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Chapter 2

Q. 2.7

An engine piston has an area of 50 cm² and moves 6 cm during part of suction stroke. 350 cm³ of fresh air is drawn in from the atmosphere. The pressure in the cylinder during suction stroke is 0.9 bar and atmospheric pressure is 1 bar. The flow resistance in the suction pipe and inlet valve is accounted for by the difference of atmospheric pressure and suction pressure. Calculate the net work done during the process.

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Verified Solution

The system conditions are shown in Fig. 2.23.

Net work done,

\begin{aligned}&W_{\text {net }}= \underset{{\text {Piston }} }{\int p} \cdot d V+\underset{{\text {free }-\text { air Boundary } } }{\int p \cdot d V} \\&=0.9 \times 10^5 \times 50 \times 6 \times 10^{-6}-1 \times 10^5 \times 350 \times 10^{-6}\\&=27-35=-8 \ J\end{aligned}

The free air work is negative because its boundary contracts.

2.23