Final answer:
Without the exact energy values for the specific diesel engine in question, we cannot determine the exact amount of heat that must be supplied in each cycle. However, we can understand that the work done is the difference between the heat supplied and the heat discharged based on thermodynamic principles.
Step-by-step explanation:
To determine how much heat must be supplied to the engine in each cycle, one must apply the principles of thermodynamics that govern heat engines. For a cyclic process, the net work done by the engine per cycle W is equal to the heat absorbed Qh minus the heat discharged Qc. Using this, we can find how much heat is transferred to the environment, as well as calculate the engine's efficiency.
For instance, if we apply these principles to an example engine where the engine does 1.50×105 J of work and has 2.56×106 J of heat transfer into it:
- The efficiency (η) would be the work done divided by the heat input, η = W/Qh.
- The heat transferred to the environment is the difference between the heat input and the work done, Qc = Qh - W.
Applying these calculations to the provided options for the diesel engine question given, without the exact input and output energy values, it's impossible to pinpoint the exact figure of how much heat must be supplied. However, knowing the principle that work is the difference between absorbed and discharged heat can guide the student to understand the engine's energy flow.