How many atoms are there in 0.2 mol of methane molecules, CH4?
The correct answer and explanation is:
To calculate the number of atoms in 0.2 mol of methane (CH₄) molecules, let’s break it down step by step.
Step 1: Understand the composition of a methane molecule
Methane (CH₄) consists of one carbon (C) atom and four hydrogen (H) atoms, giving a total of 5 atoms per molecule of methane.
Step 2: Use Avogadro’s Number
Avogadro’s number, 6.022×10236.022 \times 10^{23}, represents the number of particles (atoms, molecules, ions, etc.) in one mole of a substance.
Step 3: Calculate the number of methane molecules in 0.2 mol
The number of methane molecules in 0.2 mol is calculated as: 0.2 mol×6.022×1023 molecules/mol=1.2044×1023 molecules0.2 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} = 1.2044 \times 10^{23} \, \text{molecules}
Step 4: Calculate the total number of atoms
Since each methane molecule contains 5 atoms (1 carbon atom and 4 hydrogen atoms), the total number of atoms in 0.2 mol of methane is: 1.2044×1023 molecules×5 atoms/molecule=6.022×1023 atoms1.2044 \times 10^{23} \, \text{molecules} \times 5 \, \text{atoms/molecule} = 6.022 \times 10^{23} \, \text{atoms}
Final Answer:
There are 6.022×10236.022 \times 10^{23} atoms in 0.2 mol of methane molecules.
Explanation:
To summarize, we calculated the number of molecules in 0.2 mol of methane using Avogadro’s number. Then, we multiplied the number of molecules by 5 because each methane molecule consists of 5 atoms. This gave us the total number of atoms in 0.2 mol of methane, which is 6.022×10236.022 \times 10^{23}.