J.R. S. answered 05/09/21
Ph.D. University Professor with 10+ years Tutoring Experience
Your answers seems to be INCORRECT.
Looking at the balanced equation Al4C3 + 12H2O ==> 4Al(OH)3 + 3CH4
and using dimensional analysis, we see that...
0.469 moles CH4 x 4 mols Al(OH)3 / 3 mols CH4 = 0.625 mols Al(OH)3 will be produced (Answer b)