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    3.

    One mole of an ideal gas expands adiabatically from an initial temperature T1{T_1}to a final temperature T2{T_2}.The work done by the gas would be

    A

    (CpCv)(T1T2)\left( {{C_p} - {C_v}} \right)\left( {{T_1} - {T_2}} \right)

    B

    Cp(T1T2){C_p}\left( {{T_1} - {T_2}} \right)

    C

    Cv(T1T2){C_v}\left( {{T_1} - {T_2}} \right)

    D

    (CpCv)(T1+T2)\left( {{C_p} - {C_v}} \right)\left( {{T_1} + {T_2}} \right)

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    5.

    A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is gain reduced to half. Then:

    A

    Compressing the gas isothermally will require more work to be done.

    B

    Compressing the gas through adiabatic process will require more work to be done.

    C

    Compressing the gas isothermally or adiabatically will require the same amount of work.

    D

    Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.

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    9.

    A gas expands under constant pressure P from volume V1{V_1} to V2{V_2}. The work done by the gas is

    A

    P(V2V1)P\left( {{V_2} - {V_1}} \right)

    B

    P(V1V2)P\left( {{V_1} - {V_2}} \right)

    C

    P(V1γV2γ)P\left( {V_1^\gamma - V_2^\gamma } \right)

    D

    PV1V2V2V1P\frac{{{V_1}{V_2}}}{{{V_2} - {V_1}}}

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    10.

    An ideal gas undergoes a cyclic process as shown in the PVP-V diagram. The work done by the gas in the complete cycle is:

    A

    (V2V1)(P2P1)(V_2 - V_1)(P_2 - P_1)

    B

    12(V2V1)(P2P1)\frac{1}{2}(V_2 - V_1)(P_2 - P_1)

    C

    12(V2+V1)(P2+P1)\frac{1}{2}(V_2 + V_1)(P_2 + P_1)

    D

    (V2+V1)(P2+P1)(V_2 + V_1)(P_2 + P_1)

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