The number of significant figures in `6.023xx10^(23)"mole"^(-1)` is

Options

A. 4
B. 3
C. 2
D. 23

Answer

To determine the number of significant figures in the number \(6.023 \times 10^{23} \, \text{mole}^{-1}\), we can follow these steps:

### Step 1: Identify the digits in the number
The number given is \(6.023\). Here, we will look at each digit in this number.

### Step 2: Apply the rules of significant figures
1. **Non-zero digits are significant**: In \(6.023\), the digits \(6\), \(2\), and \(3\) are non-zero and thus significant.
2. **Zeros between non-zero digits are significant**: The digit \(0\) in \(6.023\) is between \(6\) and \(2\), making it significant as well.
3. **Powers of ten do not affect significant figures**: The \(10^{23}\) part does not influence the count of significant figures.

### Step 3: Count the significant figures
Now, we can count the significant figures:
- The digits \(6\), \(0\), \(2\), and \(3\) are all significant.
- Therefore, the total number of significant figures in \(6.023\) is \(4\).

### Conclusion
The number of significant figures in \(6.023 \times 10^{23} \, \text{mole}^{-1}\) is \(4\).

### Final Answer
Thus, the correct option is **A: 4**.

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