2. Sample Papers
  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main - Mock Test - 13

  • question_answer
    Ideal gas undergoes an adiabatic change in its state from \[({{P}_{1}},{{V}_{1}},{{T}_{1}})\] to\[({{P}_{2}},{{V}_{2}},{{T}_{2}})\]. The work done (W) in the process is (\[\mu \]= number of moles, \[{{C}_{P}}\] and \[{{C}_{V}}\] are molar specific heats of gas)

    A) \[W=\mu ({{T}_{1}}-{{T}_{2}}){{C}_{P}}\]

    B) \[W=\mu ({{T}_{1}}-{{T}_{2}}){{C}_{V}}\]

    C) \[W=\mu ({{T}_{1}}+{{T}_{2}}){{C}_{P}}\]  

    D) \[W=\mu ({{T}_{1}}+{{T}_{2}}){{C}_{V}}\]

    Correct Answer: B

    Solution :

    Work done during an adiabatic change is, \[W=\frac{\mu R({{T}_{1}}-{{T}_{2}})}{\gamma -1}\] \[\gamma =\frac{{{C}_{P}}}{{{C}_{\text{v}}}}\] \[\therefore \,\,\gamma =1=\frac{{{C}_{P}}-{{C}_{\text{v}}}}{{{C}_{\text{v}}}}=\frac{R}{{{C}_{\text{v}}}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner