Assertion (A): When an ideal gas is compresse | vedclass

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

Question

(A) In an adiabatic compression,work is done on the gas,which increases its internal energy. Since the internal energy of an ideal gas is directly pro

Vedclass · Accepted Answer

$A$ and $R$ are true and $R$ is the correct explanation of $A$.

Vedclass · Answer

(A) In an adiabatic compression,work is done on the gas,which increases its internal energy. Since the internal energy of an ideal gas is directly proportional to its absolute temperature $(U \propto T)$,the temperature of the gas increases.According to the kinetic theory of gases,the average kinetic energy of gas molecules is given by $K_{avg} = \frac{3}{2} k_B T$. As the temperature $T$ increases,the average kinetic energy also increases.This increase in kinetic energy occurs because,during compression,the molecules collide with the moving piston (wall). When a molecule hits a wall moving towards it,the molecule gains speed (and thus kinetic energy) due to the elastic collision,similar to a ball bouncing off a moving bat. Therefore,both the assertion and the reason are true,and the reason correctly explains the assertion.

Assertion $(A)$: When an ideal gas is compressed adiabatically,its temperature and the average kinetic energy of the gas molecules increase.
Reason $(R)$: The kinetic energy increases because of collisions of molecules with the moving parts of the wall.

Similar Questions

$A$ diatomic gas of volume $2 \ m^3$ at pressure $2 \times 10^5 \ N \ m^{-2}$ is compressed adiabatically to a volume $0.5 \ m^3$. The work done in this process is,$[$Use $4^{1.4} = 6.96]$

At $N.T.P.$,one mole of a diatomic gas is compressed adiabatically to half of its volume. Given $\gamma = 1.41$,the work done on the gas will be approximately ....... $J$.

One mole of an ideal gas with $\gamma = 1.4$ is adiabatically compressed so that its temperature rises from $27^{\circ}C$ to $35^{\circ}C$. The change in the internal energy of the gas is ....... $J$ $(R = 8.3 \, J/mol \cdot K)$.

$A$ gas at $NTP$ is suddenly compressed to one-fourth of its original volume. If $\gamma$ is supposed to be $\frac{3}{2}$,then the final pressure is........ atmosphere.

If during an adiabatic process the pressure of a mixture of gases is found to be proportional to the square of its absolute temperature,the ratio of $C_p / C_v$ for the mixture of gases is .........

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion $(A)$: When an ideal gas is compressed adiabatically,its temperature and the average kinetic energy of the gas molecules increase.Reason $(R)$: The kinetic energy increases because of collisions of molecules with the moving parts of the wall.