what is the mass of 2.00 exp 23 molecules of H2O

To find the mass of \(2.00 \times 10^{23}\) molecules of \( \text{H}_2\text{O} \), let's follow these steps:

### Step 1: Calculate the molar mass of \( \text{H}_2\text{O} \)
The molar mass of water (\( \text{H}_2\text{O} \)) is:
- Hydrogen (H): \(1.01 \, \text{g/mol}\) \( \times 2 = 2.02 \, \text{g/mol}\)
- Oxygen (O): \(16.00 \, \text{g/mol}\)

So, the molar mass of \( \text{H}_2\text{O} \) is:
\[
2.02 + 16.00 = 18.02 \, \text{g/mol}
\]

### Step 2: Convert molecules to moles
Using Avogadro's number (\(6.022 \times 10^{23}\) molecules per mole), we can convert molecules to moles:

\[
\text{Moles of } \text{H}_2\text{O} = \frac{2.00 \times 10^{23} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mol}}
\]

Calculating this gives:
\[
\text{Moles of } \text{H}_2\text{O} \approx 0.332 \, \text{mol}
\]

### Step 3: Calculate the mass
Using the molar mass, we find the mass of \(0.332\) moles of \( \text{H}_2\text{O} \):

\[
\text{Mass of } \text{H}_2\text{O} = 0.332 \, \text{mol} \times 18.02 \, \text{g/mol} \approx 5.98 \, \text{g}
\]

### Answer
The mass of \(2.00 \times 10^{23}\) molecules of \( \text{H}_2\text{O} \) is approximately **5.98 grams**.

Would you like more details on any of these steps or have any questions?

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Here are some related questions for further exploration:

1. How would the mass change if we had \(3.00 \times 10^{23}\) molecules instead?
2. How is Avogadro's number determined experimentally?
3. What is the relationship between molecular mass and molar mass?
4. How does the mass of a single \( \text{H}_2\text{O} \) molecule compare to a mole of \( \text{H}_2\text{O} \)?
5. How would you calculate the mass of \(2.00 \times 10^{23}\) molecules of another compound, like \( \text{CO}_2 \)?

**Tip:** Always keep Avogadro's number in mind when converting between molecules and moles; it’s a foundational constant in chemistry!

What is the mass of 2.00 exp 23 molecules of H2O?

Learn how to find the mass of 2.00 x 10^23 molecules of water (H2O) by using Avogadro's number and the molar mass of H2O. This step-by-step solution covers key chemistry concepts, including molecule-to-mole conversion and mass calculation, ideal for high school students in Grades 10-12.

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