A substance of mass 4.953 g occupies `1.5 cm^(-3)` of volume . The density of the substance (in g `cm^(-3)` ) With correct number of significant figures is

Options

A. 3.3
B. `3.300`
C. `3.302`
D. `33.0`

Answer

To find the density of a substance given its mass and volume, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Mass of the substance (m) = 4.953 g
- Volume of the substance (V) = 1.5 cm³

2. **Use the formula for density**:
- Density (ρ) is defined as mass per unit volume:
\[ \rho = \frac{m}{V} \]

3. **Substitute the values into the formula**:
- Plug in the values for mass and volume:
\[ \rho = \frac{4.953 \, \text{g}}{1.5 \, \text{cm}^3} \]

4. **Perform the calculation**:
- Calculate the density:
\[ \rho = 3.302 \, \text{g/cm}^3 \]

5. **Determine the significant figures**:
- The mass (4.953 g) has 4 significant figures.
- The volume (1.5 cm³) has 2 significant figures.
- The result should be reported with the least number of significant figures from the given data, which is 2 significant figures.

6. **Round the result to the correct number of significant figures**:
- Rounding 3.302 to 2 significant figures gives:
\[ \rho \approx 3.3 \, \text{g/cm}^3 \]

### Final Answer:
The density of the substance is **3.3 g/cm³**.