At 10°c, the gas in a cylinder has a volume of 0.250 l. the gas is allowed to expand to 0.285 l. what must the final temperature be for the pressure to remain constant? (hint °c + 273 = k.)

Use the formula: P1V1T1=P2V2T2

We know that we want P1=P2 so the pressure will remain constant, so we can say that: P1V1T1=P1V2T2

Plug in the values we know: P1⋅0.250L283K=P1⋅0.285LT2
(Remember that temperature must be done in Kelvin.)

Cross multiply: T2⋅P1⋅0.250L=283K⋅P1⋅0.285L

Divide both sides by P1.

T2⋅0.250L=283K⋅0.285L

T2=283K⋅0.285L0.250L

T2=323K

(This is also 50˚C.)