Question

. Calculate the number of moles, the number of formula units and the molarity of the solution that results from dissolving 30 grams of sulfuric acid in 800 milliliters of water.

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Answer to a math question . Calculate the number of moles, the number of formula units and the molarity of the solution that results from dissolving 30 grams of sulfuric acid in 800 milliliters of water.

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Dexter
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101 Answers
1. **Find the number of moles of sulfuric acid (\text{H}_2\text{SO}_4).**

- Molar mass of \text{H}_2\text{SO}_4:

2 \times \text{H} + 1 \times \text{S} + 4 \times \text{O} = 2(1.01) + 32.07 + 4(16.00) = 98.09 \, \text{g/mol}

- Number of moles:

\frac{30 \, \text{g}}{98.09 \, \text{g/mol}} = 0.306 \, \text{mol}

2. **Calculate the number of formula units.**

- Avogadro's number: 6.022 \times 10^{23} \, \text{units/mol}

- Number of formula units:

0.306 \, \text{mol} \times 6.022 \times 10^{23} \, \text{units/mol} = 1.84 \times 10^{23} \, \text{formula units}

3. **Determine the molarity of the solution.**

- Convert volume from milliliters to liters:

800 \, \text{mL} = 0.800 \, \text{L}

- Calculate the molarity:

\frac{0.306 \, \text{mol}}{0.800 \, \text{L}} = 0.382 \, \text{M}

4. **Answer:**

- Number of moles: 0.306 \, \text{mol}
- Number of formula units: 1.84 \times 10^{23}
- Molarity: 0.382 \, \text{M}

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