Question

$V=k{\left(\frac{P}{T}\right)}^{0.33}$ where k is a constant, represents an

• A. isothermal process
• B. adiabatic process
• C. isochoric process
• D. isobaric process

Answer 1

The correct option is C isochoric process

$V=K{\left[\frac{P}{T}\right]}^{0.33}$

$PV=nRT$

$\frac{P}{T}=\frac{nR}{V}$

$V=K{\left[\frac{nR}{V}\right]}^{0.33}$

$V=K^1{\left[\frac{1}{V}\right]}^{0.33}$

$V=K^1{V}^{-0.33}$

$V^{1.33}=K^1$

$V=K^{11}$

$V⟶$ Is constant.

$\therefore$ It is an isochoric process.

OPTION : C.