1. A mountain biker goes for a ride in the desert. The air temperature is 21°C at the start of the ride, but the temperature in the desert will reach a peak of 51°C. The tires on the bike hold 15.6 L of nitrogen gas at a starting pressure of 249 kPa. The tires will burst when the internal pressure (Pb) reaches 269 kPa. Answer the following questions and show your work.

Question

Chemistry

Shaun Bailey

16 May, 19:07

1. A mountain biker goes for a ride in the desert. The air temperature is 21°C at the start of the ride, but the temperature in the desert will reach a peak of 51°C. The tires on the bike hold 15.6 L of nitrogen gas at a starting pressure of 249 kPa. The tires will burst when the internal pressure (Pb) reaches 269 kPa. Answer the following questions and show your work.

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Answers (1)

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Mario Pierce · Answer 1

Assuming that we need to find the maximum temperature so that the tires will not burst. And assuming constant volume. Use Gay-Lussac's Law:

T1 = 21 C

T2 = ?

P1 = 249 kPa

P2 = 269 kPa

From the ideal gas law, PV = nRT

P/T = constant

P1/T1 = P2/T2

so,

249 kPa / (21+273) K = 269 kPa / (T2 + 273) K

T2 = 44.61 C