how many atoms are there in 49 gm of H2SO4

how many atoms are there in 49 gm of H2SO4.how many atoms are there in 49 gm of H2SO4

The Correct Answer and Explanation is :

To determine the number of atoms in 49 grams of H₂SO₄ (sulfuric acid), we follow these steps:

Step 1: Calculate the Molar Mass of H₂SO₄

The molar mass of sulfuric acid (H₂SO₄) is determined by adding the atomic masses of each element:

Hydrogen (H): ( 1.008 \times 2 = 2.016 ) g/mol
Sulfur (S): ( 32.065 ) g/mol
Oxygen (O): ( 16.00 \times 4 = 64.00 ) g/mol

Total molar mass of H₂SO₄ = 98.08 g/mol

Step 2: Determine the Number of Moles in 49 g of H₂SO₄

Since 1 mole of H₂SO₄ weighs 98.08 g, the number of moles in 49 g is:

[
\text{Moles of H₂SO₄} = \frac{49}{98.08} = 0.5 \text{ moles}
]

Step 3: Determine the Number of Molecules

1 mole of any substance contains Avogadro’s number of molecules:

[
\text{Avogadro’s number} = 6.022 \times 10^{23} \text{ molecules/mol}
]

Thus, the number of molecules in 0.5 moles of H₂SO₄ is:

[
(0.5) \times (6.022 \times 10^{23}) = 3.011 \times 10^{23} \text{ molecules}
]

Step 4: Determine the Total Number of Atoms

Each molecule of H₂SO₄ consists of:

2 hydrogen (H) atoms
1 sulfur (S) atom
4 oxygen (O) atoms

Total atoms per molecule:

[
2 + 1 + 4 = 7 \text{ atoms}
]

Thus, the total number of atoms in 3.011 × 10²³ molecules is:

[
(3.011 \times 10^{23}) \times 7 = 2.108 \times 10^{24} \text{ atoms}
]

Final Answer

49 g of H₂SO₄ contains approximately ( 2.11 \times 10^{24} ) atoms.

Explanation (300 words)

To determine the number of atoms in a given mass of a compound, we use the concept of moles and Avogadro’s number. First, we find the molar mass of sulfuric acid (H₂SO₄), which is 98.08 g/mol. This tells us that one mole of H₂SO₄ weighs 98.08 g. If we have 49 g of H₂SO₄, we calculate the number of moles by dividing by the molar mass: 49 ÷ 98.08 = 0.5 moles.

Next, using Avogadro’s number (6.022 × 10²³ molecules per mole), we determine the number of molecules in 0.5 moles:
0.5 × (6.022 × 10²³) = 3.011 × 10²³ molecules.

Each molecule of sulfuric acid consists of 7 atoms (2 hydrogen, 1 sulfur, and 4 oxygen). To get the total number of atoms, we multiply the number of molecules by 7: