Question

explanation of the question needed​

Answer 1

Answer:

• The highest temperature is proportional to the highest volume of the gas during the transition from one state to another.

Explanation:

The ideal gas equation is :  P V = n R T     ---- (1)

• with the usual meanings to the symbols in there.

Given P = p₀ a V          ---- (2)

• that means that pressure is directly proportional to the volume. It means that when pressure of the gas is altered, the temperature changes in such a way that both (1) and (2) are satisfied.

 So    p₀ a V * V = n R T

 =>  T = [ p₀ a /(n R)] V²

• When pressure is increased, the volume is increased and the temperature is increased too. The gas absorbs energy from the environment or the energy source. There is work done on the gas and there is an increase in the internal energy of the gas too.

• When the gas changes from (P1, V1, T1) to (P2, V2 , T2) in such a way that T2 > T1, then T2 is the highest temperature.

    T_max = [ p₀ a /(n R) V²_max