To determine the weight of a one square centimeter column of air at sea level, we can use the following concepts:
-
Air Pressure at Sea Level: The standard atmospheric pressure at sea level is approximately 101.325 kPa (kilopascals), which is equivalent to 101325 pascals.
-
Area of the Column: A one square centimeter column is equivalent to \(1 , \text{cm}^2 = 0.0001 , \text{m}^2\).
-
Weight of Air Column: The weight of the air column can be calculated using the formula:
\[ \text{Weight} = \text{Pressure} \times \text{Area} \]
Converting pressure to pascals:
\[ \text{Weight} = 101325 , \text{Pa} \times 0.0001 , \text{m}^2 = 10.1325 , \text{N} \]
- Weight to Mass Conversion: To convert weight (measured in newtons) to mass (measured in kilograms), we use the equation \( W = mg \), where \( g \) (acceleration due to gravity) is approximately \( 9.81 , \text{m/s}^2 \):
\[ \text{Mass} = \frac{\text{Weight}}{g} = \frac{10.1325}{9.81} \approx 1.033 , \text{kg} \]
From this calculation, we find that the weight of a one square centimeter column of air at sea level is approximately 1.03 kilograms. Therefore, the correct answer is:
1.03 kilograms.
1 answer