Question

The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. what is the specific heat ratio?

Answer 1

For an adiabatic process, pressure and volume are related as follows:

PV^k = constant

where k is the specfic heat ratio.

Since the right is a constant, we can write the equation as follows:

P1V1^k = P2V2^k

substituting the given values,

P2/P1 = 2.5
V1/V2 = 2

2.5 = 2^k
k = 1.32

Hope this answers the question. Have a nice day.