Which of the following formula is true?

Options

A. Volume `%` of the component = (Volume of the component) / (Total volume of solution)`xx`100
B. Mass `%` of component = (total mass of the solution)/Mass of component in)`xx`100
C. Volume `%` of the component =(Total volume of solution)/Volume of the component)`xx100`
D. None of the above

Answer

To determine which formula is true regarding the volume percent and mass percent of a solution, we will analyze the given options step by step.

### Step-by-Step Solution:

1. **Understanding Volume Percent**:
- Volume percent (v/v) is defined as the volume of the solute divided by the total volume of the solution, multiplied by 100.
- The formula for volume percent can be expressed as:
\[ \text{Volume Percent} = \left( \frac{\text{Volume of Solute}}{\text{Total Volume of Solution}} \right) \times 100 \]
- This means that if we have a solution, we take the volume of the solute and divide it by the total volume of the solution, then multiply by 100 to get the percentage.

2. **Evaluating the First Option**:
- The first option states:
\[ \text{Volume Percent of Component} = \left( \frac{\text{Volume of the Component}}{\text{Total Volume of Solution}} \right) \times 100 \]
- This matches our definition of volume percent. Therefore, this statement is **correct**.

3. **Understanding Mass Percent**:
- Mass percent (w/w) is defined as the mass of the solute divided by the total mass of the solution, multiplied by 100.
- The formula for mass percent can be expressed as:
\[ \text{Mass Percent} = \left( \frac{\text{Mass of Solute}}{\text{Total Mass of Solution}} \right) \times 100 \]
- Here, both the mass of the solute and the mass of the solvent (solvate) are considered.

4. **Evaluating the Second Option**:
- The second option states:
\[ \text{Mass Percent of Component} = \left( \frac{\text{Mass of Solute}}{\text{Total Mass of Component}} \right) \times 100 \]
- This is incorrect because it does not consider the total mass of the solution (solute + solvent) but rather refers to the total mass of the component, which is not a standard definition. Therefore, this statement is **incorrect**.

5. **Conclusion**:
- Based on the analysis, the first option is true, while the second option is false. Thus, the correct answer is:
- **Option 1 is correct**.