Question

What is the total pressure at the bottom of a column of liquid of density 1200kg/m3,if the height of the height of the column of the liquid is 8cm and the atmospheric pressure is 75cmHg.And the density of mercury is 13600
​

Answer 1

Answer:

Hydrostatic pressure = ϱgh

given ϱ=10

3

kg/m

3

1g=10ms

−2

,h=6m

Pressure = 10

3

m

3

kg

×10

s

2

m

×6

= 60000 P

a

Answer 2

Given info : The density of liquid which is poured in a column is 1200 kg/m³. the height of liquid in the column is 8 cm and the atmospheric pressure is 75 cm Hg and the density of mercury is 13600 kg/m³.

To find : the total pressure at the bottom of the column is ...

solution : total pressure at the bottom of the column is given as,

P = P₀ + ρgh

= ρ₀gh₀ + ρgh

= 13600 kg/m³ × 9.8 m/s² × 75 × 10¯² m + 1200 kg/m³ × 9.8 m/s² × 8 × 10¯²

= 136 × 9.8 × 75 + 12 × 9.8 × 8

= 100,900.8 N/m²

= 1.009008 × 10⁵ N/m²

≈ 10⁵ N/m²

Therefore the total pressure at the bottom of the column is 10⁵ N/m².

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