Home
Class 12
PHYSICS
Two different ideal diatomic gases A and...

Two different ideal diatomic gases `A` and `B` are initially in the same state. `A` and `B` are then expanded to same final volume through adiabatic and isothermal process respectively. If `P_(A), P_(B)` and `T_(A), T_(B)` represents the final pressure and temperature of `A` and `B` respectively then.

A

`P_(A) lt P_(B) " and " T_(A) lt T_(B)`

B

`P_(A) gt P_(B) " and " T_(A) gt T_(B)`

C

`P_(A) gt P_(B) " and " T_(A) lt T_(B)`

D

`P_(A) lt P_(B) " and " T_(A) gt T_(B)`

Text Solution

Verified by Experts

The correct Answer is:
a
For an adiabatic process, `PV_(1)^(gamma) = P_(A)V_(2)^(gamma)`
`P_(A) = P(V_(1)/V_(2))^(gamma)` …(i)
For isothermal process, `PV_(1) = P_(B)V_(2)`
`rArr P_(B) = P V_(1)/V_(2)` ….(ii)
From (i) and (ii) , `P_(A) lt P_(B)`
and by `PV = nRT`, we get, `T_(A) lt P_(B)`.
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    MTG-WBJEE|Exercise WB JEE WORKOUT ( CATEGORY 2 : Single Option Correct Type (2 Mark )|15 Videos

  • THERMODYNAMICS

    MTG-WBJEE|Exercise WB JEE WORKOUT ( CATEGORY 3 : One or Mare than One Option Correct Type (2 Mark )|10 Videos

  • SOLID STATE ELECTRONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 1 : Single Option Correct Type)|15 Videos

  • WAVE OPTICS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTION (MCQ.s)|9 Videos

Similar Questions

Explore conceptually related problems

Two gases have the same initial pressure, volume and temperature. They expand to the same final volume, one adiabatically and the other isothermally

Two samples A and B are initaially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same . The final pressures in A and B are p_A and P_B respectively.

Let T_a and T_b be the final temperatures of the samples A and B respectively in the previous question.

Two samples 1 and 2 are initially kept in the same state. The sample 1 is expanded through an isothermal process where as sample 2 through an adiabatic process upto the same final volume. The final temperature in process 1 and 2 are T_(1) and T_(2) respectively, then

Two identical samples of gases are allowed to expand to the same final volume (i) isothermally (ii) adiabatically. Work done is

Two samples A and B of a gas are initially at the same temperature and pressure are compressed from volume V_1 to V/2 (A isothermally and B adiabatically). The final pressure is

Two samples A and B are initially kept in the same state. The sample B through an isothermal process. The final volumes of the samples are the same (a) Compare final temperatures, final pressures and work doen in A and B. (b) Repeat the part (i), If samples are compressed to same final volume.