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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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Knowledge Check

  • A piston fielld with 0.04 mole of an ideal gas expands eversible from 50.0mL at a constant temperature of 37.0^(@)C . As it does so, it absorbe 208J of heat. The value of q and W for the process will be (R=8.314J//molK , 1n7.5=2.01)

    A
    `q=+208J,W=-208J`
    B
    `q=-208J,W=-208J`
    C
    `q=-208J,W=+208J`
    D
    `q=+208J,W=+208J`

  • A piston filled with 0.04 "mole" of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37^(@)C . As it does so it absorbs 208 J of heat. The value of q and W for the process will be (R=8.314 J//"mol" K, In 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

  • 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`

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    A piston filled with 0.04 mol of an ideal gas expands eversibly 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 values of q and w for the process will be (R=8.314 J//mol K) (ln 7.5 = 2.01)

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