QJEEM20Ph7e81: JEE Main 2020 Physics - Class 11 JEEM20Ph7e81 Solution: Two moles of an ideal gas with are mixed with 3 moles of…

Question

Verified Solution • 2025–26 Session moderate

Two moles of an ideal gas with

{{{C_P}} \over {{C_V}}} = {5 \over 3}

are mixed with 3 moles of another ideal gas with

{{{C_P}} \over {{C_V}}} = {4 \over 3}

. The value of

{{{C_P}} \over {{C_V}}}

for the mixture is :

Accepted Answer

C_p =

{{{n_1}{C_{{p_1}}} + {n_2}{C_{{p_2}}}} \over {{n_1} + {n_2}}}

C_v =

{{{n_1}{C_{{V_1}}} + {n_2}{C_{{V_2}}}} \over {{n_1} + {n_2}}}

\gamma

_mix =

{{{C_p}} \over {{C_v}}}

=

{{2 \times {5 \over 2}R + 3 \times {8 \over 2}R} \over {2 \times {3 \over 2}R + 3 \times {6 \over 2}R}}

=

{{5 + 12} \over {3 + 9}}

= 1.42

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