How many grams of Carbon would be required to react with 16g of Hydrogen gas so as to form 64g of methane gas ?
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CH4 + 2 O2 → CO2 + 2 H2O
Molar mass of methane = 12+4×1 = 16 g/mol.
Molar mass of dioxygen = 2×16 = 32 g/mol.
Molar mass of carbon dioxide = 12+2×16 = 44 g/mol.
From the stoichiometric equation we get, mole ratio of methane and dioxygen = 1 : 2.
Therefore, mass ratio of methane : dioxygen = 16 : 2×32 = 16 : 64.
Given mass ratio of methane and dioxygen = 16 : 60.
It is found that, dioxygen is supplied less than required. So, dioxygen is the limiting reagent here.
Now, 64 g dioxygen produces 44 g CO2.
60 g dioxygen produces (44/64)×60 = 41.25 g.
So, the mass of resultant carbon dioxide = 41.25 g.
Mass of unreacted methane = 16 -(60/4) = 1.0 g.
Hope, this helps.
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