f one mole ideal gas is shown in the figure. The efficiency of cyclic process $ABCA$ will be

• A. $25\%$
• B. $12.5\%$
• C. $50\%$
• D. $7.7\%$

Answer 1

Answer: (D)

$W=\frac{1}{2}{P}_0{V}_0,T_A=T_0,T_B=2T_0,T_C=4T_0$
Heat supplied $Q_{AB}+Q_{BC}=C_V{T}_0+C_{P}2T_0$
$=\frac{13}{2}R{T}_0=\frac{13}{2}{P}_0{V}_0$
$\therefore$ Efficiency of the cyclic process
$=\frac{\frac{1}{2}{P}_0{V}_0}{\frac{13}{2}{P}_0{V}_0}\times 100$
$=\frac{1}{3}\times 100=7.7\%$