JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Self Evaluation Test - Kinetic Theory

  • question_answer
    The value of \[{{C}_{p}}-{{C}_{v}}\] is 1.00R for a gas sample in state A and is 1.06R in state B. Let \[{{P}_{A}},{{P}_{B}}\] denote the pressure and \[{{T}_{A}},{{T}_{B}}\] denote the temperature of the states A and B respectively. Then most likely

    A) \[{{P}_{A}}<{{P}_{B}}\text{ and }{{T}_{A}}>{{T}_{B}}\]   

    B) \[{{P}_{A}}>{{P}_{B}}\text{ and }{{T}_{A}}<{{T}_{B}}\]  

    C) \[{{P}_{A}}={{P}_{B}}\text{ and }{{T}_{A}}<{{T}_{B}}\]

    D) \[{{P}_{A}}>{{P}_{B}}\text{ and }{{T}_{A}}={{T}_{B}}\]

    Correct Answer: A

    Solution :

    [a] For ideal gas \[{{C}_{p}}-{{C}_{v}}=R\] If \[{{C}_{p}}-{{C}_{v}}=1.06R,\] Then gas will be real gas. Thus pressure is high and temperature is low for real gas.


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