Question

Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, are compressed till their volume becomes half the initial volume.

• A. If the compression is adiabatic then monoatomic gas will have maximum final pressure.
• B. If the compression is adiabatic then triatomic gas will have maximum final pressure.
• C. If the compression is adiabatic then their final pressure will be same.
• D. If the compression is isothermal then their final pressure will be different.

Answer 1

Answer: (A)

$P_1{V}_1^{\gamma }=P_2{V}_2^{\gamma }$
$\frac{P_2}{P_1}={\left(\frac{v_1}{v_2}\right)}^{\gamma }$
$P_2=2^{\gamma }{P}_1$
${\gamma }_t>{\gamma }_d>{\gamma }_m\Rightarrow {\left(P_2\right)}_m<{\left(P_2\right)}_d<{\left(P_2\right)}_k$