Home
Class 12
PHYSICS
One mole of an ideal gas at temperature ...

One mole of an ideal gas at temperature `T_(1)` expands according to the law (P/V) = constant. Find the work done when the final temperature becomes `T_(2)`.

A

`R(T_(2) - T_(1))`

B

`(R//2)(T_(2) - T_(1))`

C

`(R//4)(T_(2) - T_(1))`

D

`PV(T_(2) - T_(1))`

Text Solution

Verified by Experts

The correct Answer is:
b
Work done,
`W = underset(V_(1))overset(V_(2))int PdV = underset(V_(1))overset(V_(2))int KVdV (.:. P/V = K = "constant")`
` :. W = 1/2 K(V_(2)^(2) - V_(1)^(2))`
As we know, in case of an ideal gas,
`PV = RT . " But " P = KV` ,
` :. KV^(2) = RT " or " K(V_(2)^(2) - V_(1)^(2)) = R (T_(2) - T_(1))`
` :. W = R/2 (T_(2) - T_(1))`
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

One mole of an ideal gas at temperature T_(1) expends according to the law (P)/(V^(2))=a (constant). The work done by the gas till tempereature of gas becomes T_(2) is

One mole of an ideal monoatomic gas at temperature T_(0) expands slowely according to the law P/V=constant. If the final temperature is 2T_(0) heat supplied to the gas is -

One mole of an ideal gas at temperature T_ expands slowly according to the law p/V= constant. Its final temperature is T_2 . The work done by the gas is

One mole of an ideal monoatomic gas at temperature T_0 expands slowly according to the law p/V = constant. If the final temperature is 2T_0 , heat supplied to the gas is

One mole of an ideal monatomic gas at temperature T_0 expands slowly according to the law P = kV (k is constant). If the final temperature is 4T_0 then heat supplied to gas is

[" One mole of an ideal gas at a "],[" temperature "T_(1)" K expands slowly "],[" according to the law "(p)/(V)" is "],[" constant.Its final temperature is "],[T_(2)K" .The work done by the gas "],[" is "]

An ideal gas expands according to the law P^(2) V = constant . The internal energy of the gas