WAEC Physics 2017 Theory — Question 16
Question 16 of 33 from the West African Examinations Council (WAEC) Physics 2017 Theory paper, with the correct answer and a full explanation.
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9(c) At the beginning of a race, a tyre of volume 8.0x10^-4m3 at 20°C has a pressure of 4.5x10^5Pa. Calculate the temperature of the gas in the tyre at the end of the race if the pressure has risen to 4.6x10^5Pa.
Model answer
P1=4.5x10^5Pa, V1=8.0x10^-4m³, T1=20°C=(273+20)K=293K. P2=4.6x10^5Pa, V2=8.0x10^-4m³=V1 (constant volume). Using P1V1/T1=P2V2/T2: (4.5x10^5x8x10^-4)/293 = (4.6x10^5x8x10^-4)/T2. T2 = (293x4.6x10^5)/(4.5x10^5) = 299.5K.
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