Q. Considering the gases to be ideal, the value of $\gamma = \frac{C_{P}}{C_{V}}$ for a gaseous mixture consisting of 3 moles of carbon dioxide and 2 moles of oxygen will be $(\gamma_{O_{2}} = 1.4,\ \gamma_{CO_{2}} = 1.3)$
A) 1.37
B) 1.34
C) 1.55
D) 1.63
Explanation
(b) $\gamma_{mix} = \frac{\frac{\mu_{1}\gamma_{1}}{\gamma_{1} - 1} + \frac{\mu_{2}\gamma_{2}}{\gamma_{2} - 1}}{\frac{\mu_{1}}{\gamma_{1} - 1} + \frac{\mu_{2}}{\gamma_{2} - 1}} = \frac{\frac{3 \times 1.3}{(1.3 - 1)} + \frac{2 \times 1.4}{(1.4 - 1)}}{\frac{3}{(1.3 - 1)} + \frac{2}{(1.4 - 1)}} = 1.33$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.