QJEEM21Ph1178: JEE Main 2021 Physics - Class 11 JEEM21Ph1178 Solution: A balloon carries a total load of 185 kg at normal pressure and …

Question

Verified Solution • 2025–26 Session moderate

A balloon carries a total load of 185 kg 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 45 cm of Hg and the temperature is

-

7

^\circ

C. Assuming the volume constant?

Accepted Answer

P_m =

\rho

RT

\therefore

{{{P_1}} \over {{P_2}}} = {{{\rho _1}{T_1}} \over {{\rho _1}{T_2}}}

{{{\rho _1}} \over {{\rho _2}}} \Rightarrow {{{P_1}{T_2}} \over {{P_2}{T_1}}} = \left( {{{76} \over {45}}} \right) \times {{266} \over {300}}

{{{\rho _1}} \over {{\rho _2}}} \Rightarrow {{{M_1}} \over {{M_2}}} = {{76 \times 266} \over {45 \times 300}}

\therefore

{M_2} \Rightarrow {{45 \times 300 \times 185} \over {76 \times 266}} = 123.54

kg

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