Chemistry - Thermodynamics - I Question with Solution | TestHub
An ideal gas is taken reversibly from state A (P, V) to the state B (0.5P, 2V) along a straight line in PV diagram. Which of the following statement(s) is/are correct regarding the process?
Options:(select one or more)
Answer:
Solution:
Let p = P/P0 and u = V/V0 with the start at (1,1). The line is p = 1.5 - 0.5u. Since PV is the same at A and B, both ends lie on one isotherm, and the straight chord lies above the convex hyperbola, so the area (work) is larger: (a) true. T ∝ pu = u(1.5 - 0.5u) is quadratic in u, a parabola in T-V: (b) true. Using u = 3 - 2p, T ∝ p(3 - 2p) is quadratic in p, so P-T is a parabola, not a hyperbola: (c) false. dT/du = 0 at u = 1.5, which lies between 1 and 2, and it is a maximum: (d) true. Ans: (a), (b), (d).
