Evaluating the number of atoms of each element on the product and reactant side, we can conclude that the student's equation isn't balanced.
Given the chemical reaction :
[tex] Al_{4}C_{3} + 6H_{2}O ---> 3CH_{4} + 4Al(OH)_{3} [/tex]
For a balanced equation, the number of atoms of each element in the product side must be equal to that on the reactant side.
Number of hydrogen :
Reactant side = (6 × 2) = 12
Product side = (6 × 2) + (6 × 2) = 12 + 24 = 24
Product side ≠ reactant side ; Hence, the equation isn't balanced
The balanced equation for the reaction goes thus :
[tex] Al_{4}C_{3} + 12H_{2}O ---> 3CH_{4} + 4Al(OH)_{3} [/tex]
Reactant side :
Al = 4
H = (12 × 2) = 24
O = 12
C = 3
Product side :
H = (6 × 2) + (6 × 2) = 12 + 24 = 24
Al = 4
O = 4 × 3 = 12
C = 3
Therefore, the student's equation isn't balanced, the balanced version of the equation has been given .
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