A balloon carries a total load of 185 kg at normal pressure and a 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 the temperature is -7°C, assuming the volume stays constant?

Question

Accepted Answer

(2) 123.54 kg. The balloon's volume is fixed, so the load it can carry scales with the density of the surrounding air, and ρ=(PM)/(RT). (ρ₂)/(ρ₁)=(P₂)/(P₁)×(T₁)/(T₂)=(45)/(76)×(300)/(266)=0.592×1.128=0.668. Load =185×0.668=123.5 kg.

A balloon carries a total load of 185 kg at normal pressure and a 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 the temperature is -7°C, assuming the volume stays constant?

Step-by-step solution

Why the other options are wrong