One of the inlet streams to the reactor contains 95% nitrogen and the balance helium, on a molar basis, and flows at a rate of 200 lbmol/hr. a second stream of pure hydrogen (density = 0.08 lbm/ft3) enters the reactor at a rate of 80,000 ft3/hr. a single stream leaves the reactor. if all of the nitrogen is converted in the reaction, what is the molar flow rate of hydrogen in the exiting stream?

h let me think

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

the correct answer to this question is 2