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With same initial conditions , an ideal gas expands from volume `V_(1)" to "V_(2)` in three different ways . The work done by the gas is `W_(1)` if the process is isothermal , `W_(2)` if isobaric and `W_(3)` if adiabatic , then

A

`W_(2)gtW_(1)gtW_(3)`

B

`W_(2)gtW_(3)gtW_(1)`

C

`W_(1)gtW_(2)gtW_(3)`

D

`W_(1)gtW_(3)gtW_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

Here for isobaric process , work done is largest , next for isothermal and then for adiabatic process,
`W_(2)gtW_(1)gtW_(3)`
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Knowledge Check

  • Starting with the same initial condition, an ideal gas expands from volume V_(1)" to "V_(2) in three different ways. The work done by the gas is W_(1) if the process is isothermal W_(2) if isobaric and W_(1) if adibatic, then :

    A
    `W_(2) gt W_(1) gt W_(3)`
    B
    `W_(2) gt W_(3) gt W_(1)`
    C
    `W_(1) gt W_(2) gt W_(3)`
    D
    `W_(1) gt W_(3) gt W_(2)`
  • Starting with the same initial conditions, an ideal gas expands from volume V_(1) to V_(2) in three different ways. The work done by the gas is W_(1) if the process is purely isothermal, W_(2) if purely isobaric and W_(3) is purely adiabatic. Then

    A
    `W_(2) gt W_(1) gt W_(3)`
    B
    `W_(3) gt W_(1) gt W_(1)`
    C
    `W_(1) gt W_(2) gt W_(3)`
    D
    `W_(1) gt W_(3) gt W_(2)`
  • Starting with the same initial conditions, an ideal gas expands from volume V_1 to V_2 in three different ways, the work done by the gas is W_1 if the process is purely isothermal, W_2 if purely isobaric and W_3 if purely adiabatic, then

    A
    (a) `W_2 gt W_1 gt W_3`
    B
    (b) `W_2 gt W_3 gt W_1`
    C
    (c) `W_1 gt W_2 gt W_3`
    D
    (d) `W_1gt W_3gtW_2`
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