A balloon originally had a volume of 4.39 L at 44 °C and a pressure of 729 torr.The balloon must be cooled to ________ °C to reduce its volume to 3.99 L (at constant pressure).
A)0.00
B)15.1
C)-288
D)288
E)546

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve this problem, where P1V1/T1 = P2V2/T2. We can rearrange this equation to solve for the final temperature: T2 = (P2V2/T1)(P1/V1). Substituting the given values and solving for T2 gives:

T2 = (729 torr x 3.99 L)/(4.39 L x 44°C) = 15.1°C

Therefore, the balloon must be cooled to 15.1°C to reduce its volume to 3.99 L. Option B is the correct answer.

A Balloon Originally Had a Volume of 4