thermal engine uses up 200 J of heat energy per cycle, while its mechanical work output per cycle is 40 J. (a) What is this engine’s thermal efficiency? (b) If this engine is utilized to lift a 100 kg mass to a height of 20 m, through how many cycles does the engine have to be run to perform the lift (the answer may not be an integer)? (Hint: to lift a weight to a height, mechanical work must be performed against gravity.) (c) Consider now an ideal thermal engine operating between a hot reservoir and a cold reservoir. Find the temperature (in 0 C) that would be required for the hot reservoir in order to achieve the same efficiency as the engine in part (a) if the cold reservoir is at room temperature (25 0 C).
A thermal engine uses up 200 J of heat energy per cycle, while its
work output per cycle is 40 J. (a) What is this engine’s thermal efficiency? (b) If this
engine is utilized to lift a 100 kg mass to a height of 20 m, through how many cycles does
the engine have to be run to perform the lift (the answer may not be an integer)? (Hint: to
lift a weight to a height, mechanical work must be performed against gravity.) (c)
Consider now an ideal thermal engine operating between a hot reservoir and a cold
reservoir. Find the temperature (in 0 C) that would be required for the hot reservoir in
order to achieve the same efficiency as the engine in part (a) if the cold reservoir is at
room temperature (25 0 C).
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