The air consists of 79.2% of Nitrogen, 20.7% of Oxygen, 0.08% of other light gases and the remaining gas is Argon. Find out the volume of the air consisting of one cubic metre of Argon.

Options

A. `500 m^3`
B. `50 m^3`
C. `5 m^3`
D. `5000 m^3`

Explanation

To find the volume of air that consists of one cubic meter of Argon, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Composition of Air**:
- The air consists of:
- Nitrogen: 79.2%
- Oxygen: 20.7%
- Other light gases: 0.08%
- Argon: Unknown percentage

2. **Calculate the Percentage of Argon**:
- The total percentage of all gases in air is 100%.
- To find the percentage of Argon, we subtract the percentages of the other gases from 100%.
- Calculation:
\[ \text{Percentage of Argon} = 100\% - (79.2\% + 20.7\% + 0.08\%) \]
- Performing the addition:
\[ 79.2 + 20.7 + 0.08 = 99.98\% \]
- Now subtract from 100%:
\[ \text{Percentage of Argon} = 100\% - 99.98\% = 0.02\% \]

3. **Set Up the Equation**:
- Let the volume of air be \( x \) cubic meters.
- According to the problem, the volume of Argon in the air is 1 cubic meter.
- We can express this relationship as:
\[ \frac{0.02}{100} \times x = 1 \]

4. **Solve for \( x \)**:
- Rearranging the equation gives:
\[ x = \frac{1 \times 100}{0.02} \]
- Simplifying this:
\[ x = \frac{100}{0.02} = 5000 \]

5. **Conclusion**:
- The volume of air that contains 1 cubic meter of Argon is **5000 cubic meters**.

### Final Answer:
The volume of air consisting of one cubic meter of Argon is **5000 cubic meters**.

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