The concentration of pollutant in ppm (w//w). That has been measured at `450mg` per `150kg` of sample is

Options

A. 3 ppm
B. 6ppm
C. 3000ppm
D. 330ppm

Explanation

To find the concentration of a pollutant in parts per million (ppm) given that there are 450 mg of pollutant in a 150 kg sample, we can follow these steps:

### Step 1: Convert the mass of the sample to grams
Since the concentration in ppm is typically expressed in grams, we need to convert the mass of the sample from kilograms to grams.

\[ 150 \text{ kg} = 150 \times 10^3 \text{ g} = 150000 \text{ g} \]

**Hint:** Remember that 1 kg = 1000 g.

### Step 2: Convert the mass of the pollutant to grams
Next, we convert the mass of the pollutant from milligrams to grams.

\[ 450 \text{ mg} = 450 \times 10^{-3} \text{ g} = 0.450 \text{ g} \]

**Hint:** Recall that 1 mg = \(10^{-3}\) g.

### Step 3: Calculate the concentration in ppm
The formula for parts per million (ppm) is given by:

\[ \text{ppm} = \left( \frac{\text{mass of solute (g)}}{\text{mass of solution (g)}} \right) \times 10^6 \]

Substituting the values we have:

\[ \text{ppm} = \left( \frac{0.450 \text{ g}}{150000 \text{ g}} \right) \times 10^6 \]

### Step 4: Simplify the calculation
Now we can simplify the calculation:

\[ \text{ppm} = \left( \frac{0.450}{150000} \right) \times 10^6 \]

Calculating the fraction:

\[ \frac{0.450}{150000} = 3 \times 10^{-6} \]

Now multiplying by \(10^6\):

\[ \text{ppm} = 3 \]

### Final Answer
The concentration of the pollutant is **3 ppm**.

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