Question

A football is inflated to a pressure of 1.00 x 103 torr in a room at 25°c. if the game is played at 10°c, what will the pressure in the ball be, neglecting any volume change in the ball and assuming that it doesn't leak?

Answer 1

The pressure in the football at 10°C will be 948.67 torr when applying Gay-Lussac's Law and assuming no change in volume or leaks.

Step-by-step explanation:

The question is asking to determine the pressure inside a football when temperature conditions change, without any change in the volume or any leaks. This problem is solved using the gas laws, particularly the Gay-Lussac's Law, which states that the pressure of a gas is directly proportional to its absolute temperature when the volume is held constant.

Calculation using Gay-Lussac's Law

Initial conditions: P1 = 1.00 x 103 torr, T1 = 25°C (or 298.15 K)
Final conditions: P2 = ?, T2 = 10°C (or 283.15 K)
Using the formula P1/T1 = P2/T2:
P2 = P1 × (T2/T1) = (1.00 x 103 torr) × (283.15 K / 298.15 K) = 948.67 torr