A balloon carries a total load of 185 kg of normal pressure and temperature of 27°C. What load with the balloon carry on rising to a height at which the barometer pressure is 45cm of Hg and the temperature.

Option 1 -

219.07 kg

Option 2 -

214.15 kg

Option 3 -

181.46 kg

Option 4 -

123.54 kg

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1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

a month ago

Correct Option - 4

Detailed Solution:

$P = ρ R T$

$\Rightarrow \frac{ρ_{1}}{ρ_{2}} = \frac{P_{1}}{P_{2}} \times \frac{T_{2}}{T_{1}} = \frac{76}{45} \times \frac{260}{300}$

$\Rightarrow \frac{ρ_{1}}{ρ_{2}} = \frac{M_{1}}{M_{2}}$

$\Rightarrow M_{2} = \frac{45 \times 300 \times 185}{76 \times 266} = 123.54 k g$

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