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QUESTION 35

Phosphorus is one of several main nutrient elements required for the successful growth and development of plants.

A. State the electron configuration (spdf) of a neutral phosphorus atom. (1 mark)

B. Phosphorus is mainly obtained by plants through compounds that contain the phosphate ([tex]PO_4^{3-}[/tex]), hydrogen phosphate ([tex]HPO_4^{2-}[/tex]), and dihydrogen phosphate ([tex]H_2PO_4^{-}[/tex]) radical ions. Below is a Lewis diagram of a phosphate ion. Draw a Lewis diagram of the hydrogen phosphate ion. (3 marks)

C. A chemical compound used as a fertilizer is potassium dihydrogen phosphate ([tex]KH_2PO_4[/tex]).

(i) What is the molar mass (in grams per mole) of potassium dihydrogen phosphate? (1 mark)

(ii) What is the percentage composition of oxygen ([tex]O[/tex]) in potassium dihydrogen phosphate to 2 significant figures? (1 mark)

(iii) Determine the mass (in grams) of phosphorus in 150 g of potassium dihydrogen phosphate to 2 significant figures. (1 mark)


Sagot :

Certainly! Let's go through each part of the question step-by-step.

### A. Electron Configuration of a Neutral Phosphorus Atom

The atomic number of phosphorus is 15, indicating it has 15 electrons in a neutral state. The electron configuration of phosphorus is:

Electron Configuration:

[tex]\[ \text{1s}^2 \text{2s}^2 \text{2p}^6 \text{3s}^2 \text{3p}^3 \][/tex]

### B. Lewis Diagram of the Hydrogen Phosphate Ion (HPO₄²⁻)

To draw the Lewis structure of the hydrogen phosphate ion (HPO₄²⁻), follow these steps:

1. Central Atom: Place the phosphorus (P) atom in the center.
2. Bonding: Arrange one oxygen (O) atom to form a double bond and three other oxygen atoms to form single bonds with the phosphorus atom.
3. Hydrogen: Attach a hydrogen (H) atom to one of the single-bonded oxygen atoms (forming an OH group).
4. Charges: The ion should also show that two of the oxygens have a negative charge (since it's a 2- charge ion).

The Lewis structure is represented as:
- P is located at the center bonded with:
- One O via a double bond
- Two Os via single bonds (each carrying a negative charge)
- One OH group via a single bond

### C. Potassium Dihydrogen Phosphate (KH₂PO₄) Analysis

(i) Molar Mass

To determine the molar mass (molecular weight) of potassium dihydrogen phosphate (KH₂PO₄), sum the atomic masses of all elements in the compound:
- Potassium (K): 39.10 g/mol
- Hydrogen (H): 1.01 g/mol (since there are two hydrogen atoms, it’s [tex]\(2 \times 1.01\)[/tex])
- Phosphorus (P): 30.97 g/mol
- Oxygen (O): 16.00 g/mol (since there are four oxygen atoms, it’s [tex]\(4 \times 16.00\)[/tex])

[tex]\[ \text{Molar Mass of } \text{KH₂PO₄} = 39.10 + 2(1.01) + 30.97 + 4(16.00) = 136.09 \, \text{g/mol} \][/tex]

(ii) Percentage Composition of Oxygen

The percentage composition of oxygen in potassium dihydrogen phosphate (KH₂PO₄) is calculated using the total molar mass of the compound and the mass of oxygen present:

[tex]\[ \text{Total mass of Oxygen} = 4 \times 16.00 = 64.00 \, \text{g/mol} \][/tex]

[tex]\[ \text{Percentage of Oxygen} = \left( \frac{64.00}{136.09} \right) \times 100 \approx 47.03 \, \% \][/tex]

(iii) Mass of Phosphorus in 150 g of KH₂PO₄

Given 150 grams of potassium dihydrogen phosphate, calculate the mass of phosphorus:

[tex]\[ \text{Mass of Phosphorus in KH₂PO₄} = \left( \frac{30.97}{136.09} \right) \times 150 \approx 34.14 \, \text{g} \][/tex]

### Summary

1. Electron Configuration of Phosphorus:
[tex]\[ \text{1s}^2 \text{2s}^2 \text{2p}^6 \text{3s}^2 \text{3p}^3 \][/tex]

2. Lewis Diagram of Hydrogen Phosphate (HPO₄²⁻):
- Central P bonded with:
- One double-bonded O
- Two single-bonded Os with negative charges
- One single-bonded OH group

3. Potassium Dihydrogen Phosphate Analysis:
- Molar Mass: 136.09 g/mol
- Percentage of Oxygen: 47.03%
- Mass of Phosphorus in 150 g: 34.14 g