d
વાયુ મિશ્રણ માટે

\({C_P} = \frac{{{\mu _1}{C_P}_{_1} + {\mu _2}{C_{{P_2}}}}}{{{\mu _1} + {\mu _2}}}\,,\,\,\,{C_V} = \frac{{{\mu _1}{C_{{V_1}}} + {\mu _2}{C_{{V_2}}}}}{{{\mu _1} + {\mu _2}}}\)

નાઇટ્રોજન માટે \({\mu _{\text{1}}} = \frac{{{m_1}}}{{{M_1}}} = \frac{7}{{28}} = \frac{1}{4};\) 

આર્ગોન  માટે \({\mu _{\text{2}}} = \frac{{{m_2}}}{{{M_2}}} = \frac{{20}}{{40}} = \frac{1}{2}\)

\(\therefore \,\,\,\,{C_{{P_1}}} = \frac{{{\gamma _1}R}}{{{\gamma _1} - 1}} = \frac{{1.4 \times 8.3}}{{1.4 - 1}} = 29.05,\,\)

\({C_{{V_1}}} = \frac{R}{{{\gamma _1} - 1}} = \frac{{8.3}}{{0.4}} = 20.75,\,\)

\({C_{{P_2}}} = \frac{{{\gamma _2}R}}{{{\gamma _2} - 1}} = \frac{{1.67 \times 8.3}}{{0.67}} = 20.68,\)

\({C_{{V_2}}} = \frac{R}{{{\gamma _2} - 1}} = \frac{{8.3}}{{0.67}} = 12.38\)

આથી \(C_P  = 23.47 \,\,J/mol K\) અને\( C_V = 15.2\,\, J/mol K\) મળે છે

આણ્વીય દળ \(M=\) કુલ દળ/કુલ મોલ \( = \frac{{20 + 7}}{{\left( {\frac{1}{4}} \right) + \left( {\frac{1}{2}} \right)}} = 36\,\,g/mol\)

\(\therefore \,\,{C_P} = \frac{{{C_P}}}{M} = \frac{{23.47}}{{36}} = 0.65\,\,J/g\,\,K;\,\,\,\)

\({C_V} = \frac{{{C_V}}}{M} = \frac{{15.2}}{{36}} = 0.421\,J/g\,\,K\)