JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
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 \(123.54\)
Answer & Solution
Correct Answer
(D) \(123.54\)
Step-by-step Solution
Detailed explanation
\(P{m}=\rho R T\) \(\therefore \frac{P_{1}}{P_{2}}=\frac{\rho_{1} T_{1}}{\rho_{2} T_{2}}\) \(\frac{\rho_{1}}{\rho_{2}} \Rightarrow \frac{P_{1} T_{2}}{P_{2} T_{1}}=\left(\frac{76}{45}\right) \times \frac{266}{300}\)…
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