The weight of one oxygen molecule is 5.3 times 10 Superscript negative 23 grams. How much would 7 times 10 squared molecules of oxygen​ weigh?
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Part 1
  
enter your response here grams ​(Use scientific​ notation.)


To solve this problem, we need to calculate the total weight of \(7 \times 10^2\) oxygen molecules, given that the weight of one oxygen molecule is \(5.3 \times 10^{-23}\) grams.

### Step-by-Step Solution

1. **Identify the given values:**
   - Weight of one oxygen molecule = \(5.3 \times 10^{-23}\) grams
   - Number of molecules = \(7 \times 10^2\)

2. **Multiply the weight of one molecule by the total number of molecules to find the total weight:**

\[
\text{Total weight} = (5.3 \times 10^{-23}) \times (7 \times 10^2)
\]

3. **Multiply the two values using scientific notation:**

\[
\text{Total weight} = 5.3 \times 7 \times 10^{-23 + 2}
\]

\[
\text{Total weight} = 37.1 \times 10^{-21}
\]

4. **Convert to proper scientific notation:**

\[
\text{Total weight} = 3.71 \times 10^{-20} \, \text{grams}
\]

### Final Answer
The total weight of \(7 \times 10^2\) oxygen molecules is \(3.71 \times 10^{-20}\) grams.

Would you like more details or have any other questions?

### Related Questions:
1. What is scientific notation, and why is it useful in expressing very large or small numbers?
2. How do you convert a number like \(37.1 \times 10^{-21}\) to proper scientific notation?
3. If the weight of one oxygen molecule changed, how would you calculate the new total weight for a given number of molecules?
4. How does multiplying numbers in scientific notation differ from adding them?
5. What is the significance of significant figures in scientific notation?

**Tip:** When multiplying numbers in scientific notation, always multiply the coefficients and add the exponents for an accurate result.

Learn how to calculate the weight of oxygen molecules using scientific notation with a detailed step-by-step solution. This problem involves multiplying numbers in scientific notation and is suitable for Grades 7-9.

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