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Question

The reaction between aluminium carbide and water takes place according to thefollowing equation:
Al4C3 + 12 H2O 3CH4 + 4Al(OH)3
Calculate the volume of methane measured at STP, released from 14.4 g of aluminium carbide by excess water.

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Solution

According to balance equation
Al4C3 + 12 H2O → 3CH4 + 4Al(OH)3
Molar mass of aluminium carbide is 144 g mol-1
Number of moles of Aluminium carbide = 14.4 g/ 144 g
mol-1
​ = 0.1 mol
​1 mol of aluminium carbide produce 3 moles of methane at STP.
1 mole = 22.4 L at STP
Therefore 3 mole = 3 x 22.4 L = 67.2 L of methane at STP​
Or 1 mole of Aluminium carbide produce 67.2 L of methane at STP
therefore 0.1 mol of Aluminium carbide will produce = 67.2 L/1 mol x 0.1 mol
= 6.72 L of methane

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