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A gas expands against a variable pressur...

A gas expands against a variable pressure given by `P = (20)/(V)` (where P in atm and V in L). During expansion from volume of 1 litre to 10 litre, the gas undergoes a change in internal energy of 400 J. How much heat is absorbed by the gas during expansion?

A

46 J

B

4660 J

C

5066 J

D

4260 J

Text Solution

Verified by Experts

The correct Answer is:
C
`intdw=int-P.dV`
`"implies "w=-int20.(dV)/(V)=-20ln.(V_(2))/(V_(1))`
`w=-46.06 " L-atm"=-4665.8 J`
`DeltaU=q+wimplies400=q-4665.8`
`q = 5065.8 J`
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Knowledge Check

  • The work done in ergs for a reversible expansion of one mole of an ideal gas from a volume of 10 litre to 20 litre at 25^(@)C is:

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