Academic Subjects
Chemistry
General Chemistry
Gases
Calculating Change In Pressure Of Heated Gas

Determine the pressure change when a constant volume of gas at 1.00 atm is heated from 20.0℃ to 303 K?



We're dealing with a gas here, so keeping the Ideal Gas Law

pV = nRT

in mind, is a good idea

Since we're not interested in the type of gas, i.e. moles (so we don't need R either)
and the volume remains constant, pV = nRT we'll end up with

p = T, also called Gay-Lussac's Law

Now, we can set up a ratio

pinital / pfinal
=
Tinital / Tfinal


converting T
20 °C + 273.15 = 293.15 K

1 atm / p
=
293.15 K / 303 K


p =
[(1 atm)(303 K)] / 293.15 K


pfinal = 1.0336 atm


The pressure change of this gas is + 0.0336 atm