55 g of sodium chloride is dissolved in 100 g of water at 293 K. Find its concentration at this temperature.

Options

A. 15.45%
B. 25.45%
C. 35.45%
D. 55.45%

Explanation

To find the concentration of sodium chloride (NaCl) dissolved in water, we follow these steps:

### Step 1: Identify the mass of the solute and solvent
- Mass of sodium chloride (solute) = 55 g
- Mass of water (solvent) = 100 g

### Step 2: Calculate the mass of the solution
The mass of the solution is the sum of the mass of the solute and the mass of the solvent.
\[ \text{Mass of solution} = \text{Mass of solute} + \text{Mass of solvent} = 55 \, \text{g} + 100 \, \text{g} = 155 \, \text{g} \]

### Step 3: Calculate the concentration
Concentration is calculated as the mass of the solute divided by the mass of the solution, multiplied by 100 to express it as a percentage.
\[ \text{Concentration} = \left( \frac{\text{Mass of solute}}{\text{Mass of solution}} \right) \times 100 \]
Substituting the values:
\[ \text{Concentration} = \left( \frac{55 \, \text{g}}{155 \, \text{g}} \right) \times 100 \]

### Step 4: Perform the calculation
\[ \text{Concentration} = \left( \frac{55}{155} \right) \times 100 \approx 35.48\% \]

### Final Result
The concentration of sodium chloride in the solution is approximately **35.48%**.

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