If the mercury in a barometer raises 21.7 centimeters due to a change in ambient pressure, what is the corresponding change in pressure in atm?

Respuesta :

The corresponding change in pressure in atm is 0.285 atm.

To solve the question, we need to know what pressure is.

What is pressure?

This is the force per unit area acting on a surface.

Change in pressure in the mercury barometer.

The change in pressure in the mercury barometer is given by ΔP = ρgh where

  • ρ = density of mercury = 13600 kg/m³,
  • g = acceleration due to gravity = 9.8 m/s² and
  • h = height of mercury = 21.7 cm = 0.217 m

So, ΔP = ρgh

= 13600 kg/m³ × 9.8 m/s² × 0.217 m

= 28921.76 kg/m-s²

= 28921.76 N/m²

= 28921.76 Pa

The change in pressure in atm

Since 1 atm = 101325 Pa

28921.76 Pa = 28921.76 Pa × 1 atm/101325 Pa

= 0.285 atm

So, the corresponding change in pressure in atm is 0.285 atm.

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