Question

Sam's bike tire contains 15 units of air particles and has a volume of 160 mL. Under these conditions the pressure reads 13 psi. The tire developes a leak. Now it contains 10 units of air and has contracted to a volume of 150 mL. What would the tire pressure be now?

Answer 1

To find the tire pressure after a leak, we can use the principle of Boyle's Law, which states that the pressure and volume of a gas are inversely proportional, assuming constant temperature.

Step-by-step explanation:

To find the tire pressure after a leak, we can use the principle of Boyle's Law, which states that the pressure and volume of a gas are inversely proportional, assuming constant temperature.

Using this principle, we can set up the equation:

P1V1 = P2V2

Where P1 is the initial pressure (13 psi), V1 is the initial volume (160 mL), P2 is the final pressure, and V2 is the final volume (150 mL).

Plugging in the values, we get:

13 psi * 160 mL = P2 * 150 mL

P2 = (13 psi * 160 mL) / 150 mL

P2 = 13.8667 psi