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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    The ratio of two specific heats of gas \[{{C}_{p}}/{{C}_{V}}\] for argon is \[1.6\] and for hydrogen is\[1.4\]. If adiabatic elasticity of argon at pressure \[p\] is \[E,\] then at what pressure the adiabatic elasticity of hydrogen will also be equal to\[E\]?

    A) \[p\]                                     

    B) \[1.4p\]

    C) \[\frac{7}{8}p\]                                

    D)  \[\frac{8}{7}p\]

    Correct Answer: D

    Solution :

    Adiabatic elasticity\[E=\gamma p,\] For argon\[,\]\[{{E}_{Ar}}=1.6\,\,p\]                                       ... (i) For hydrogen\[,\]\[{{E}_{H}}=1.4\,\,p\]                 ... (ii) As elasticity of argon and hydrogen are equal \[\therefore \]  \[1.6\,\,p=1.4\,\,p'\]or\[p'=\frac{1.6}{1.4}=\frac{8}{7}p\]


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