Find the equation for polytropic process for which specific heat capacity C=7R2  for a mono atomic gas

for a polytropic process C=Rγ-1+R1−x  here C=7R2= is specific heat;R is universal gas constant;γ is specific heat ratio=53;x is to be found;substitute given values,7R2=R53-1+R1−x7R2=R5-33+R1−x7R2=3R2+R1−x7R2−3R2=R1−x4R2=R1−x1−x=12x=12∴PVx=constant →equation for polytropic process ,P is pressure;V is volume; substitute x value, PV12=constantPV122=constantsquaring both sides P2V=constant