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Suppose 0.5 moles of an ideal gas underg...

Suppose `0.5` moles of an ideal gas undergoes an isothermal expansion as energy is added to it as heat Q. graph shows the final volume `V_(f)` versus Q. the temperature of the gas is `(use In 3 = 1 and R = (25)/(3) J//mol-K)`

A

`293K`

B

`360K`

C

`386K`

D

`412K`

Text Solution

Verified by Experts

The correct Answer is:
B
` Q = W = nRT ln"(V_(f))/(V_(t))`
`T = (Q)/(nRlnV_(f)//V_(t)) = (1500)/(0.5 xx 25//3 xx ln3)`
=`(1500)/(0.5 xx 25//3 xx1) = 360K`
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