Answer

Verified

428.4k+ views

**Hint:**To determine the highest percentage of nitrogen in the given fertilizers we will apply the concept of percentage composition. We calculate the percentage composition of an element by dividing the mass of the single element of the compound to the total mass of the compound and then multiplying it by $100$ .

**Formula used:**$\% of(N)$ $ = \dfrac{{M.W.of(N)}}{{M.W.of(Compound)}} \times 100$$ ,$where $M.W.$ means molecular weight.

**Complete step-by-step answer:**1. Ammonium sulphate:

We know the molecular formula of ammonium sulphate is ${(N{H_4})_2}S{O_4}$ so to determine the percentage of nitrogen we need to find the molecular weight of nitrogen and also of the compound.

So, molecular weight of nitrogen $ = 14 \times 2 = 28$, $14$ is multiplied by two as two molecules of nitrogen are present.

Molecular weight of the compound$ = 132$

Putting the values in the formula $\% of(N)$$ = \dfrac{{M.W.of(N)}}{{M.W.of(Compound)}} \times 100$ we get:

$\dfrac{{28}}{{32}} \times 100 = 21.2\% $ , hence percentage of nitrogen in ammonium sulphate is $21.2\% $

2. $CAN$: Calcium ammonium nitrate:

The molecular formula of $CAN$ will be $Ca{H_4}{N_4}{O_9}$ , so in order to find the percentage of nitrogen we will determine the molecular weight of nitrogen in this compound. Also, we will find the molecular weight of the whole compound.

So, the molecular weight of nitrogen $ = 14 \times 4 = 56$, $14$ is multiplied by $4$ as $4$ molecules of nitrogen are present.

Molecular weight of the compound $ = 244$

Putting the values in the formula $\% of(N)$$ = \dfrac{{M.W.of(N)}}{{M.W.of(Compound)}} \times 100$ we get:

$\dfrac{{56}}{{244}} \times 100 = 22.9\% $ , hence percentage of nitrogen in $CAN$ is $22.9\% $

3. Urea:

The molecular formula for urea will be $N{H_2}CON{H_2}$ , so in order to find the percentage of nitrogen we will determine the molecular weight of nitrogen in this compound. Also, we will find the molecular weight of the whole compound.

So, the molecular weight of nitrogen $ = 14 \times 2 = 28$ ,$14$ is multiplied by two as two molecules of nitrogen are present.

Molecular weight of the compound $ = 60$

Putting the values in the formula $\% of(N)$$ = \dfrac{{M.W.of(N)}}{{M.W.of(Compound)}} \times 100$ we get:

$\dfrac{{28}}{{60}} \times 100 = 46.6\% $ , hence urea contains $46.6\% $ of nitrogen in it.

4. Calcium cyanamide:

The molecular formula for calcium cyanamide will be $CaC{N_2}$ , so in order to find the percentage of nitrogen we will determine the molecular weight of nitrogen in this compound. Also, we will find the molecular weight of the whole compound.

So, the molecular weight of nitrogen $ = 14 \times 2 = 28$ ,$14$ is multiplied by two as two molecules of nitrogen are present.

Molecular weight of the compound $ = 80$

Putting the values in the formula $\% of(N)$$ = \dfrac{{M.W.of(N)}}{{M.W.of(Compound)}} \times 100$ we get:

$\dfrac{{28}}{{80}} \times 100 = 35\% $ , hence the percentage of nitrogen in calcium cyanamide is $35\% $

From the above calculations we clearly see that the highest percentage of nitrogen is present in urea.

**So, the correct answer is Option(C).**

**Note:**To find the molecular weight of the compound we will add all the elements present in the compound and multiply each element with the number of atoms present in it. For example, in urea i.e. $N{H_2}CON{H_2}$ the molecular weight $ = 14 + 2 + 12 + 16 + 14 + 2 = 60$. Here $N = 14,H = 1 \times 2,C = 12,O = 16$ , hydrogen is multiplied by two as the compound contains two atoms of hydrogen, so the total number of hydrogen present will be $4$.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

What percentage of the solar systems mass is found class 8 physics CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

How do you graph the function fx 4x class 9 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE