For the reaction a + 3b is in equilibrium with 2c+d initial mole of a is twice that of b if at equilibrium of b and c are equal thenpercent of b reacted
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Here according the equation, 1 mole of A will combine with 3 mole of B and so if x mole of A is consumed then it will combine with 3x mole of B and similarly we can calculate the number of mole of C and D formed(according to their stoichiometric coefficient: just think about this stoichiometry : its very basic and important!!!!)
Now from the question given that, at equilibrium,
(a/2)-3x = 2x
a/2= 5x,
x=a/10
so amount of B reacted=3x=3a/10
Initial amount of B=a/2
so % of B reacted= {3a/10}/{a/2} *100
=6/10 *100=60%
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