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Problem 2 Solution

(a) 4689 atoms   (b) 475 atoms

Solution Steps for Part (a):

If a sample of ammonia contains 1563 nitrogen atoms, how much hydrogen is present?

Answer:

We know the ratio of nitrogen to hydrogen atoms is 1 : 3, so we can set up the proportion:

Where x is the (unknown) amount of hydrogen atoms.

Cross multiplying gives x = 1563 * 3 or x = 4689.


Solution Steps for Part (b):

If a sample contains 1425 hydrogen atoms, how much nitrogen is present?

Answer:

We know the ratio of nitrogen to hydrogen atoms is 1 : 3, so we can set up the proportion:
Where this time x is the (unknown) amount of nitrogen atoms.

Cross multiplying gives 1425 = 3 x or (dividing by 3 on a calculator) x = 475.


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