Six moles of an ideal gas perform the cycle s | vedclass

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

Question

(C) In a $P-T$ diagram, lines passing through the origin represent isochoric processes (constant volume, $V = 	ext{constant}$).From the figure, proce

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) In a $P-T$ diagram, lines passing through the origin represent isochoric processes (constant volume, $V = 	ext{constant}$).From the figure, processes $A ightarrow B$ and $C ightarrow D$ are isochoric because they lie on lines passing through the origin.For isochoric processes, the work done $W = \int P \, dV = 0$.Thus, $W_{AB} = 0$ and $W_{CD} = 0$.Processes $B ightarrow C$ and $D ightarrow A$ are isobaric (constant pressure, $P = 	ext{constant}$).For an isobaric process, the work done is $W = P \Delta V = \mu R \Delta T$.The total work done per cycle is $W = W_{AB} + W_{BC} + W_{CD} + W_{DA}$.$W = 0 + \mu R(T_C - T_B) + 0 + \mu R(T_A - T_D)$.$W = \mu R(T_C - T_B + T_A - T_D)$.Given $\mu = 6 \, 	ext{moles}$ and $R = \frac{25}{3} \, J/(mol \cdot K)$.$W = 6 	imes \frac{25}{3} 	imes (2200 - 800 + 600 - 1200)$.$W = 2 	imes 25 	imes (1400 - 600) = 50 	imes 800 = 40000 \, J = 40 \, kJ$.

Six moles of an ideal gas perform the cycle shown in the figure. If the temperatures are $T_A = 600 \, K$, $T_B = 800 \, K$, $T_C = 2200 \, K$, and $T_D = 1200 \, K$, the work done per cycle is ........ $kJ$.

Similar Questions

The graph shows a $P-V$ diagram where $A-B$ is an adiabatic curve. Choose the correct statement regarding the processes $AC$ and $BC$.

Calculate the heat given to the gas during the cyclic process $ABA$ shown in the figure (in $J$).

What is the total work done in a cyclic process?

The magnitude of heat exchanged by a system for the given cyclic process $ABCA$ (as shown in the figure) is (in $SI$ units).

An ideal gas undergoes a cyclic process $ABCDA$ as shown in the given $p-V$ diagram. What is the magnitude of the amount of work done by the gas?

Vedclass Test Series

Exam Paper Generator

Online Exam Module