Question

A spray can is used until it is empty except for the propellant gas, which has a pressure of 1344 torr at 23°C. If the can is thrown into a fire (T = 475°C), what will be the pressure in the hot can?

Answer 1

The new pressure in the hot can is 3396.32 torr

Explanation:

The equation derived from Gay-Lussac's gas law is used to calculate the new pressure in the gas can as it relates pressure and temperature. It states that the pressure of a fixed mass of gas is directly proportional to its temperature in Kelvin.

Mathematically, P1/T1 = P2/T2, where P1 and P2 are the initial and final pressures, and T1 and T2 are the initial and final temperatures respectively.

From the given values, P1 = 1344torr, T1 = 23°C= (23+273)K = 296K, P2 =?, T2 = 475°C = (475 +273)K = 748K

Making P2 subject of the formula, P2 = P1T2/T1

P2 = 1344*748/296

P2 = 3396.32 torr