Home
Class 12
CHEMISTRY
An ideal gas in a thermally insulated ve...

An ideal gas in a thermally insulated vessel at internal pressure `=P_(1)`, volume `=V_(1)` and absolute temperature `=T_(1)` expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are `P_(2), V_(2)` and `T_(2)` respectively. For this expansion.

A

`q=0`

B

`T_(2)=T_(1)`

C

`P_(2)V_(2)=P_(t)V_(1)`

D

`P_(2)V_(2)^(gamma)=P_(1)V_(1)^(gamma)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Since the vessel is thermally insulated so
`q=0`
`p_(ext)=0`, so `w=0`
so `Delta U=0` (ideal gas)
Hence `Delta T=0`
`rArr Delta T=0 " "rArrT_(2)=T_(1) " "rArrP_(2)V_(2)=P_(1)V_(1)`
The process is however adiabatic irriversible.
So we cannot applly `P_(2)V_(2)^(gamma)=P_(1)V_(1)`
Hence ans is `(A),(B),(C )`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    RESONANCE|Exercise Main|5 Videos

  • THERMODYNAMICS

    RESONANCE|Exercise Exercise-1 Part-I Subjective question|30 Videos

  • THERMODYNAMICS

    RESONANCE|Exercise Exercise-2 part -IV : Comprehension|11 Videos

  • TEST SERIES

    RESONANCE|Exercise CHEMISTRY|50 Videos

Similar Questions

Explore conceptually related problems

An ideal gas in thermally insulated vessel at internal (pressure)=P_(1), (volume)=V_(1) and absolute temperature = T_(1) expands irreversiby against zero external, pressure , as shown in the diagram, The final internal pressure, volume and absolute temperature of the gas are p_(2), V_(2) and T_(2) , respectively . For this expansion

Two containers of equal volume contain the same gas at pressure P_(1) and P_(2) and absolute temperature T_(1) and T_(2) , respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T . The ratio P//T is equal to

A gas enclosed in a vessel has pressure P, volume V and absolute temperature T, write the formula for number of molecule N of the gas.

Two identical vessels contain the same gas at pressure P_(1) and P_(2) at absolute temperature T_(1) and T_(2) , respectively. On joining the vessels with a small tube as shown in the figure. The gas reaches a common temperature T and a common pressure P. Determine the ratio P//T

A gas at constant pressure P_1, volume V_1 and temperture T_1 is suddenly compressed to V_1/2 and then slowly expanded to V_1 again.Find the final temperature and pressure.

One mole of an ideal monoatomic gas at temperature T and volume 1L expands to 2L against a constant external pressure of one atm under adiabatic conditions, then final temperature of gas will be: