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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 ......... $K$
An engineer claims to have made an engine delivering $10 kW$ power with fuel consumption of $1\,g\,{s^{ - 1}}$. The calorific value of fuel is $2k cal/g$. His claim