To determine how many molecules are in 0.00812 mole of H2CO3 (carbonic acid), follow these steps:
1. Understand the Problem:
- You need to find the number of molecules in a given number of moles.
- The molar quantity is given: 0.00812 mole of H2CO3.
2. Key Concept:
- Use Avogadro's number, which is the number of molecules in one mole of any substance.
- Avogadro's number (N_A) is approximately [tex]\(6.022 \times 10^{23}\)[/tex] molecules/mole.
3. Conversion Factor:
- The conversion factor is Avogadro's number: [tex]\(6.022 \times 10^{23}\)[/tex] molecules/mole.
4. Set-Up the Calculation:
- You’ll multiply the number of moles by Avogadro's number to convert moles to molecules.
5. Mathematical Formula:
[tex]\[
\text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number}
\][/tex]
6. Perform the Calculation:
[tex]\[
\text{Number of molecules} = 0.00812 \, \text{mole} \times 6.022 \times 10^{23} \, \text{molecules/mole}
\][/tex]
7. Result:
- After multiplication, the number of molecules in 0.00812 mole of H2CO3 is:
[tex]\[
4.889864 \times 10^{21} \, \text{molecules}
\][/tex]
Therefore, in 0.00812 mole of H2CO3, you have approximately [tex]\(4.889864 \times 10^{21}\)[/tex] molecules.
