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what is the mass of vertical column of air that exerts pressure of 1 atm over a10m by 10m square surface

Sagot :

Answer:

[tex]m=1.01\times 10^6\ kg[/tex]

Explanation:

Given that,

Pressure, P = 1 atm = 101325 Pa

Area of the square surface, A = 10² = 100 m²

We need to find the mass of vertical column of air. We know that, pressure is equal to the force acting per unit area. So,

[tex]P=\dfrac{mg}{A}\\\\m=\dfrac{PA}{g}\\\\m=\dfrac{101325\times 10^2}{10}\\\\m=1.01\times 10^6\ kg[/tex]

So, the required mass of the vertical column of air is [tex]1.01\times 10^6\ kg[/tex].