A weather balloon has a volume of 175 L when filled with hydrogen at a pressure of 1.000 atm. Calculate the volume of the balloon when it rises to a height of 2000 m, where atmospheric pressure is 0.8000 atm. Assume that temperature is constant.

Explanation

To solve the problem of the weather balloon's volume change as it rises to a height of 2000 m, we can use Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional. This can be expressed mathematically as:

\[ P_1 V_1 = P_2 V_2 \]

Where:
- \( P_1 \) = initial pressure
- \( V_1 \) = initial volume
- \( P_2 \) = final pressure
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