I am studying Fire Science Engineering. I have a question concerning my homework. The question is A compartment measures 3 meters by 5 meters and is 2.8 meters high. A fire raises the temperature from 20 degrees C to 1000 degrees C. If the starting pressure was one atmosphere, what pressure is present at the elevated temperature assuming the compartment remains closed? This will be appreciated. Thanks.

2 answers

If the compartment is closed, the number of moles and volume are constant, so the ideal gas law tells you that
P/T = constant
where T is the absolute temperature.

P2/T2 = P1/T1

P2 = (T2/T1)*P1 = 1273/293 = 4.345 atm
Thank you so much for the help. Appreciate it. Take Care.