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A piston filled with 0.04 mol of an idea...

A piston filled with `0.04` mol of an ideal gas expands reversibly from `50.0 mL` to `375 mL` at a constant temperature of `37.0^(@)C`. As it does so, it absorbs `208 J` of heat. The value of `q` and `w` for the process will be:
`(R=8.314J//molK)(ln 7.5=2.01)`

A

`q= + 208 J , w= + 208 J`

B

`q = + 208 J , w = - 208 J`

C

` q = - 208 J , w= - 208 J`

D

`q = - 208 J, w= +208 J`

Text Solution

Verified by Experts

The correct Answer is:
b
For isothermal expansion of an ideal gas, `DeltaU = 0`. Hence,from first law of thermodynamics, `DeltaU = q+w` , we have `q= -w` . As process involves adsorption of heat, i.e., it is endothermic `q= + 208 J :. W= - 208 J`
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