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15 July, 02:08

A ballon is filled with 30.0g of helium gas. What volume can be filled to a pressure of 1.15 atm if the temperature is 20.0°C?

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  1. 15 July, 03:45
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    156.7mL

    Explanation:

    First we need to find the number of mole of He. This can be achieved by doing the following:

    Mass of He from the question = 30g

    Molar Mass of He = 4g/mol

    Number of mole = Mass / Molar Mass

    Number of mole of He = 30/4

    Number of mole of He = 7.5moles

    Now, we can obtain the volume as follows:

    P = 1.15 atm

    T = 20°C = 20 + 273 = 293K

    R = 0.082atm. L/Kmol

    n = 7.5moles

    V = ?

    Recall: PV = nRT

    V = nRT/P

    V = (7.5 x 0.082 x 293) / 1.15

    V = 156.7mL

    Therefore, the volume that can be filled to that pressure is 156.7mL
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