Question on: WAEC Physics - 1998

Air at temperature 527oC 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 127oC as it leaves the engine

A
1.5 atmospheres
B
2.5 atmospheres
C
3.0 atmospheres
D
12.8 atmospheres
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Correct Option: C

(\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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