Kindly find the note shared by Prof Savita Ladage (@savital ) on limiting reagent which will be useful for us to clarify the concept.
In sandwich example presented in the simulation- we started with the case where the product was defined and then at next level it allowed us to define product.
When sandwich was defined (e.g. two bread slice and 1 cheese slice together)
2\ bread\ slice + 1\ cheese\ slice = 1\ sandwich
If you have 4 bread slice and 2 cheese slice - the situation where both entities are multiplied by 2 - you will get only product and the concept of limiting is not valid for such case.
Now let us consider we have 4 bread slices and 3 cheese slices– how many sandwiches and any leftover? Which is limiting entity?
So the first entity is twice that of what is indicated in equation whereas the second entity is 3 thrice than that is indicated in the equation.
2\ bread\ slice + 1\ cheese\ slice = 1\ sandwich
First consider only bread slices and let us ask how $many sandwiches it can make? (Currently we are not paying attention to cheese slices.
Since we have 4 bread slices it is sufficient to make 2 sandwiches.
Now let us shift our attention to cheese slices
How many sandwiches will be obtained with 3 cheese slices – the answer is 3.
Now let us ask question - which entity is giving us minimum number of sandwiches? In other words- which is limiting the number of sandwiches?
The answer is entity is bread slices - So bread will be limiting reagent and it is totally consumed. So leftover is only cheese slices
Given the balanced chemical equation,
4NH_3 + 3O_2 ----> 2N_2 + 6H_2O
6NH_3 + 4O_2 ----> ?
Now if 6 molecules of NH_3 and 4 molecules of O_2 is given as reactants, what will be the number of molecules of the products and leftovers?
Which reactant will be limiting reagent in this case?
Again we have defined product and also proportion of each component of product
Now if 6 molecules of NH_3 - it can make how many entities on products in the proportion indicated?
We need to pick up 4 NH3 molecules each time. So by doing so we can make 2 molecules of N_2 + 6 molecules of H_2O. Now we have 2 NH_3 molecules which is not sufficient to make extra entities of product in the stated proportion (we are dealing with individual molecules here and thus fractional numbers cannot be considered)
Thus, if I have 6 NH_3 molecules- I can get 2 molecules of N_2 + 6 molecules of H_2O and 2 NH_3 molecules will be left over
Now let us look at O_2 molecules- by similar argument- once again we will get 2 molecules of N_2 + 6 molecules of H_2O and 1 O2 will be left over.
Which reactant is giving us less product? -In this situation, since both reactants are giving same number for products- for me- it is not possible to decide the limiting reagent. The limiting reagent needs to be consumed totally (please see the last para)
Now let us look at same equation but considering them as moles as in reality we deal with moles (mole is bunch of n entities and 1 mole of any substance has same fixed number of entities).
How the argument is then advanced?
4NH_3 + 3O_2 ----> 2N_2 + 6H_2O
4 moles of NH_3 will give 2 moles N_2 and 6 moles of H_2O
6 moles of NH_3 will give (6* 2)/4= 3 moles of N_2 and (6*6)/4=9 moles of H_2O
Now let us look at O_2
4 moles of O_2 will give (4*2)/3= 2.66 moles of N_2 (here fraction is allowed) and (6*4)/3=8 moles of H_2O
Which moles of reactants is giving you less moles of products?
The answer is Oxygen and thus oxygen will be limiting reagent. It will be consumed totally.
Those you are interested can read
https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Modules_and_Websites_(Inorganic_Chemistry)/Chemical_Reactions/Limiting_Reagents
I quote from the above link
“The limiting reagent is the reactant that is completely used up in a reaction, and thus determines when the reaction stops. From the reaction stoichiometry, the exact amount of reactant needed to react with another element can be calculated. If the reactants are not mixed in the correct stoichiometric proportions (as indicated by the balanced chemical equation), then one of the reactants will be entirely consumed while another will be left over. The limiting reagent is the one that is totally consumed; it limits the reaction from continuing because there is none left to react with the in-excess reactant.”
(https://chem.libretexts.org/ - those who are interested please explore this link)