If the density of a solution is `3.12 "g mL"^(-1)`, the mass of 1.5 mL solution in significant figures is

Options

A. 4.7 g
B. `4680 xx 10^(-3) g`
C. 4.680 g
D. 46.80 g

Explanation

To solve the problem of finding the mass of a solution given its density and volume, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Density of the solution (d) = 3.12 g/mL
- Volume of the solution (V) = 1.5 mL

2. **Use the formula for density**:
The formula for density is given by:
\[ \text{Density} (d) = \frac{\text{Mass} (m)}{\text{Volume} (V)} \]
Rearranging this formula to find mass gives:
\[ m = d \times V \]

3. **Substitute the values into the formula**:
Now, substitute the values of density and volume into the formula:
\[ m = 3.12 \, \text{g/mL} \times 1.5 \, \text{mL} \]

4. **Calculate the mass**:
Performing the multiplication:
\[ m = 3.12 \times 1.5 = 4.68 \, \text{g} \]

5. **Determine significant figures**:
- The density (3.12 g/mL) has 3 significant figures.
- The volume (1.5 mL) has 2 significant figures.
- The final answer should be reported with the least number of significant figures, which is 2 (from the volume).

6. **Round the mass to the correct number of significant figures**:
Since we need to round 4.68 g to 2 significant figures:
- The first two digits are 4 and 6, and the next digit is 8.
- Since 8 is greater than 5, we round up the 6 to 7.
- Therefore, 4.68 g rounded to 2 significant figures is 4.7 g.

### Final Answer:
The mass of the solution is **4.7 g**.

---