What is the mass percent of nitrogen in the dyeing agent, picric acid (#C_6H_3N_3O_7#)?

The molar mass of #C=12.01, H = 1.0079, N = 14.01# and #O = 16.003#.

Answer 1

#"18.34% N"#

A compound's percent composition tells you how many grams of each constituent element you per per #"100 g"# of compound.
In your case, the mass percent of nitrogen will tell you how many grams of nitrogen you get in #"100 g"# of picric acid.

Now note that the problem gives you the molar masses of the three components of picric acid, so you can calculate the mass of one mole of picric acid using the compound's chemical formula.

One mole of picric acid, as you can see, contains

Thus, one mole of acid will have a mass of

#6 xx "12.01 g mol"^(-1) + 3 xx "1.0079 g mol"^(-1) + 3 xx "14.01 g mol"^(-1) + 7 xx "16.003 g mol"^(-1) = "229.13 g mol"^(-1)#
So, if one mole of acid has a mass of #"229.13 g"#, and it contains three moles of nitrogen, it follows that the mass percent of nitrogen in picric acid will be
#( 3 xx 14.01 color(red)(cancel(color(black)("g"))))/(229.13color(red)(cancel(color(black)("g")))) xx 100 = color(green)(|bar(ul(color(white)(a/a)"18.34% N"color(white)(a/a)|)))#
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Answer 2

The molar mass of nitrogen in picric acid (C6H3N3O7) is 14.01 g/mol. The molar mass of the compound as a whole is 229.10 g/mol. The molar mass contributed by nitrogen in the compound is (3 * 14.01 g/mol). Finally, divide the molar mass contributed by nitrogen by the molar mass of the entire compound and multiply by 100 to get the mass percent of nitrogen. As a result, the mass percent of nitrogen in picric acid is roughly 18.29%.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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