Question 16 of 168

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

A$214.15kg$B$123.54kg$C$219.07kg$D$181.46kg$

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Answer: (B) $123.54kg$

${\rho }_{air}=gv=mg$
${\rho }_{air}=V=185kg$

${\rho }_{air}gv=m'g$
${\rho }_{air}\left(\dfrac{{P}^{'}}{P}\times \dfrac{T}{{T}^{'}}\right)V={m}^{'}$
$185\left[\dfrac{45}{76}\times \dfrac{300}{266}\right]={m}^{'}$
$m’=123.54kg$