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31 March, 09:43

Assuming ideal behavior, which of these gas samples has the greatest volume at stp? assuming ideal behavior, which of these gas samples has the greatest volume at stp? 1 g of o2 1 g of h2 1 g of ar

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  1. 31 March, 10:07
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    Data Given:

    Temperature = 273 K

    Pressure = 1 atm

    Mole of O₂ = 1 g / 32 g. mol⁻¹ = 0.03125 mol

    Mole of H₂ = 1 g / 2.016 g. mol⁻¹ = 0.0496 mol

    Mole of Ar = 1 g / 39.94 g. mol⁻¹ = 0.025 mol

    Solution:

    As Ideal Gas Equation is given as,

    P V = n R T

    Solving for V,

    V = n R T / P

    Solving for O₂;

    V = (0.03125 mol * 0.08205 atm. L. mol⁻¹. K⁻¹ * 273 K) : 1 atm

    V = 0.699 L

    Solving for H₂;

    V = (0.0496 mol * 0.08205 atm. L. mol⁻¹. K⁻¹ * 273 K) : 1 atm

    V = 1.11 L

    Solving for Ar;

    V = (0.025 mol * 0.08205 atm. L. mol⁻¹. K⁻¹ * 273 K) : 1 atm

    V = 0.55 L

    Result:

    The correct answer is H₂. 1 g of H₂ occupies more volume as compare to 1 g of O₂ and 1 g of Ar.
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