In an I.C. engine, a gas is undergoing a cyclic process as shown in P-V diagram. If the engine completes 5 cycles in a second, then the average power of the engine is x × 105W. Then value of x is :

Engineering

Physics

Thermodynamics

Cyclic Processes

Question

In an I.C. engine, a gas is undergoing a cyclic process as shown in P-V diagram. If the engine completes 5 cycles in a second, then the average power of the engine is x × 10⁵W. Then value of x is :

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Work done by the gas in one cycle

= Area under P – V graph

$= \frac{1}{2} (0 .4 \times 10^{5})$

= 20 kJ

In 1 sec., 5 cycles are completed

So, Work done in 1 sec.

= 5 × 20 kJ = 100 kW.