Questions: 17. Find the volume (in mL ) occupied by a 4.3 g sample of benzene. (The specific gravity of benzene is 0.880 )

Transcript text: 17. Find the volume (in mL ) occupied by a 4.3 g sample of benzene. (The specific gravity of benzene is 0.880 )

Solution

Solution Steps

Step 1: Understand the Problem

We need to find the volume occupied by a 4.3 g sample of benzene, given that the specific gravity of benzene is 0.880.

Step 2: Recall the Relationship Between Specific Gravity and Density

Specific gravity is the ratio of the density of a substance to the density of water. Since the density of water is \(1 \, \text{g/mL}\), the density of benzene can be calculated as: \[ \text{Density of benzene} = \text{Specific gravity of benzene} \times \text{Density of water} \] \[ \text{Density of benzene} = 0.880 \times 1 \, \text{g/mL} = 0.880 \, \text{g/mL} \]

Step 3: Use the Density Formula to Find Volume

The formula for density is: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] Rearranging to solve for volume: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \] Substitute the given mass and the calculated density: \[ \text{Volume} = \frac{4.3 \, \text{g}}{0.880 \, \text{g/mL}} \]

Step 4: Calculate the Volume

Perform the division: \[ \text{Volume} = \frac{4.3}{0.880} \approx 4.8864 \, \text{mL} \]