A reaction produces 0.819 moles of H2O. How many molecules are produced?
The correct answer and explanation is :
Final Answer:
The number of molecules produced = 4.93 × 10²³ molecules.
Full Explanation:
In this problem, you are given the amount of water produced in moles and asked to find out how many individual molecules of water (H₂O) that represents.
To solve this, you need to know about Avogadro’s number, which is a fundamental constant in chemistry:
- Avogadro’s number = ( 6.022 \times 10^{23} ) particles (atoms, molecules, ions, etc.) per mole.
This number tells us that one mole of any substance contains exactly ( 6.022 \times 10^{23} ) of its representative particles.
Step 1: Set up the conversion
Since 1 mole = ( 6.022 \times 10^{23} ) molecules, if you have 0.819 moles of H₂O, you can find the number of molecules by multiplying:
[
\text{Number of molecules} = 0.819 \times (6.022 \times 10^{23})
]
Step 2: Perform the calculation
First multiply the numbers:
[
0.819 \times 6.022 = 4.931
]
Then attach the ( 10^{23} ):
[
4.931 \times 10^{23}
]
Thus:
[
\text{Number of molecules} = 4.93 \times 10^{23} \text{ molecules}
]
Step 3: Double-check units
- Moles cancel out.
- The answer is correctly left in molecules, which is the quantity the question asked for.
Summary:
- Given: 0.819 moles of H₂O
- Use: Avogadro’s number ( (6.022 \times 10^{23}) )
- Multiply: ( 0.819 \times 6.022 \times 10^{23} )
- Result: ( 4.93 \times 10^{23} ) molecules of H₂O
Understanding this process is very important because converting between moles and particles is a skill used in almost all areas of chemistry, especially when studying chemical reactions, stoichiometry, and molecular behavior!