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23 October, 05:28

How much helium gas would it take to fill a gas balloon with a volume of 11:0 cm3 when the temperature is 41.0◦c and the atmospheric pressure is 790 mm hg? answer in units of mol?

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  1. 23 October, 05:41
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    Temperature in Kelvin = 41+273 = 314K

    Volume in liter = 11/1000 = 0.011L

    Pressure in atmosphere = 790 mmhg = 1atm

    Gas constant (R) = 0.082 L-atm-K⁻¹-mol⁻¹

    Using ideal gas law equation,

    PV=nRT

    1*0.011 = n*0.082*314

    n = 0.011/0.082*314

    n = 4.27*10⁻⁴ moles.

    ∴ mass of helium gas required = n*4 = 4.27*10⁻⁵*4 = 1.708*10⁻⁴ gram.
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