A Carnot engine has the same efficiency between (i) 100 K and 500 K , (ii) T K and 900 K . The value of T is

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Question: Answered & Verified by Expert

A Carnot engine has the same efficiency between (i)

100 K

and

500 K

, (ii)

T K

and

900 K

. The value of

T

is

PhysicsThermodynamicsNEET

Options:

A $180 K$
B $90 K$
C $270 K$
D $360 K$

Solution:

2947 Upvotes Verified Answer

The correct answer is:

180 K

η = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{100}{500} = 1 - \frac{T}{900}

∴ \frac{T}{900} = \frac{1}{5} or T = 180 K

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