The balanced chemical reactions are
3NaOH + Al -> Al(OH)3 + 3Na
2NaOH + Co -> Co(OH)2 + 2Na
Total moles of NaOH reacted= volume × molarity
= 0.3969× 1.658
= 0.6580 moles
Let x moles of NaOH reacted with Al and y moles of NaOH reacted with Co.
Total mass of precipitate = 23.64 grams
Mass of Al(OH)3 produced = 78x/3 (by using the equation)
Mass of Co(OH)2 produced = 93y/2 ( using the equation)
As complete precipitation takes place so x+y= 0.658
And 78x/3 + 93y/2 = 23.64
Solving for x and y from the above 2 equations we get
x= 0.3394
y= 0.3186
So mass of Al in solution =( 0.3394/3) × 27 = 3.0545grams
Mass of Co = (0.3186/2) × 59= 9.3987 grams.
I hope this helps....
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