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

Q: 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? (in ${kg}$)

d $P{m}=\rho R T$ $\therefore \frac{P_{1}}{P_{2}}=\frac{\rho_{1} T_{1}}{\rho_{2} T_{2}}$ $\frac{\rho_{1}}{\rho_{2}} \Rightarrow \frac{P_{1} T_{2}}{P_{2} T_{1}}=\left(\frac{76}{45}\right) \times \frac{266}{300}$ $\frac{\rho_{1}}{\rho_{2}} \Rightarrow \frac{M_{1}}{M_{2}}=\frac{76 \times 266}{45 \times 300}$ $\therefore M_{2} \Rightarrow \frac{45 \times 300 \times 185}{76 \times 266}=123.54 \,{kg}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

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? (in ${kg}$)

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

JEE MAIN 2021, Diffcult

STD 11 Science
JEE
STD 11 - 12 . kinetic theory of gases
Physics

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