QJEEM20Phd353: JEE Main 2020 Physics - Class 11 JEEM20Phd353 Solution: Consider a mixture of n moles of helium gas and 2n moles of…

Question

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Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its C_P/C_V value will be :

Accepted Answer

{{{C_P}} \over {{C_V}}} = {{{n_1}{C_{{P_1}}} + {n_2}{C_{{P_2}}}} \over {{n_1}{C_{{V_1}}} + {n_2}{C_{{V_2}}}}}

=

{{n \times {{5R} \over 2} + 2n \times {{7R} \over 2}} \over {n \times {{3R} \over 2} + 2n \times {{5R} \over 2}}}

=

{{5 + 14} \over {3 + 10}}

=

{{19} \over {13}}

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