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How many atoms of h are in 31.30 grams of formaldehyde, ch2o?

2 Answers

4 votes

Final Answer:

The number of hydrogen atoms in 31.30 grams of formaldehyde (CH₂O) is approximately
\(1.04 * 10^(24)\) atoms.

Step-by-step explanation:

Formaldehyde (CH₂O) consists of two hydrogen (H) atoms. To determine the number of moles of CH₂O in 31.30 grams, we use the molar mass of CH₂O, which is calculated by adding the atomic masses of its constituent elements. The molar mass of carbon (C) is
12.01 g/mol, hydrogen (H) is 1.01 g/mol, and oxygen (O) is 16.00 g/mol. Therefore, the molar mass of CH₂O is \(12.01 + (2 \times 1.01) + 16.00 = 30.03\) g/mol.

Next, we calculate the number of moles of CH₂O using the formula:


\[ \text{Moles} = \frac{\text{Mass}}{\text{Molar Mass}} \]

Substituting the given mass (31.30 g) and molar mass (30.03 g/mol) into the formula, we find that there are approximately \(1.04\) moles of CH₂O.

Since each mole of CH₂O contains two moles of hydrogen atoms, we multiply the number of moles by 2 to find the total number of moles of hydrogen atoms. Therefore:


\[ \text{Hydrogen Atoms} = 2 * \text{Moles of CH₂O} \]

Substituting the value we obtained earlier, we find that there are approximately \(2.08\) moles of hydrogen atoms. Finally, using Avogadro's number (\(6.022 \times 10^{23}\) atoms/mol), we convert moles to atoms:


\[ \text{Hydrogen Atoms} \approx 2.08 * 6.022 * 10^(23) \]

This yields the final answer of approximately
\(1.04 * 10^(24)\)hydrogen atoms in 31.30 grams of formaldehyde (CH₂O).

answered
User Lytenyn
by
9.7k points
3 votes

Final answer:

In 31.30 grams of formaldehyde (CH2O), there are approximately 1.25 x 10²⁴ atoms of hydrogen.

Step-by-step explanation:

To find out how many atoms of hydrogen are in 31.30 grams of formaldehyde (CH2O), we need to follow several steps. First, we should calculate the number of moles of formaldehyde in the given mass using its molar mass. We know that the molar mass of CH2O is 30.02 g/mol. Therefore:

Number of moles = Mass (g) / Molar mass (g/mol) = 31.30 g / 30.02 g/mol ≈ 1.0426 moles of CH2O.

Since one molecule of CH2O contains two hydrogen atoms, one mole of CH2O will contain 2 moles of hydrogen atoms. Therefore, we have:

Number of moles of hydrogen atoms = Number of moles of CH2O x 2 = 1.0426 moles x 2 = 2.0852 moles of hydrogen atoms.

To convert moles of hydrogen to atoms, we use Avogadro's number (6.02 x 10²³ atoms/mol):

Number of hydrogen atoms = 2.0852 moles x 6.02 x 10²³ atoms/mol ≈ 1.25 x 10²⁴ atoms of hydrogen.

answered
User Paddyd
by
7.4k points
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