Bacterial pathogens are grown in devices using a developed to optimize the yield of the antigen while maintaining it's integrity.

growth medium

Explanation:

The pathogenic bacteria are the bacteria which causes diseases. They may include fungi, worms, protozoa, viruses, bacteria, etc.

The bacterial pathogens are made to grow with the help of a growth medium which is developed to optimize the antigen's yield and also it maintains the integrity of the pathogenic bacteria.

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