Question

A weather balloon has a volume of 65 liters when it is launched from sea level. It rises to an altitude where the atmospheric pressure is 0.65 atmospheres. What is its volume?

Answer 1

To find the volume of the balloon at the new altitude, we can use Boyle's Law. Using the formula P1V1 = P2V2, we can solve for the new volume. Substituting the given values, we find that the volume of the balloon at the new altitude is 100 liters.

Step-by-step explanation:

To solve this problem, we can use Boyle's Law, which states that the product of pressure and volume is constant at constant temperature.

We can use the formula P1V1 = P2V2 to find the volume of the balloon at the new altitude.

Given that the initial pressure is 1 atmosphere and the initial volume is 65 liters, and at the new altitude, the pressure is 0.65 atmospheres, we can solve for the new volume using the formula:

(1 atm)(65 L) = (0.65 atm)(V2)

Solving for V2, we find that the volume of the balloon at the new altitude is 100 liters.