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 Hâ‚‚ is 1 : 2.
Hence,
moles of Hâ‚‚ reacted = moles of C reacted x 2
= 3.7 mol x 2
= 7.4 mol
Molar mass of Hâ‚‚ = 2.0 g/mol
Hence,
mass of Hâ‚‚ reacted = moles x molar mass
= 7.4 mol x 2.0 g/mol
= 14.8 g
