Thermodynamics - Result Question 50

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

[1995]

(a) 600K

(b) 700K

(c) 800K

(d) 900K

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Answer:

Correct Answer: 53. (a)

Solution:

  1. (a) Efficiency of carnot engine (η1)=40 =0.4; Initial intake temperature (T1)=500K and new efficiency (η2)=50.

Efficiency (η)=1T2T1 or T2T1=1η.

Therefore in first case, T2500=10.4=0.6.

T2=0.6×500=300K

And in second case, 300T1=10.5=0.5

T1=3000.5=600K

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