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At 27^@C two moles of an ideal monatomic...

At `27^@C` two moles of an ideal monatomic gas occupy a volume V. The gas expands adiabatically to a volume `2V`. Calculate
(a) final temperature of the gas
(b) change in its internal energy and
(c) the work done by the gas during the process. [ `R=8.31J//mol-K`]

A

179 K

B

189 K

C

213 K

D

219 K

Text Solution

Verified by Experts

The correct Answer is:
B
In an adiabatic change `T_2V_2^(gamma-1) = T_1V_1^(gamma-1)`
or `T_2=T_1(V_1/V_2)^(gamma-1)`
`T_2=300(V/(2V))^(5/3-1)=300(0.5)^(3//2)`
`T_2=189.03K.`
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