Question

calculate the height of the mercury in the tube above the surface in the trough. (Take air pressure = 1.0*1.0^5 pa & density of mercury = 136000 kg/m^3)

Answer 1

Step-by-step explanation:

To calculate the height of the mercury in the tube above the surface in the trough, we can use the following formula:

h = (P - P₀) / ρg

where h is the height of the mercury column, P is the pressure at the bottom of the tube, P₀ is the atmospheric pressure, ρ is the density of the mercury, and g is the acceleration due to gravity.

Since the pressure at the bottom of the tube is due to the weight of the mercury column above it, we can also express P as P = ρgh, where h is the height of the mercury column in the tube.

Substituting this expression for P into the formula above, we get:

h = (ρgh - P₀) / ρg

Simplifying this expression, we get:

h = h - P₀ / g

Solving for h, we get:

h = P₀ / ρg

Substituting the given values, we get:

h = (1.0 x 10⁵ Pa) / (136000 kg/m³ x 9.81 m/s²)

h = 0.073 m

Therefore, the height of the mercury in the tube above the surface in the trough is approximately 0.073 meters.