# What is the concentration of nitrogen atoms in this solution?A typical solid fertiliser for use with household plants and shrubs contains the elements N,P, and K in the ratio of 15g: 30g: 15g per...

What is the concentration of nitrogen atoms in this solution?

A typical solid fertiliser for use with household plants and shrubs contains the elements N,P, and K in the ratio of 15g: 30g: 15g per 100g of fertiliser. The recommended usage of fertiliser is 14g of fertiliser per 5dm^3 of water.

What is the concentration of nitrogen atoms in this solution?

[Relative atomic masses of N, P and K are 14.0, 31.0, 39.1 respectively]

jerichorayel | College Teacher | (Level 2) Senior Educator

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To solve this problem we need to have an idea about molarity. The concentration can be expressed as:

Molarity = moles/ L

1dm^3 = 1L

According to the ration given, there are 15 g or N atoms per 100 grams of Fertilizer. So the percent mass would be 15% N. Next, we have get the amount of nitrogen present in 14 grams  of fertilizer.

14 x (15/100) = 2.1 grams N

There are 2.1 grams of nitrogen atoms in 14 grams of fertilizer. Now we convert 2.1 grams of N to moles of N.

2.1 grams N x ( 1mole N / 14 grams N) = 0.15 moles N

Finally, we can get the concentration in Molarity.

Molarity = 0.15moles/5 dm^3

Molarity = 0.15 moles/dm^3 or moles/L