Air at temperature 527oC and pressure 30 atmospheres is admitted into the cylinder of an...

WAEC 1998

Air at temperature 527^oC and pressure 30 atmospheres is admitted into the cylinder of an engine. Calculate the pressure of the gas when it has expanded to 5 times its volume and cooled to 127^oC as it leaves the engine

A. 1.5 atmospheres
B. 2.5 atmospheres
C. 3.0 atmospheres
D. 12.8 atmospheres
E. 15.0 atmospheres

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Correct Answer: Option C

Explanation

\(\frac{V_1P_1}{T_1} = \frac{V_2P_2}{T_2}\)

\(\frac{1 \times 30}{527 + 2733} = \frac{5P_2}{127 + 273}\)

\(\frac{30}{800} = \frac{5p_2}{400}\)

P₂ = \(\frac{400 \times 30}{800 \times 5}\)

= 3

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