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Question

Physics Question on work, energy and power

An engineer claims to have made an engine delivering 10 kW power with fuel consumption of 1gs11\,gs^{-1}. The calorific value of fuel is 2 kcalg1kcalg^{-1}. This claim is

A

valid

B

invalid

C

dependent on engine design

D

dependent on load

Answer

invalid

Explanation

Solution

Poutput=10kWP_{output}=10kW
pinput=2×103calg1×1gs1p_{input} =2\times 10^3 cal g^{-1} \times 1 gs^{-1}
= 2 ×103cals1\times10^3 cals^{-1}
= 2×103×4.2Js12\times 10^3 \times 4.2 Js^{-1}
=8.4 kW
As,Poutput>Pinput P_{output} > P_{input}, hence it is never possible