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JEE Main202127 Aug 2021Morning ShiftPhysicsKinetic Theory of GasesActual

A balloon carries a total load of 185 kg at normal pressure and temperature of 27 ° 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 ° C . Assuming the volume constant?

Options

  1. A214 . 15   kg
  2. B123 . 54   kg
  3. C219 . 07   kg
  4. D181 . 46   kg

Correct answer

B. 123 . 54   kg

Step-by-step solution

ρ air = g v = m g ρ air = V = 185   kg ρ air g v = m ' g ρ a i r P ' P × T T ' V = m ' 185 45 76 × 300 266 = m ' m ’   = 123 . 54   kg

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