In 1783, Jacques Charles launched his first balloon filled with hydrogen gas, which he c...

In 1783, Jacques Charles launched his first balloon filled with hydrogen gas, which he chose because it was lighter than air. The balloon had a volume of 31 000 L when it was filled at a pressure of 755 mmHg and a temperature of 22 °C. When the balloon reached an altitude of 1000 m, the pressure was 658 mmHg and the temperature was -8 °C. What is the volume of the balloon at these conditions, if the amount of hydrogen remains the same?