A tire has a pressure of 780 mmHg at 27°C. If the tire is heated to 47°C on hot pavement, the new pressure will be:

Question

Jesse Durham

Chemistry

5 January, 17:13

A tire has a pressure of 780 mmHg at 27°C. If the tire is heated to 47°C on hot pavement, the new pressure will be:

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Helen · Answer 1

To solve this we assume that the gas inside the balloon is an ideal gas. Then, we can use the ideal gas equation which is expressed as PV = nRT. At a constant volume and number of moles of the gas the ratio of T and P is equal to some constant. At another set of condition, the constant is still the same. Calculations are as follows:

T1/P1 = T2/P2

P2 = T2 x P1 / T1

P2 = (47+273.15) x 780 / (27+273.15)

P2 = 831.97 mmHg