The P-V diagram shown represents the thermody | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a monatomic gas, the molar heat capacities are $C_V = \frac{3}{2}R$ and $C_P = \frac{5}{2}R$.Heat is absorbed by the system during processes $

Vedclass · Accepted Answer

$\frac{13}{2}P_0V_0$

Vedclass · Answer

(C) For a monatomic gas, the molar heat capacities are $C_V = \frac{3}{2}R$ and $C_P = \frac{5}{2}R$.Heat is absorbed by the system during processes $DA$ (isochoric) and $AB$ (isobaric).Process $DA$ (isochoric, $V = V_0$): $\Delta T_{DA} = \frac{P_A V_0}{nR} - \frac{P_D V_0}{nR} = \frac{(2P_0 - P_0)V_0}{nR} = \frac{P_0V_0}{nR}$.$Q_{DA} = n C_V \Delta T_{DA} = n \left(\frac{3}{2}R\right) \left(\frac{P_0V_0}{nR}\right) = \frac{3}{2}P_0V_0$.Process $AB$ (isobaric, $P = 2P_0$): $\Delta T_{AB} = \frac{2P_0 V_B}{nR} - \frac{2P_0 V_A}{nR} = \frac{2P_0(2V_0 - V_0)}{nR} = \frac{2P_0V_0}{nR}$.$Q_{AB} = n C_P \Delta T_{AB} = n \left(\frac{5}{2}R\right) \left(\frac{2P_0V_0}{nR}\right) = 5P_0V_0$.Total heat extracted $Q_{in} = Q_{DA} + Q_{AB} = \frac{3}{2}P_0V_0 + 5P_0V_0 = \frac{13}{2}P_0V_0$.

Column $I$	Column $II$
$(A)$ Process $A \rightarrow B$	$(p)$ Internal energy decreases.
$(B)$ Process $B \rightarrow C$	$(q)$ Internal energy increases.
$(C)$ Process $C \rightarrow D$	$(r)$ Heat is lost.
$(D)$ Process $D \rightarrow A$	$(s)$ Heat is gained.
	$(t)$ Work is done on the gas.

The $P-V$ diagram shown represents the thermodynamic cycle of an engine operating with an ideal monatomic gas. The amount of heat extracted from the source in a single cycle is:

Similar Questions

In thermodynamic processes, which of the following statements is not true?

When heat $Q$ is supplied to a monoatomic gas at constant pressure,the work done by the gas is:

An ideal monoatomic gas expands to twice its volume. If the process is isothermal,the magnitude of work done by the gas is $W_i$. If the process is adiabatic,the magnitude of work done by the gas is $W_a$. Which of the following is true?

One mole of an ideal monoatomic gas undergoes the process $A \rightarrow B \rightarrow C \rightarrow D \rightarrow A$ as shown in the graph. The work done during the process is

Vedclass Test Series

Exam Paper Generator

Online Exam Module