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7 December, 10:31

A balloon is inflated with 0.2494g of helium to a pressure of 1.26atm. If the desired volume of the balloon is 1.250L, what must the temperature be in ⁰C?

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  1. 7 December, 10:38
    0
    307.80K

    Explanation:

    Mass = 0.2494g

    Pressure = 1.26atm

    Volume = 1.25L

    Temperature (T) = ?

    Molar mass of He = 4.0g/mol

    To solve this question, we'll have to use ideal gas equation which is

    PV = nRT

    P = pressure of the gas

    V = volume which the gas occupies

    n = number of moles of the gas

    R = ideal gas constant = 0.082J/mol. K

    T = temperature of the ideal gas

    n = number of moles = mass / molarmass

    n = 0.2495 / 4.0

    n = 0.0624moles

    PV = nRT

    T = PV / nR

    T = (1.26 * 1.25) / (0.0624 * 0.082)

    T = 1.575 / 0.0051168

    T = 307.80K

    The temperature of the gas is 307.80K
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