For isentropic or reversible adiabatic process the P-V-T relation is given by
T2
T1
=(
V1
V2
)γ−1=(
P2
P1
)
γ−1
γ
or P=KTγ∕γ−1 The given relation for the isentropic process in the question is P=KT5∕2 Comparing the above relationship with the standard relation of the isentropic process we will get,