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If the can is thrown into a fire (t = 475 ⁰c), what will be the pressure in the hot can?

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Final answer:

Using Gay-Lussac's Law, the pressure inside a heated aerosol can is found by maintaining the proportionality between temperature and pressure. The initial pressure and temperature conditions are used to calculate the final pressure after converting temperatures to Kelvin.

Step-by-step explanation:

The student is asking about how to calculate the pressure inside an aerosol can when subjected to high temperatures. This situation can be analyzed using the Gas Laws, specifically 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. In order to find the pressure in the hot can at 475 °C, we would first convert the temperatures to Kelvins and then use the formula P1/T1 = P2/T2 to solve for P2, the final pressure.

Given the initial pressure (P1) of 1344 torr at 23 °C, and the final temperature (T2) of 475 °C, we can find the final pressure after converting the temperatures to the Kelvin scale. It's essential to note that heating an aerosol can to such temperatures is extremely dangerous due to the risk of explosion from increased pressure.

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