When 1.04 g of `BaCl_2` is present in `10^5` g of solution the concentration of solution is

Options

A. 0.104 ppm
B. 10.4 ppm
C. 0.0104 ppm
D. 104 ppm

Answer

To find the concentration of the solution in parts per million (ppm), we can follow these steps:

### Step 1: Understand the formula for concentration in ppm
The formula to calculate the concentration in ppm is given by:
\[ \text{ppm} = \left( \frac{\text{mass of solute}}{\text{mass of solution}} \right) \times 10^6 \]

### Step 2: Identify the mass of solute and mass of solution
From the question, we have:
- Mass of solute (BaCl₂) = 1.04 g
- Mass of solution = \(10^5\) g

### Step 3: Substitute the values into the formula
Now, we can substitute the values into the ppm formula:
\[ \text{ppm} = \left( \frac{1.04 \, \text{g}}{10^5 \, \text{g}} \right) \times 10^6 \]

### Step 4: Calculate the concentration
Now, we perform the calculation:
\[ \text{ppm} = \left( \frac{1.04}{10^5} \right) \times 10^6 \]
\[ = \left( 1.04 \times 10^1 \right) = 10.4 \, \text{ppm} \]

### Step 5: State the final answer
Therefore, the concentration of the barium chloride solution is:
\[ \text{Concentration} = 10.4 \, \text{ppm} \]