Three (3) brine solutions B1, B2, and B3 are mixed. B1 is one-half of this mixture (one-half of mixture mass, not volume). Brine B1 is 2.5% salt, B2 is 4.5% salt and B3 is 5.5% salt. To this mixture is added 35 lbm of dry salt, while 230 lbm of water is evaporated leaving 3200 lbm of 5.1% brine. Determine the amounts (in lbm) of B1, B2, and B3.

as given the equation is

2al + 6 hcl > 2 alcl3 + 3 h2(g)

as per equation two moles of aluminum reacts with six moles of hcl to give two moles of alcl3 and three moles of hydrogen gas

given: three moles of al are present and 7 moles of hcl

for three moles of aluminum nine moles of hcl will be required

however as 7 moles of hcl are present so the limiting reagent is hcl

hcl is going to decide the number of moles of product formed

when six moles of hcl are present = 3 moles of h2 are formed

when one mole of hcl is present == 3/6 mole sof h2 will be formed

when 7 moles of hcl are present = 3 x 7/ 6 moles of h2 will be formed = 3.5 moles of h2