Question

State whether true or false :
The adiabatic elasticity of an ideal gas is equal to the product of initial pressure and specific heats ratio of the gas.

• A. True
• B. False

Answer 1

The correct option is A True

For adiabatic gas,

${PV}^{\gamma }=Constant$

or, $V^{\gamma }dp+\gamma V^{\gamma -1}pdv=0$

or, $dP+\frac{\gamma }{V}PdV=0$

$\therefore dP=-\gamma P\frac{dV}{V}$

$-\frac{dP}{\frac{dV}{V}}=+\gamma P$

or,$K=\gamma P$

$K⟶$Adiabatic elasticity.

$\gamma =\frac{C_p}{C_v}=$Specific heats ratio.

$P=$ initial pressure.