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If 1.5 L of an ideal gas at a pressure o...

If 1.5 L of an ideal gas at a pressure of 20 atm expands isothermally and reversibly to a final volume of 15 L the work done by the gas in L atm is

A

69.09

B

34.55

C

-34.55

D

-69.09

Text Solution

Verified by Experts

The correct Answer is:
D
Given `P_(1)=20` atm
`V_(1)=1.5 L`
`V_(2)= 15L`
At constant temperature
`P_(1)V_(1)= P_(2)V_(2)` = nRT
`:. W = - nRT "in" (V_(2)/(V_(1)))`
`=-2.303 xx20xx1.5xx log((15)/(1.5)) `
`=- 69.09 L` atm
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