After balancing this equation
Al(s) + NaOH(aq) + H₂O(l) ⇄ Na[Al(OH)₄](aq) + H₂(g),
it will look as
2Al(s)+2NaOH(aq)+6H₂O(l)⇌2Na[Al(OH)₄ ](aq)+3 H₂(g)
Balancing this equation
Al(s) + NaOH(aq) + H₂O(l) ⇄ Na[Al(OH)₄](aq) + H₂(g),
We have to balance the number of oxygen on H₂O.
Al(s)+NaOH(aq)+3 H₂O(l)⇌Na[Al(OH)₄ ](aq)+ H₂ (g)
We have to balance the number of H₂
Al(s)+NaOH(aq)+3 H₂O(l)⇌Na[Al(OH)₄ ](aq)+ 3/2H₂ (g)
For making coefficient whole we have to multiply whole by 2
2Al(s)+2NaOH(aq)+6H₂O(l)⇌2Na[Al(OH)₄ ](aq)+3 H₂(g)
The reaction quotient will be
Qc = [product] / [reactant]
Qc = [Na[Al(OH)4]]^2 [H2]^3 / [NaOH]^2
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