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The pressure in a bicycle is 35.5 psi at 22.5 C. You take the bicycle up to Flagstaff, where the temperature is 3.9C. What is the pressure, in kpa, in the tire? Volume and amount of moles is held constant

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xero099

Answer:

[tex]P_{2} = 33.267\,psi[/tex]

Explanation:

Let assume that air in the tire behaves ideally. Afterwards, the following relation is used:

[tex]\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}[/tex]

The final pressure is:

[tex]P_{2} = \frac{T_{2}}{T_{1}}\cdot P_{1}[/tex]

[tex]P_{2} = \left(\frac{277.05\,K}{295.65\,K}\right)\cdot (35.5\,psi)[/tex]

[tex]P_{2} = 33.267\,psi[/tex]

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