The volume of a balloon is 2.74 L at 24.3°C. The balloon is heated to 43.8°C. Calculate the new volume of the balloon.

Question

Quizplus · Accepted Answer

Use the formula for the Ideal Gas Law: PV = nRT

At the first temperature and volume, we have:

P1V1 = nRT1

At the second temperature and volume, we have:

P2V2 = nRT2

Since the number of moles and pressure stay constant, we can set the two equations equal to each other and solve for V2:

P1V1/T1 = P2V2/T2

V2 = V1(T2/T1)*(P1/P2)

Plug in the values given:

V2 = 2.74 L * (316.95 K / 297.45 K) * (1 atm / 1 atm) = 2.92 L

Therefore, the new volume of the balloon is 2.92 L. The answer is (D).

The Volume of a Balloon Is 2