If the density of a metal is 8.2 g/cc, its relative density is

Options

A. 8.2
B. `1/8.2`
C. 0.82
D. None of these

Answer

To find the relative density of a metal given its density, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Relative Density**:
Relative density (RD) is defined as the ratio of the density of a substance to the density of a reference substance, typically water.

2. **Identify the Given Values**:
- Density of the metal (σ) = 8.2 g/cc
- Density of water (ρ) = 1 g/cc (this is a standard value)

3. **Write the Formula for Relative Density**:
The formula for relative density is:
\[ \text{Relative Density (RD)} = \frac{\text{Density of the substance (σ)}}{\text{Density of the reference substance (ρ)}} \]

4. **Substitute the Values into the Formula**:
Substitute the known values into the formula:
\[ \text{RD} = \frac{8.2 \, \text{g/cc}}{1 \, \text{g/cc}} \]

5. **Perform the Calculation**:
When you divide 8.2 g/cc by 1 g/cc, the units cancel out:
\[ \text{RD} = 8.2 \]

6. **State the Final Answer**:
The relative density of the metal is 8.2. Note that relative density is a dimensionless quantity, meaning it has no units.

### Final Answer:
The relative density of the metal is **8.2**.

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