Question

Type the correct answer in the box. Express your answer to three significant figures.

Calcium nitrate reacts with sodium phosphate to form sodium nitrate and calcium phosphate. Given 96.1 grams of calcium nitrate, what’s the theoretical yield of calcium phosphate? Use the periodic table and the polyatomic ion resource.

The mass of calcium phosphate the reaction can produce is
grams.

Answer 1

The mass of calcium phosphate produced is 60.5 grams

Explanation:

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$      ......(1)

Given mass of calcium nitrate = 96.1 g

Molar mass of calcium nitrate = 164 g/mol

Putting values in equation 1, we get:

$\text{Moles of calcium nitrate}=\frac{96.1g}{164g/mol}=0.586mol$

The chemical equation for the reaction of calcium nitrate and sodium phosphate follows:

$3Ca(NO_3)_2+2Na_3PO_4\rightarrow Ca_3(PO_4)_2+6NaNO_3$

By Stoichiometry of the reaction:

3 moles of calcium nitrate produces 1 mole of calcium phosphate

So, 0.586 moles of calcium nitrate will produce = $\frac{1}{3}\times 0.586=0.195mol$ of calcium phosphate

Now, calculating the mass of calcium phosphate from equation 1, we get:

Molar mass of calcium phosphate = 310.2 g/mol

Moles of calcium phosphate = 0.195 moles

Putting values in equation 1, we get:

$0.195mol=\frac{\text{Mass of calcium phosphate}}{310.2g/mol}\\\\\text{Mass of calcium phosphate}=(0.195mol\times 310.2g/mol)=60.5g$

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