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9 December, 16:35

The density of h2 gas in a rigid container is 0.135 g/l at a given temperature. what is the pressure of hydrogen in the flask if it is heated to 201 °c?

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  1. 9 December, 17:59
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    Let's assume that H₂ gas has ideal gas behavior.

    Then we can use ideal gas formula,

    PV = nRT

    Where,

    P = Pressure of the gas (Pa)

    V = Volume of the gas (m³)

    n = moles of the gas (mol)

    R = Universal gas constant (8.314 J K⁻¹ mol⁻¹)

    T = Temperature in Kelvin (K)

    But,

    n = m/M,

    Where m is mass of the gas (kg) and M is molar mass of the gas (kg/mol)

    Hence PV = mTR / M

    P = mTR / VM = (m/V) TR / M

    m/V = d (density (kg/m³)

    By rearranging,

    P = dRT / M

    d = 0.135 g/L = 0.135 kg/m³

    T = (273 + 201) K = 474 K

    M = 2 g/mol = 2 x 10⁻³ kg/mol

    From substitution,

    P = 0.135 kg/m³ x 8.314 J K⁻¹ mol⁻¹ x 474 K / 2 x 10⁻³ kg/mol

    P = 266006.43 Pa

    P = 266 kPa

    Hence the pressure of H₂ gas at 201⁰C is 266 kPa
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