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15 August, 18:53

The natural gas in a 30-L NGV fuel tank has a pressure of 2.05 * 10^4 kPa at a temperature of 297 K. How many kilograms of fuel are in the tank

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  1. 15 August, 21:48
    0
    4727.2 * 10³ Kg

    Explanation:

    Given dа ta:

    Pressure of gas = 2.05 * 10⁴ KPa (202.32 atm)

    Temperature = 297 K

    Volume = 30 L

    Mass of fuel = ?

    Solution:

    Molar mass of gas is missing. It is 19 g/mol.

    Formula:

    PV = nRT

    n = PV/RT

    n = 202.32 atm * 30 L / 0.0821 atm. L. mol⁻¹. k⁻¹ * 297 K

    n = 6069.6 atm. L / 24.4 atm. L. mol⁻¹

    n = 248.8 mol

    Mass:

    Number of moles = mass / molar mass

    Mass = number of moles * molar mass

    Mass = 248.8 mol * 19 g/mol

    Mass = 4727.2 g

    In kilogram:

    4727.2 g / 1 g * 1000 Kg

    4727.2 * 10³ Kg
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