A Carnot engine, working between 300 K to 600 K has a work output of 8...
Given:
Temperature of source, T1 = 500 K
Temperature of sink, T2 = 300 K
Work output, W = 800 J/cycle
To find: Heat energy supplied to the engine from the source per cycle
Formula used: Efficiency of Carnot engine = (T1-T2)/T1
Efficiency of Carnot engine can also be expressed as:
Efficiency = Work output / Heat input
Heat input = Work output / Efficiency
Calculation:
Efficiency of Carnot engine = (T1-T2)/T1 = (500-300)/500 = 0.4 or 40%
Heat input = Work output / Efficiency = 800 / 0.4 = 2000 J/cycle
Therefore, the amount of heat energy supplied to the engine from the source per cycle is 2 KJ (2000 J/cycle).
Answer: c) 2 KJ
A Carnot engine, working between 300 K to 600 K has a work output of 8...
Given:
Temperature of source, T1 = 500 K
Temperature of sink, T2 = 300 K
Work output, W = 800 J
We need to find the amount of heat energy supplied to the engine from the source per cycle.
Formula used:
Efficiency of Carnot engine, η = 1 - (T2/T1)
Efficiency of Carnot engine, η = W/Q1
Where Q1 is the amount of heat energy supplied to the engine from the source.
Calculation:
Efficiency of Carnot engine, η = 1 - (T2/T1)
η = 1 - (300/500)
η = 1 - 0.6
η = 0.4
Efficiency of Carnot engine, η = W/Q1
0.4 = 800/Q1
Q1 = 800/0.4
Q1 = 2000 J
Therefore, the amount of heat energy supplied to the engine from the source per cycle is 2 KJ (2000 J).
Hence, the correct answer is option (c) 2 KJ.