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Chapter 1: Problem 36

Calculate the total number of atoms present in \(0.49\) grams of \(\mathrm{H}_{2} \mathrm{SO}_{4}\)

Short Answer

Expert verified
Answer: There are approximately 2.1077 × 10²³ atoms in 0.49 grams of H₂SO₄.

Step by step solution

01

Find the molar mass of H₂SO₄

To find the molar mass of H₂SO₄, we sum up the molar masses of all the elements in the compound. The molar masses are as follows: H=1g/mol, S=32g/mol, and O=16g/mol. So, molar mass of H₂SO₄ = (2×1) + 32 + (4×16) = 2 + 32 + 64 = 98 g/mol
02

Calculate the number of moles in 𝟎.𝟒𝟗 𝐠𝐫𝐚𝐦𝐬 𝐨𝐟 \(\mathrm{H}_{2}\mathrm{SO}_{4}\)

Now, we can find the number of moles of H₂SO₄ using the formula: Number of moles = (given mass) / (molar mass) Number of moles = (0.49 g) / (98 g/mol) = 0.005 moles
03

Find the total number of molecules

To find the total number of molecules, we should multiply the number of moles by Avogadro's number (6.022 x 10²³ molecules/mol). Number of molecules = (0.005 moles) × (6.022 × 10²³ molecules/mol) = 3.011 × 10²² molecules
04

Calculate the total number of atoms

H₂SO₄ has 2 atoms of hydrogen, 1 atom of sulfur, and 4 atoms of oxygen, resulting in a total of 7 atoms per molecule. To find the total number of atoms in 0.49 grams of H₂SO₄, we should multiply the total number of molecules by the number of atoms in each molecule. Total number of atoms = (3.011 × 10²² molecules) × (7atoms/molecule) = 2.1077 × 10²³ atoms

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