Question

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.)


282 K


284 K


323 K


248 K

Answer 1

Explanation :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.)

(Answer is 323k)