An ideal gas exists in a state with pressure P₀, volume V₀. It is isothermally expanded to 4 times of its init…

Question

An ideal gas exists in a state with pressure $P_0$ , volume $V_0$ . It is isothermally expanded to $4$ times of its initial volume $\left(V_0\right)$ , then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is :

A
$P_0 V_0 \left(2 \ln 2 - 0.75\right)$
B
$P_0 V_0 \left(\ln 2 - 0.75\right)$
C
$P_0 V_0 \left(\ln 2 - 0.25\right)$
D
$P_0 V_0 \left(2 \ln 2 - 0.25\right)$

Accepted Answer

A. $$P_0 V_0 \left(2 \ln 2 - 0.75\right)$$

Answer

B. $$P_0 V_0 \left(\ln 2 - 0.75\right)$$

Answer

C. $$P_0 V_0 \left(\ln 2 - 0.25\right)$$

Answer

D. $$P_0 V_0 \left(2 \ln 2 - 0.25\right)$$

Answer & step-by-step solution

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