A cyclic process for 1 , text{mol} of an idea | vedclass

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

Question

(C) For $1 \, 	ext{mol}$ of an ideal gas,the work done is given by $W = \int P \, dV$.$1$. Process $AB$: The volume $V$ is constant $(V = V_1)$. This

Vedclass · Accepted Answer

$0, R{T_2}\ln \left( {\frac{{{V_2}}}{{{V_1}}}} \right), R({T_1} - {T_2})$

Vedclass · Answer

(C) For $1 \, 	ext{mol}$ of an ideal gas,the work done is given by $W = \int P \, dV$.$1$. Process $AB$: The volume $V$ is constant $(V = V_1)$. This is an isochoric process.Work done $W_{AB} = P \Delta V = 0$.$2$. Process $BC$: The temperature $T$ is constant $(T = T_2)$. This is an isothermal process.Work done $W_{BC} = \int_{V_1}^{V_2} P \, dV = \int_{V_1}^{V_2} \frac{RT_2}{V} \, dV = RT_2 \ln \left( \frac{V_2}{V_1} ight)$.$3$. Process $CA$: This is a process where the graph is a straight line passing through the origin in the $V-T$ diagram,implying $V \propto T$,which is an isobaric process.Work done $W_{CA} = P \Delta V = R \Delta T = R(T_1 - T_2)$.

$A$ cyclic process for $1 \, \text{mol}$ of an ideal gas is shown in the $V-T$ diagram. Find the work done in processes $AB$,$BC$,and $CA$ respectively.

Similar Questions

An ideal gas is taken through the cycle $A \rightarrow B \rightarrow C \rightarrow A$ as shown in the figure. If the net heat supplied to the gas in the cycle is $5 \,J$, the magnitude of work done during the process $C \rightarrow A$ is (in $\,J$)

An ideal gas is taken through a quasi-static process described by $P = \alpha V^2$,where $\alpha = 5 \text{ atm}/m^6$. The gas is expanded to twice its original volume of $1 \text{ m}^3$. How much work is done by the expanding gas in this process?

$3\, \text{moles}$ of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperatures in different states are: $T_1 = 400\, K$, $T_2 = 800\, K$, $T_3 = 2400\, K$ and $T_4 = 1200\, K$. The work done by the gas during the cycle is ...... $kJ$.

Which of the curves in the given $P-V$ diagram represents an adiabatic process and an isothermal process,respectively?

Vedclass Test Series

Exam Paper Generator

Online Exam Module