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A balloon carries a total load of 185 kg at normal pressure and temperature of 27°C. What load will the balloon carry on rising to a height at which the barometric pressure is 45 cm of Hg and temperature is −7°C. Assuming the volume of the balloon constant ?

1. 181.46 kg
2. 214.15 kg
3. 219.07 kg
4. 123.54 kg

Correct answer: 123.54 kg

Solution

The load a balloon can carry is affected by changes in temperature and pressure according to the ideal gas law. As the balloon rises, the decrease in pressure and temperature results in a lower density of the air outside the balloon, allowing it to carry less weight, which is calculated to be 123.54 kg.

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