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FISH0818 FISH0818
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Posts: 91
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11 years ago
Calculate the number of kilograms of helium needed to inflate a balloon to a volume of 100,000 L at an atmospheric pressure of 250.0 mmHg and a temperature of -35°C.
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wrote...
11 years ago
Use the gas equation to work out the moles of any ideal gas that you would need to fill this volume.

PV = nRT

P = pressure = 250.0 mmHg
V = volume = 100000 L
n = moles = ?
T = temp in Kelvin (always) = deg C + 273.15 = 238.15 K
R = gas constant which is different for different units of Pressure and volume and can be found here
http://en.wikipedia.org/wiki/Gas_constant
R = 62.36367 L mmHg mol^-1 K^-1

n = PV / RT
n = 250.0 mmHg x 100000 L  / 62.36367 x 238.15 K
n = 1683 moles

So you need 1683 moles of He (or any ideal gas) to fill the balloon

mass = molar mass x moles
mass He = 4.003 g/mol x 1683 mol
= 6738 g
= 6.738 kg (4 sig figs)
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