A helium balloon is filled to a volume of 23.9 L at 299 K. What will the volume of the balloon become if the balloon is heated to raise the temperature to 371 K?
To solve this problem, we can use the combined gas law equation:
(P1)(V1)/(T1) = (P2)(V2)/(T2)
Given:
V1 = 23.9 L
T1 = 299 K
T2 = 371 K
Let's assume the pressure remains constant. Therefore, we can cross out the pressure terms from the equation.
(23.9 L)(299 K) = V2*(371 K)
7126.1 = V2*371
Now we can solve for V2:
V2 = 7126.1 / 371
V2 ≈ 19.22 L
Therefore, the volume of the balloon will be approximately 19.22 L when the temperature is raised to 371 K.