First slide

Heat Engine; Carnot Engine and refrigerator

Question

An engineer claims to have made an engine delivering 10kw power with fuel consumption of 1g/s. The calorific value of the fuel is 2k cal/g. Is the claim of the engineer

Moderate

A

valid
B

Invalid
C

Depends on engine design
D

Depends of the load

Solution

$η = 1 - \frac{T_{2}}{T_{1}} \frac{W}{Q_{1}} = 1 - \frac{T_{2}}{T_{1}} \frac{10}{2 (4.2)} = 1 - \frac{T_{2}}{T_{1}} \frac{T_{2}}{T_{1}} = 1 - \frac{10}{8.4} = \frac{- 1.6}{8.4} = - 0.19 \frac{T_{2}}{T_{1}} c a n n o t b e n e g a t i v e . S o c l a i m o f e n g i n e e r i s n o t p o s s i b l e$

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