Grade 10Thermal Physics

An ideal carnot engine, whose efficiency is 40% receives heat at 500 K. If its efficiency is 50%, then the intake temperature for the same exhaust temperature is

(a) 600 K

(b) 700 K

(c) 800 K

(d) 900 K

Aditi Chauhan

12 Years agoGrade 10

2 Answers

Simran Bhatia

12 Years ago

(a)

Efficiency of carnot engine (h₁) = 40%

= 0.4; Initial intake temperature (T₁) = 500 K

and new efficiency (h₂) = 50% = 0.5.

Kushagra Madhukar

5 Years ago

Dear student,

Please find the answer to your question.

Efficiency of carnot engine (n₁) = 40% = 0.4;

Initial intake temperature (T₁) = 500 K

and new efficiency (n₂) = 50% = 0.5

Now, Efficiency, n = 1 – T₂/T₁

or, T₂/T₁ = 1 – n

In first case, T₂/500 = 1 – 0.4 = 0.6

=> T₂ = 0.6 x 500 = 300 K

In second case, 300/T₁ = 1 – 0.5 = 0.5

=> T₁ = 300/0.5 = 600 K

Thanks and regards,

Kushagra

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An ideal carnot engine, whose efficiency is 40% receives heat at 500 K. If its efficiency is 50%, then the intake temperature for the same exhaust temperature is (a) 600 K (b) 700 K (c) 800 K (d) 900 K

Aditi Chauhan

2 Answers

Simran Bhatia

Kushagra Madhukar

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(a) 600 K

(b) 700 K

(c) 800 K

(d) 900 K