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18 October, 05:31

For a 1.45L bicycle tire, the manufacturer recommends a total pressure of 8.80atm*. How many moles of gas would fill the tire to the recommended pressure at 28.00∘C? Assume ideal gas behavior.

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  1. 18 October, 08:32
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    n = 0.52 mol

    Explanation:

    Given dа ta:

    Volume of tire = 1.45 L

    Temperature = 28 °C (28+273 = 301 K)

    Pressure of gas = 8.80 atm

    Moles of gas present = ?

    Solution:

    Formula:

    PV = nRT

    P = Pressure

    V = volume

    n = number of moles

    R = ideal gas constant

    T = temperature

    Now we will put the values:

    Ideal gas constant = R = 0.021 atm. L/mol. K

    8.80 atm * 1.45 L = n * 0.0821 atm. L/mol. K * 301 K

    12.76 atm. L = n * 24.7 atm. L/mol

    12.76 atm. L / 24.7 atm. L/mol = n

    n = 0.52 mol
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