A person is considered to be suffering from lead poisoning if its concentration in him is more than 15 micrograms of lead per decilitre of blood. Concentration in parts per billion parts is

Options

A. 1
B. 0
C. 150
D. 1000

Explanation

To find the concentration of lead in parts per billion (PPB) given that a person is considered to be suffering from lead poisoning if the concentration is more than 15 micrograms of lead per deciliter of blood, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Micrograms to Grams**:
- The concentration given is 15 micrograms of lead.
- To convert micrograms to grams, we use the conversion factor:
\[ 1 \text{ microgram} = 10^{-6} \text{ grams} \]
- Therefore,
\[ 15 \text{ micrograms} = 15 \times 10^{-6} \text{ grams} \]

2. **Understand the Volume in Deciliters**:
- The concentration is given per deciliter of blood.
- 1 deciliter (dL) is equivalent to 0.1 liters (L) or 100 milliliters (mL).

3. **Calculate the Concentration in Parts Per Billion (PPB)**:
- The formula for parts per billion (PPB) is:
\[ \text{PPB} = \left(\frac{\text{mass (g)}}{\text{volume (mL)}}\right) \times 10^9 \]
- Substitute the values we have:
- Mass = \(15 \times 10^{-6} \text{ g}\)
- Volume = 100 mL
- Plugging these into the formula:
\[ \text{PPB} = \left(\frac{15 \times 10^{-6}}{100}\right) \times 10^9 \]

4. **Simplify the Expression**:
- First, calculate the fraction:
\[ \frac{15 \times 10^{-6}}{100} = 15 \times 10^{-6} \times 10^{-2} = 15 \times 10^{-8} \text{ g/mL} \]
- Now multiply by \(10^9\):
\[ \text{PPB} = 15 \times 10^{-8} \times 10^9 = 15 \times 10^{1} = 150 \]

5. **Conclusion**:
- The concentration of lead in the blood is 150 parts per billion (PPB).

### Final Answer:
The concentration of lead is **150 parts per billion (PPB)**.

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