Question

An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram.

If Q₁, Q₂, Q₃ indicate the heat absorbed by the gas along the three processes and ΔU_{1 ,}ΔU₂, ΔU₃ indicate the change in internal energy along the three processes respectively, then

(a) Q₁ > Q₂ > Q₃ and ΔU₁ = ΔU₂ = ΔU₃

(b) Q₃ > Q₂ > Q₁ and  ΔU₁ = ΔU₂ = ΔU₃

(c) Q₁ = Q₂ = Q₃ and ΔU₁ > ΔU₂ > ΔU₃

(d) Q₃ > Q₂ > Q₁ and ΔU₁ > ΔU₂ >ΔU₃

Answer 1

Correct option (a) Q₁ > Q₂ > Q₃ and ΔU₁ = ΔU₂ = ΔU₃

Explanation:

Change in internal energy is path independent and depends only on the initial and final states As the initial and final states in the three processes are same. Therefore