# ppp.PNG A mono atomic gas is going under adiabatic process . adiabatic elasticity at pressure P = 10 ^3 N/ m^2 is K times 10 ^3 N/ m^2 then value of K is

For adiabatic process $PV^\gamma = constant \: \: di\! f\! \! f\! erentiating \: \: both \: \: side$
$dPV^\gamma + P\gamma V^{\gamma -1}dV = 0$
$\gamma P = \frac{dP}{-dv/v} = \frac{stress }{strain } = elasticity \\\\ adiabatic \: \: elasticity = \gamma P \\\\ = 5/3 \times 10 ^3 \\\\ = 1.67 \times 10 ^ 3$