First slide

Different type of processes

Question

P–V plots for two gases during adiabatic processes are shown in figure. Plots 1 and 2 should correspond respectively to ______

Moderate

A

$He and O_{2}$
B

$O_{2} and He$
C

He and Ar
D

$O_{2} and N_{2}$

Solution

For adiabatic process slope of P – V graph at a point (P, V) = $\frac{γP}{V}$
At point A, ${(slope)}_{1} < {(slope)}_{2}$
$\begin{array}{l} ∴ γ_{1} < γ_{2} \\ \Rightarrow 1 + \frac{2}{f_{1}} < 1 + \frac{2}{f_{2}} \Rightarrow f_{1} > f_{2} \end{array}$
$f_{1} and f_{2}$ are number of degrees of freedom.
$O_{2}$ has degree of freedom = 5.
While He has degree of freedom = 3.

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