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A piston filled with 0.04 mole of an ide...

A piston filled with `0.04` mole of an ideal gas expands reversible from `50.0mL` at a constant temperature of `37.0^(@)C` . As it does so, it absorbs `208J` of heat. The value of `q` and `W` for the process will be `(R=8.314J//molK` , `1n7.5=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:
A
According to the first law fo thermodynamics
`Delta U = q + w`
For isothermal reversible expansion of an ideal gas,
`Delta U = 0`
`:.q + w = 0`
Or `q = - w`
Since the system absorbs `208 J` of heat, we have
`q = + 208 J`
and `w = - 208 J`
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