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29 January, 03:04

How many grams of h2 are needed to react completely with 44.1 grams of c? c + h2 yields ch4 be sure to balance the equation. 7.40 grams 14.7 grams 88.2 grams 132 grams?

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  1. 29 January, 04:26
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    Answer is 14.8 g. (according to the given choices, 14.7 g can be taken as the correct answer.)

    Explanation;

    The balanced reaction is

    C (s) + 2H₂ (g) → CH₄ (g)

    Moles (mol) = mass (g) / molar mass (g/mol)

    Mass of C = 44.1 g

    Molar mass of C = 12.01 g/mol

    Hence,

    moles of C = 44.1 g / 12.0 g / mol

    = 3.7 mol

    The stoichiometric ratio between C and H₂ is 1 : 2.

    Hence,

    moles of H₂ reacted = moles of C reacted x 2

    = 3.7 mol x 2

    = 7.4 mol

    Molar mass of H₂ = 2.0 g/mol

    Hence,

    mass of H₂ reacted = moles x molar mass

    = 7.4 mol x 2.0 g/mol

    = 14.8 g
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