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JEE Main & Advanced JEE Main Paper Phase-I Held on 07-1-2020 Morning

  • question_answer
    Two moles of an ideal gas with \[\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{5}{3}\] are mixed with 3 moles of another ideal gas with \[\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{4}{3}\]. The value of \[\frac{{{C}_{P}}}{{{C}_{V}}}\] for the mixture is: [JEE MAIN Held on 07-01-2020 Morning]

    A) 1.47     

    B) 1.42

    C) 1.50     

    D) 1.45

    Correct Answer: B

    Solution :

    [b] \[\because \frac{{{n}_{1}}}{{{\gamma }_{1}}-1}+\frac{{{n}_{2}}}{{{\gamma }_{2}}-1}=\frac{{{n}_{1}}+{{n}_{2}}}{{{\gamma }_{m}}-1}\] \[\Rightarrow \frac{3}{\frac{4}{3}-1}+\frac{2}{\frac{5}{3}-1}=\frac{5}{\gamma m-1}\] \[\Rightarrow \frac{9}{1}+\frac{2\times 3}{2}=\frac{5}{{{\gamma }_{m}}-1}\] \[\Rightarrow {{\gamma }_{m}}-1=\frac{5}{12}\] \[\Rightarrow {{\gamma }_{m}}=\frac{17}{12}=1.42\]


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