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Chapter 9: Problem 69

Consider sulfuric acid, \(\mathrm{H}_{2} \mathrm{SO}_{4}\), used in car batteries. (a) What is the molar mass of sulfuric acid? (b) What is the mass in grams of 1 mole of \(\mathrm{H}_{2} \mathrm{SO}_{4} ?\) (c) What is the mass in grams of \(2.50\) moles of \(\mathrm{H}_{2} \mathrm{SO}_{4} ?\) (d) What is the mass in grams of 1000 molecules of \(\mathrm{H}_{2} \mathrm{SO}_{4} ?\) (Hint: Start by writing \({ }^{\prime \prime} 1000\) molecules \(\mathrm{H}_{2} \mathrm{SO}_{4}^{\prime \prime}\) and then apply conversior factors. Remember our admonition: If in doubt, convert to moles.)

Short Answer

Expert verified
The molar mass of sulfuric acid (H₂SO₄) is 98 g/mol. The mass of 1 mole of H₂SO₄ is 98 g, and the mass of 2.5 moles is 245 g. The mass of 1000 molecules of H₂SO₄ is approximately \(1.63 \times 10^{-19}\) g.

Step by step solution

01

Find the molar mass of sulfuric acid (H₂SO₄)

To find the molar mass of H₂SO₄, we need to first identify the atomic masses of hydrogen (H), sulfur (S), and oxygen (O) using the periodic table. The atomic masses are approximately: - Hydrogen (H): 1 g/mol - Sulfur (S): 32 g/mol - Oxygen (O): 16 g/mol Now we can calculate the molar mass of H₂SO₄ as follows: Molar mass of H₂SO₄ = (2 × atomic mass of H) + (1 × atomic mass of S) + (4 × atomic mass of O)
02

Calculate the molar mass of H₂SO₄

Use the atomic masses found in Step 1 to calculate the molar mass of H₂SO₄: Molar mass of H₂SO₄ = (2 × 1 g/mol) + (1 × 32 g/mol) + (4 × 16 g/mol) \(=\) 2 g/mol + 32 g/mol + 64 g/mol \(=\) 98 g/mol The molar mass of H₂SO₄ is 98 g/mol.
03

Calculate the mass of 1 mole and 2.5 moles of H₂SO₄

We can use the molar mass calculated in Step 2 to find the mass of 1 mole and 2.5 moles of H₂SO₄. a) For 1 mole of H₂SO₄: Mass = (molar mass) × (number of moles) Mass = 98 g/mol × 1 mol = 98 g b) For 2.5 moles of H₂SO₄: Mass = (molar mass) × (number of moles) Mass = 98 g/mol × 2.5 mol = 245 g
04

Calculate the mass of 1000 molecules of H₂SO₄

To calculate the mass of 1000 molecules of H₂SO₄, we first need to convert the number of molecules to moles: Number of moles = (number of molecules) / (Avogadro's number) Number of moles = 1000 molecules / \(6.022 \times 10^{23}\) molecules/mol = \(1.66 \times 10^{-21}\) mol Now we can use the molar mass to find the mass: Mass = (molar mass) × (number of moles) Mass = 98 g/mol × \(1.66 \times 10^{-21}\) mol ≈ \(1.63 \times 10^{-19}\) g So, the mass of 1000 molecules of H₂SO₄ is approximately \(1.63 \times 10^{-19}\) g.

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Most popular questions from this chapter

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