Aerosol cans carry clear warnings against incineration because
of...

Question

Aerosol cans carry clear warnings against incineration because
of the high pressures that can develop upon heating. Suppose
that a can contains a residual amount of gas at a pressure of
755 mmHg and a temperature of 25 °C. What would the pressure
be if the can were heated to 1155 °C?

Accepted Answer

Hello everyone today, we are being asked to solve the following problem. So it says a spray paint cans are pressurized containers and high temperatures can increase the pressure inside of these cans. Consider a can that still contains some leftover amount of gas that has a pressure of 748 H. G. And a temperature of 23 degrees Celsius. If the can is heated to 1220°C, assuming it can be heated to that temperature, what would the pressure of that can be at that temperature? So the first thing we want to know is what variables are we working with, We're working with pressure and temperature and therefore we can use gay loose Acs law which directly states that pressure is related to temperature. So we have our equation, the initial pressure over the initial temperature is equal to the final pressure. That's over the final temperature. The next thing I want to know is our units. So for temperature for T one we have to convert this 23°C into Kelvin And to do that we simply add 273.15 Kelvin. This gives us the final value of 296.15 Kelvin. We must do the same with the final temperature. We have 1,220°C And we add 273.15 Kelvin. We get a value of 1493. Kelvin. Our other variable is pressure with our initial pressure. We have 748 mm h. G. And for our final pressure that is unsure. That is unknown. So we're gonna go ahead and place a question mark there with art values given to us. We can now plug them into our equation. So we're going to have 748 NMH. G. Over our 2 96.15 Kelvin. And we're gonna equal that to our final pressure, which you don't know And place that over our final temperature, which is 1,493 0.15 kelvin Algebra will yield us with the final pressure of 771 0.32 mm h g. I hope this helped. And until next time.

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