Answer:
65 L
Explanation:
It is assumed that the temperature is constant at both the sea level and the altitude.
<em>According to the gas law, at constant temperature, the pressure of a gas is inversely proportional to its volume.</em> Mathematically:
P1V1 = P2V2 where P1 = pressure at initial volume, V1 = volume at initial pressure, P2 = pressure at final volume, and V2 = volume at final pressure.
In the illustration, V1 = 15 L, P1 = 100 kPa, V2 =?, P2 = 23 kPa
V2 = P1V1/P2 = 100 x 15/23 = 65.22 L
<u>The volume of the hot air balloon at the altitude would be 65 L</u>
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