The GATE Grind

GATE 2021 MT – Question 55

Metallurgical Thermodynamics · Thermodynamic laws and functions · 2 marks · Numerical answer

The figure shows the entropy versus temperature plot of a reversible engine cycle. For $T_1=200$ K and $T_2=600$ K, its efficiency is ______ % (two decimal places).

Diagram for GATE 2021 MT question 55

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 63.00 to 71.00

Explanation

Vertical lines in the T–S plot are isentropic; horizontal lines exchange Qhot=T2ΔS and Qcold=T1ΔS. Efficiency is 1−T1/T2=1−200/600=**66.67%**.