First slide

Different type of processes

Question

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

Moderate

A

He and O₂
B

O₂ and He
C

He and Ar
D

O₂ and N₂

Solution

At a given pressure (P_o) and Volume (V_o), Slope of adiabatic process is equal to $- (\frac{γ P_{0}}{V_{0}})$ .
From the diagram, ${(\frac{γ P_{0}}{V_{0}})}_{1} < {(\frac{γ P_{0}}{V_{0}})}_{2}$
$\begin{array}{l} \Rightarrow γ_{1} < γ_{2} \\ \Rightarrow 1 + \frac{2}{f_{1}} < 1 + \frac{2}{f_{2}} \Rightarrow f_{1} > f_{2} For O_{2}, f = 5 and for He f = 3 \end{array}$

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