College

The pressure in a bicycle tire is 105 psi at 28°C when you are at home. You take the bicycle up north where the temperature is -3°C. What is the pressure in the tire?

A. 90 psi
B. 95 psi
C. 100 psi
D. 105 psi
E. 110 psi

Answer :

Final answer:

The pressure in the tire decreases when the temperature decreases, so the correct answer is 90 psi.

Explanation:

The pressure in a bicycle tire can be calculated using the ideal gas law formula: P1V1/T1 = P2V2/T2. We can assume the volume and amount of gas in the tire are constant. Plugging in the values, we have:

P1 = 105 psi, T1 = 28°C = 301 K, T2 = -3°C = 270 K

Solving for P2:

P2 = P1 x (T2/T1) = 105 psi x (270 K/301 K) = 94.81 psi

Therefore, the pressure in the tire when you take it up north where the temperature is -3°C is 94.81 psi. The correct answer is (a) 90 psi. The pressure decreases with decreasing temperature.

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