3. Lithium sulfate reacts with potassium phosphate as part of a double displacement reaction. If 0.8743 moles of potassium phosphate react how many grams of lithium sulfate reacted?

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1. Write the balanced chemical equation for the double displacement reaction.  
   The reactants are lithium sulfate, $$ \text{Li}_2\text{SO}_4 $$, and potassium phosphate, $$ \text{K}_3\text{PO}_4 $$. The products are lithium phosphate, $$ \text{Li}_3\text{PO}_4 $$, and potassium sulfate, $$ \text{K}_2\text{SO}_4 $$.  
   Balancing the equation, we have:  
   $$
   3\,\text{Li}_2\text{SO}_4 + 2\,\text{K}_3\text{PO}_4 \rightarrow 2\,\text{Li}_3\text{PO}_4 + 3\,\text{K}_2\text{SO}_4
   $$

2. Use the mole ratio from the balanced equation.  
   From the equation, $$2$$ moles of $$\text{K}_3\text{PO}_4$$ react with $$3$$ moles of $$\text{Li}_2\text{SO}_4$$. Thus, the mole ratio is:  
   $$
   \frac{3\, \text{mol}\,\text{Li}_2\text{SO}_4}{2\, \text{mol}\,\text{K}_3\text{PO}_4}
   $$

3. Determine the moles of $$\text{Li}_2\text{SO}_4$$ that reacted.  
   Given $$0.8743$$ moles of $$\text{K}_3\text{PO}_4$$, the moles of lithium sulfate are:  
   $$
   0.8743\, \text{mol}\,\text{K}_3\text{PO}_4 \times \frac{3\, \text{mol}\,\text{Li}_2\text{SO}_4}{2\, \text{mol}\,\text{K}_3\text{PO}_4} = 1.31145\, \text{mol}\,\text{Li}_2\text{SO}_4
   $$

4. Calculate the molar mass of $$\text{Li}_2\text{SO}_4$$.  
   Using approximate atomic masses:  
   - Lithium, $$\text{Li}$$: $$6.94\, \text{g/mol}$$  
   - Sulfur, $$\text{S}$$: $$32.06\, \text{g/mol}$$  
   - Oxygen, $$\text{O}$$: $$16.00\, \text{g/mol}$$  
   The molar mass of $$\text{Li}_2\text{SO}_4$$ is:  
   $$
   (2 \times 6.94) + 32.06 + (4 \times 16.00) = 13.88 + 32.06 + 64.00 = 109.94\, \text{g/mol}
   $$

5. Convert the moles of $$\text{Li}_2\text{SO}_4$$ to grams.  
   Using the molar mass calculated:  
   $$
   1.31145\, \text{mol}\,\text{Li}_2\text{SO}_4 \times 109.94\, \text{g/mol} \approx 144.1\, \text{g}
   $$

Thus, approximately $$144.1$$ grams of lithium sulfate reacted.
Approximately 144.1 grams of lithium sulfate reacted.

Lithium sulfate reacts with potassium phosphate as part of a double displacement
reaction. If 0.8743 moles of potassium phosphate react how many grams of lithium
sulfate reacted?

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