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Joyce combines 9 atoms of hydrogen and 3 atoms of nitrogen to make 3 molecules of...

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Joyce combines 9 atoms of hydrogen and 3 atoms of nitrogen to make 3 molecules of ammonia. 

Write a direcand t variation equation that relates atoms of hydrogen, H, to atoms of nitrogen, N how many nitrogen atoms does Joyce need to form ammonia molecules using 51 hydrogen atoms.

I've seen this question and I was curious who can figure it out. I'm new here so can anyone tell me how this work thanks. 

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`N+3H = NH_3`

 

So here we need 3H atoms and 1N atom to produce 1`NH_3` molecule.

If n denotes atoms we can say the direct relationship of H and N as;

`1n_N = 3n_H`

 

Using the above equation to make 51 H we need to to multiply the equation by 17.

`17(1n_N) = 17(3n_H)`

`17n_N = 51n_H`

 

So we need 17 Nitrogen atoms.

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