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VMMC VMMC Medical Solved Paper-2011

  • question_answer
    40 cal of heat is required to raise the temperature of 2 mol of an ideal gas at constant pressure from \[30{}^\circ C\] to \[35{}^\circ C\]. The amount of heat required to raise the temperature of the same ample of the gas through the same range of temperature (\[30{}^\circ C\] to \[35{}^\circ C\]) at constant volume will be (gas constant = 2 cal/mol)

    A)  30 cal   

    B)                         50 cal                   

    C)  60 cal                   

    D)         80 cal

    Correct Answer: B

    Solution :

                            Heat at constant pressure \[{{Q}_{p}}=m{{C}_{p}}\Delta \theta \] Heat at constant volume \[{{Q}_{V}}=m{{C}_{V}}\Delta \theta \] \[{{Q}_{p}}={{Q}_{V}}=M({{C}_{p}}-{{C}_{V}})\Delta \theta \] \[70-{{Q}_{V}}=mR\Delta \theta \]


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