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  • Calculating Mole Fractions: NO and CH4 in a Mixture
    To solve this, we need to find the molar mass of the mixture and then use that to find the number of moles of each gas.

    Given :

    Mass of the mixture = 17 grams

    Moles of the mixture = 0.8 moles

    1. Molar mass of the mixture

    Molar mass = (Mass of the mixture) / (Moles of the mixture)

    Molar mass = 17 / 0.8

    Molar mass = 21.25 g/mol

    2. Number of moles of CH4 in the mixture

    Let's assume that the number of moles of CH4 in the mixture is x moles. Then, the number of moles of NO in the mixture is (0.8 - x) moles.

    Mass of CH4 = (Number of moles of CH4) × (Molar mass of CH4)

    Mass of CH4 = x × 16 g/mol

    Mass of NO = (Number of moles of NO) × (Molar mass of NO)

    Mass of NO = (0.8 - x) × 30 g/mol

    The total mass of the mixture is the sum of the masses of CH4 and NO.

    17 = 16x + 30(0.8 -x)

    = 16x+ 24 - 30x

    = -14x + 24 =0

    = 14x =24

    = x= 24/14

    x = 1.714 moles.

    _Therefore, the number of moles of CH4 in the mixture is 1.714 moles, which is greater than 0.8 moles._

    3. Mass of CH4 in the mixture

    Mass of CH4 = (Number of moles of CH4) × (Molar mass of CH4)

    Mass of CH4 = 1.714 × 16 g/mol

    Mass of CH4 = 27.424 grams .

    Therefore, the mass of CH4 in the mixture is 27.424 grams, which is greater than 8 grams.

    4. Number of moles of NO in the mix is

    Number of moles of NO = (0.8 - x)

    = 0.8 - 1.714

    = -0.914

    _NO moles are negative, which means it's not physically possible_.

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