# Physics

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A rigid tank having a volume of 0.100 m3 contains helium gas at 150 atm. How many balloons can be inflated by opening the valve at the top of the tank? Each filled balloon is a sphere 0.300 m in diameter at an absolute pressure of 1.30 atm.

• Physics -

Divide the number of moles of He in the tank by the number of moles in each balloon.

Use the equation

n = PV/RT for each.

n(tank) = 150*(0.100)/(RT)
n(balloon) = 1.3*(pi/6)(0.3)^3/(RT)

n(tank)/n(balloon) = 15/[1.3*(pi/6)*(0.027)]

Do the numbers

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