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Two litre of dry air at STP expands adia...

Two litre of dry air at STP expands adiabatically to volume of 4 litres. If `gamma 1.40` . The work done by air is (Take air to be an ideal gas ) `(2^(1.4) =2.64)` .

A

80J

B

200J

C

324J

D

364J

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(1)=1` atm `T_(1)=273 K`
`P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)`
`P_(2)=P_(1)((V_(1))/(V_(2)))^(gamma)=P/(2^(gamma))=(1"atm")/(2^(1.4))=(1 atm)/2.64`
Now work done `=(P_(1)V_(1)-P_(2)V_(2))/(gamma-1)~~324J`
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