Question 359: Thermodynamics & KTG

Question

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
= $$ho$$RT
$$	herefore$$ $${{{P_1}} \over {{P_2}}} = {{{ho _1}{T_1}} \over {{ho _1}{T_2}}}$$
$${{{ho _1}} \over {{ho _2}}} \Rightarrow {{{P_1}{T_2}} \over {{P_2}{T_1}}} = \left( {{{76} \over {45}}} ight) 	imes {{266} \over {300}}$$
$${{{ho _1}} \over {{ho _2}}} \Rightarrow {{{M_1}} \over {{M_2}}} = {{76 	imes 266} \over {45 	imes 300}}$$
$$	herefore$$ $${M_2} \Rightarrow {{45 	imes 300 	imes 185} \over {76 	imes 266}} = 123.54$$ kg

Answer

181.46 kg

Answer

214.15 kg

Answer

219.07 kg

Answer

123.54 kg

Thermodynamics & KTG

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

Choose the correct answer: