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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

200 J

C

124 J

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^(gamm) = (1 atm)/( 2^(1.4)) = (1 atm)/(2.64)`
Now work done `=(P_(1)V_(1)-P_(2)V_(2))/(gamma -1) ~~ 124 J`
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