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JEE Main 202127 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2021 · 27 August · Morning Shift · Physics · Kinetic Theory of Gases

A balloon carries a total load of 185kg at normal pressure and...

A balloon carries a total load of 185kg185kg at normal pressure and temperature of 27°C.27 ° C . What load will the balloon carry on rising to a height at which the barometric pressure is 45cm45cm of HgHg and the temperature is −7°C.- 7 ° C . Assuming the volume constant?A balloon carries a total load of 185kg at normal pressure and temperature of 27 ° C . What load will the balloon carryA balloon carries a total load of 185kg at normal pressure and temperature of 27 ° C . What load will the balloon carry

Options

  1. A214.15kg214 . 15kg
  2. B123.54kg123 . 54kg
  3. C219.07kg219 . 07kg
  4. D181.46kg181 . 46kg

Correct answer

B. 123.54kg123 . 54kg

Step-by-step solution

A balloon carries a total load of 185kg at normal pressure and temperature of 27 ° C . What load will the balloon carry

ρair=gv=mg{ρ}_{air} = gv = mg

ρair=V=185kg{ρ}_{air} = V = 185kg

A balloon carries a total load of 185kg at normal pressure and temperature of 27 ° C . What load will the balloon carry

ρairgv=m′g{ρ}_{air}gv = m ' g

ρair(P′P×TT′)V=m′{ρ}_{air}\left(\dfrac{{P}^{'}}{P} \times \dfrac{T}{{T}^{'}}\right)V = {m}^{'}

185[4576×300266]=m′185\left[\dfrac{45}{76} \times \dfrac{300}{266}\right] = {m}^{'}

m’=123.54kgm ’ = 123 . 54kg

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