An engine operates on the reversible cycle as shown in the figure. The work output from the engine (in kJ/cycle) is ______ (correct to two decimal places).
Correct Answer :
Solution :
The correct answer is 62.5.
For any thermodynamic cycle represented on a pressure-volume () diagram, the net work output per cycle is equal to the area enclosed by the path of the cycle.
By analyzing the provided diagram, we can observe that the cycle forms a right-angled triangle. The coordinates and limits visible in the image are:
- Pressure () is plotted on the vertical axis in kilopascals (), with values ranging from to .
- Volume () is plotted on the horizontal axis in cubic meters (), with values ranging from to .
We can determine the base and height of the triangular region representing the cycle:
- Base () =
- Height () =
The work output is calculated using the formula for the area of a triangle:
Substituting the values into the formula:
Since the product of pressure in and volume in gives energy in kilojoules ():
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