Question

During an adiabatic process, the pressure of a gas is found to be proportional to the fifth power of its absolute temperature. The γ (gamma) of gas is:

a. 1.25
b. 1.20
c. 1.40
d. 1.50

Answer 1

The γ (gamma) value of the gas is 5/3.

Step-by-step explanation:

The question asks for the gamma (γ) value of a gas when the pressure is proportional to the fifth power of its absolute temperature during an adiabatic process. In an adiabatic process, the pressure and volume are related by the equation pVγ = constant, where γ is the specific heat ratio. For this gas, we are given that γ is proportional to the fifth power of its absolute temperature. Therefore, γ = 5/3.