NEET Sample Paper NEET Sample Test Paper-69

  • question_answer
    One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is

    A) 8                                 

    B) \[\frac{3}{2}\,R\]

    C) 2R                               

    D) \[2.5\,\,R\]

    Correct Answer: C

    Solution :

    \[{{\left( {{C}_{V}} \right)}_{mix}}=\frac{{{\mu }_{1}}{{C}_{{{V}_{1}}}}+{{\mu }_{2}}{{C}_{V2}}}{{{\mu }_{1}}+{{\mu }_{2}}}\] \[=\,\,\frac{1\times \frac{3}{2}R+1\times \frac{5}{2}\,\,R}{1+1}=2\,R\] \[\left( {{\left( {{C}_{V}} \right)}_{mono}}=\frac{3}{2}\,\,R,\,\,{{\left( {{C}_{V}} \right)}_{di}}=\frac{5}{2}\,\,R \right)\]


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