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17 January, 02:46

Type the correct answer in the box. Express your answer to three significant figures. A balloon is filled with 0.250 mole of air at 35°C. If the volume of the balloon is 6.23 liters, what is the absolute pressure of the air in the balloon? The absolute pressure of the air in the balloon is kilopascals.

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  1. 17 January, 03:02
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    102.8 kPa.

    Explanation:

    We can use the general law of ideal gas: PV = nRT.

    where, P is the pressure of the gas in atm (P = ? atm).

    V is the volume of the gas in L (V = 4000 mL = 6.23 L).

    n is the no. of moles of the gas in mol (n = 0.25 mol).

    R is the general gas constant (R = 0.0821 L. atm/mol. K),

    T is the temperature of the gas in K (T = 35ºC + 273 = 308 K).

    ∴ P = nRT/V = (0.25 mol) (0.0821 L. atm/mol. K) (308 K) / (6.23 L) = 1.015 atm.

    To convert to kPa:

    multiply the pressure value by 101.325

    ∴ P = (1.0 atm) (101.325 kPa/1.0 atm) = 102.8 kPa.
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