A helium balloon is filled to a volume of 27.7 L at 300 K.What will the volume of the balloon become if the balloon is heated to raise the temperature to 392 K?

Question

Quizplus · Accepted Answer

Using Charles's Law, we know that the volume of a gas is directly proportional to its temperature, while pressure and amount of gas are constant. Thus, we can set up the following equation:

(V1/T1) = (V2/T2)

where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume (what we are trying to find), and T2 is the final temperature. Plugging in the values we know:

(27.7 L / 300 K) = (V2 / 392 K)

Solving for V2:

V2 = (27.7 L / 300 K) * 392 K = 36.2 L

So the balloon will expand to a volume of 36.2 L when heated to 392 K. Therefore, the answer is Choice A.

A Helium Balloon Is Filled to a Volume of 27