The height of the column is 0.457 m and the mass of the atmosphere is calculated as 1.03 × 10 ⁴ kg.
<h3>What is Pascal? </h3>
Pascal is defined as the force per unit area. It expressed in Newton pr square meter of area.
1 Pa = 1 N / m²
Pressure = force / Area
According to the question, the expression of force is as given below
F = mg
where,
F is the force,
m is the mass,
g is equal to the acceleration due to the gravity
Now, the area of the atmosphere is 1 m².The pressure is 1 atm. Pressure in Pascal.
1 atm = 1.01325 × 10 5pa
Therefore, the expression for pascal become as follows.
1.01325 × 10 5 pa = mg /area
1.01325 × 10 5 pa = m × 9.81 m/s² / 1 m²
M = 1.01325 × 10 5 pa × 1 m² / 9.81 m² × 1 Nm -² /1 pa × 1 kg m-² / 1 N
1.03 × 10 ⁴ kg
Given,
The density is 22.6 g /mL , pressure is 1 atm, and area is 1 m²
The relation between density and pressure can be given as follows.
P = hpg… … …(1 )
were , h is the height of the column
p is the density.
Hpg = 1.01325 × 10 5 pa × 1 N/m² /1 pa
H = 1.01325 × 10 5 N/m² / pg × 1 kg ms-² / 1 N
= 1.01325 × 10 5 kg m-¹ s -² / 22.6 g mL -1 × 1 kg/ 10 ³ g × 1 mL / 10 -6 m ³ × 9.81 m s- ²
= 0.457 m
Therefore, the height of the column is 0.457 m.
Thus, we concluded that the height of the column is 0.457 m and the mass of the atmosphere is calculated as 1.03 × 10 ⁴ kg.
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