Question

In the indicator diagram fig. shown of Carnot cycle Ta, Tb, Te, Td represent temperature of gas at A, B, C, D respectively. Which of the following is correct relation

• A. \(T_a=T_b=T_c=T_d\)
• B. \(T_a=T_c,\;T_b=T_d\)
• C. \(T_a=T_d,\;T_c=T_b\)
• D. \(T_a=T_b,\;T_c=T_d\)

Hint:

Carnot: temperatures equal on each isothermal branch.

Answer 1

The Correct Option is D

Step 1: Carnot cycle has two isotherms and two adiabats.
Step 2: Points on same isotherm have same temperature.
Step 3: From diagram A→B is isothermal; C→D is other isothermal.
Step 4: Therefore: \[ T_a=T_b,\qquad T_c=T_d. \] Hence → (D).