In Carnot engine, efficiency is 40 % at hot reservoir temperature T. For efficiency 50 % , what will be the temperature of hot reservoir?

Question

In Carnot engine, efficiency is 40 % at hot reservoir temperature T. For efficiency 50 % , what will be the temperature of hot reservoir?, 2 T 5, 6 T, 6 T 5, T 5

MARKS App · Accepted Answer

The efficiency η = w o r k d o n e h e a t i n p u t = W Q η = 1 - T 2 T 1 Where, T 2 = temperature of sink And T 1 = temperature of hot reservoir 40 100 = 1 - T 2 T 1 ⇒ T 2 T 1 = 0.6 ⇒ T 2 = 0.6 T 1 Now, 50 100 = 1 - T 2 T 1 ′ ⇒ T 2 T 1 ′ = 0.5 0.6 T 1 T 1 ′ = 0.5 ⇒ T 1 ′ = 0.6 0.5 T 1 ⇒ T 1 ′ = 6 5 T 1 ⇒ T 1 ′ = 6 5 T ∵ T 1 = T

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