Answer to Question #282814 in Molecular Physics | Thermodynamics for Biola

Question

Show that a monoatomic ideal gas undergoing adiabatic process PV^5/3 is equal to constant

Answer 1

For an adiabatic process

$TV^{2/3}=const,$

for an ideal gas

$\frac{pV}T=const,$ $\implies$

$pVV^{2/3}=pV^{5/3}=const.$