A fixed amount of a gas undergoes a thermodyn | vedclass

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

Question

(B) For a cyclic process $ABCA$,the change in internal energy is $\Delta U_{ABCA} = 0$.From the first law of thermodynamics,$Q_{ABCA} = W_{ABCA}$.This

Vedclass · Accepted Answer

can only be adiabatic

Vedclass · Answer

(B) For a cyclic process $ABCA$,the change in internal energy is $\Delta U_{ABCA} = 0$.From the first law of thermodynamics,$Q_{ABCA} = W_{ABCA}$.This can be written as: $Q_{A 	o B} + Q_{B 	o C} + Q_{C 	o A} = W_{A 	o B} + W_{B 	o C} + W_{C 	o A} \quad (1)$.Given that the heat interaction along path $B 	o C 	o A$ is equal to the work done along path $A 	o B 	o C$,we have:$Q_{B 	o C} + Q_{C 	o A} = W_{A 	o B} + W_{B 	o C} \quad (2)$.Subtracting equation $(2)$ from equation $(1)$:$Q_{A 	o B} = W_{C 	o A}$.From the $P-V$ diagram,the process $C 	o A$ is an isochoric process (constant volume),so the work done $W_{C 	o A} = 0$.Therefore,$Q_{A 	o B} = 0$.$A$ process in which the heat interaction is zero is an adiabatic process. Thus,the process $A 	o B$ is adiabatic.

$A$ fixed amount of a gas undergoes a thermodynamic process as shown in the figure,such that the heat interaction along path $B \to C \to A$ is equal to the work done by the gas along path $A \to B \to C$. Then the process $A \to B$ is:

Similar Questions

For an adiabatic expansion of an ideal gas,the fractional change in its pressure is equal to (where $\gamma$ is the ratio of specific heats):

$A$ tyre pumped to a pressure of $2 \text{ atm}$ suddenly bursts. If the temperature of air before expansion is $T$, then the air temperature after the tyre bursts is (Assume the expansion is adiabatic and adiabatic constant $\gamma = \frac{3}{2}$).

$A$ gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \, V$. Then,

$A$ mixture of gases at $STP$ for which $\gamma = 1.5$ is suddenly compressed to $\frac{1}{9}$th of its original volume. The final temperature of the mixture is .......... $^{\circ}C$.

An ideal gas at $27^{\circ} C$ is compressed adiabatically to $8/27$ of its original volume. If $\gamma = 5/3$,the rise in temperature of the gas is: (in $K$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module