Find the concentration of solution in terms of weight percent if 30g of common salt is dissolved in 50g of water..

Options

A. 45%
B. 37.5%
C. 16%
D. 17%

Explanation

To find the concentration of a solution in terms of weight percent, we can follow these steps:

### Step 1: Identify the mass of solute and solvent
- **Mass of solute (common salt)** = 30 g
- **Mass of solvent (water)** = 50 g

### Step 2: Calculate the total mass of the solution
- **Total mass of solution** = Mass of solute + Mass of solvent
- Total mass = 30 g (solute) + 50 g (solvent) = 80 g

### Step 3: Use the formula for weight percent concentration
The weight percent concentration is calculated using the formula:
\[ \text{Weight percent} = \left( \frac{\text{Mass of solute}}{\text{Total mass of solution}} \right) \times 100 \]

### Step 4: Substitute the values into the formula
- Mass of solute = 30 g
- Total mass of solution = 80 g

Substituting these values:
\[ \text{Weight percent} = \left( \frac{30 \, \text{g}}{80 \, \text{g}} \right) \times 100 \]

### Step 5: Calculate the weight percent
\[ \text{Weight percent} = \left( \frac{30}{80} \right) \times 100 = 0.375 \times 100 = 37.5\% \]

### Final Answer
The concentration of the solution in terms of weight percent is **37.5%**.

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