Calculate The Number of H Atoms in 0.532 Mol C4h10

Calculating the number of hydrogen atoms in a given amount of butane (C4H10) involves using stoichiometry and Avogadro's number. This guide explains the process step-by-step, including the formula, assumptions, and practical applications.

How to calculate the number of H atoms in 0.532 mol C4H10

The number of hydrogen atoms in a sample of butane can be determined using the following steps:

Determine the number of moles of hydrogen atoms per mole of butane.
Multiply the number of moles of butane by the number of hydrogen atoms per mole of butane.
Convert the number of moles of hydrogen atoms to a number of individual atoms using Avogadro's number.

Butane (C4H10) has 10 hydrogen atoms per molecule. Therefore, 0.532 moles of butane contains 0.532 × 10 = 5.32 moles of hydrogen atoms.

Formula used

The number of hydrogen atoms (N) in a given amount of butane can be calculated using the following formula:

N = moles of C4H10 × number of H atoms per C4H10 molecule × Avogadro's number

Where:

N = number of hydrogen atoms
moles of C4H10 = amount of butane in moles
number of H atoms per C4H10 molecule = 10 (from the chemical formula)
Avogadro's number = 6.022 × 10²³ atoms/mol (constant)

This calculation assumes ideal conditions and does not account for isotopic variations or molecular bonding effects.

Worked example

Let's calculate the number of hydrogen atoms in 0.532 moles of butane:

Number of moles of hydrogen atoms = 0.532 mol × 10 = 5.32 mol
Number of hydrogen atoms = 5.32 mol × 6.022 × 10²³ atoms/mol = 3.20 × 10²⁴ atoms

Therefore, 0.532 moles of butane contains approximately 3.20 × 10²⁴ hydrogen atoms.

Frequently Asked Questions

What is the chemical formula for butane?: The chemical formula for butane is C4H10, which means each butane molecule contains 4 carbon atoms and 10 hydrogen atoms.
How do I convert moles of butane to hydrogen atoms?: Multiply the number of moles of butane by 10 (the number of hydrogen atoms per molecule) and then by Avogadro's number (6.022 × 10²³ atoms/mol) to get the number of hydrogen atoms.
Is this calculation affected by temperature or pressure?: No, this calculation assumes ideal conditions and is not affected by temperature or pressure changes.
What is Avogadro's number?: Avogadro's number is a fundamental constant in chemistry that represents the number of constituent particles (atoms or molecules) in one mole of a substance. It is approximately 6.022 × 10²³ particles per mole.