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30/12/2021 1:10 pm
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A balloon carries a total load of 185 kg at normal pressure and temperature of 27°C. What load with the balloon carry on rising to a height at which the barometer pressure is 45 cm of Hg and the temperature.
(a) 123.54 kg
(b) 219.07 kg
(c) 214.15 kg
(d) 181.46 kg
1 Answer
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30/12/2021 1:18 pm
Correct answer: (a) 123.54 kg
Explanation:
ρair gv = mg
ρair gv = m'g
ρair v = 185 kg
ρair \(\Big(\frac{P'}{P} \times \frac{\tau}{\tau'}\Big)\)V = m'
185\(\Big[\frac{45}{76}\times \frac{300}{266}\Big]\) = m'
⟹ m' = 123.54 kg