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?

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