A cyclic process ABCA is shown in the T-V dia | vedclass

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

Question

(D) For a cyclic process $ABCA$, the change in internal energy $\Delta U = 0$.According to the first law of thermodynamics, $\Delta Q = \Delta W$.Give

Vedclass · Accepted Answer

$-6200$

Vedclass · Answer

(D) For a cyclic process $ABCA$, the change in internal energy $\Delta U = 0$.According to the first law of thermodynamics, $\Delta Q = \Delta W$.Given that heat is rejected, $\Delta Q = -1200 	ext{ J}$.Thus, $\Delta W_{AB} + \Delta W_{BC} + \Delta W_{CA} = -1200 	ext{ J}$.Process $AB$ is a straight line passing through the origin, so $T \propto V$, which means it is an isobaric process. However, work done in a $T-V$ diagram for a straight line through the origin is $W = nR\Delta T$.For process $AB$: $W_{AB} = nR(T_B - T_A) = 2 	imes 8.314 	imes (600 - 300) = 2 	imes 8.314 	imes 300 = 4988.4 	ext{ J}$.Process $CA$ is a vertical line, so it is an isochoric process, meaning $\Delta W_{CA} = 0$.Substituting these into the equation: $4988.4 + \Delta W_{BC} + 0 = -1200$.$\Delta W_{BC} = -1200 - 4988.4 = -6188.4 	ext{ J}$.Rounding to the nearest option, we get $-6200 	ext{ J}$.

$A$ cyclic process $ABCA$ is shown in the $T-V$ diagram. An ideal gas of $2 \text{ mole}$ undergoes this process. $A$ total of $1200 \text{ J}$ of heat is rejected by the gas in the complete cycle. Find the work done by the gas during the process $BC$. (in $\text{ J}$)

Similar Questions

In a cyclic process $A \rightarrow B \rightarrow C \rightarrow A$,the heat given to the gas is $5 \ J$. The work done during the process $C \rightarrow A$ is ............ $J$.

The given diagram shows four processes,i.e.,isochoric,isobaric,isothermal,and adiabatic. The correct assignment of the processes,in the same order,is given by

The $P-V$ graph of an ideal gas cycle is shown below. The adiabatic processes are described by:

The $P-V$ diagrams for a particular gas undergoing different thermodynamic processes are given below. Identify the correct statement.

For one complete cycle of a thermodynamic process on a gas as shown in the $P-V$ diagram,which of the following is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module