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One mole of an ideal monoatomic gas at t...

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:

A

`(T)/(2^(2//3))`

B

`T + (2)/(3 xx 0.0821)`

C

T

D

`T - (2)/(3 xx 0.0821)`

Text Solution

Verified by Experts

The correct Answer is:
D
Constant `P rArr` irreversibe
`Delta E= - P_("ext") Delta V`
`nC_(V) Delta T = -P_("ext") (V_(2) - V_(1))`
` 1 xx (3)/(2) R xx (T_(2) - T_(1)) = -1(2-1) = -1`
`T_(2) = T- (2)/(3R)`
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