Determine the distance h the mercury level is from the top o

Determine the distance (h) the mercury level is from the top of the funnel.

Express your answer to three significant figures and include the appropriate units.

The funnel is filled with oil to a depth of h, 0.34 m and water to a depth of 0.4 m. The densities of the fluids are po 900 kg/m3 pu 1000 kg/m3 Aig-13 550 kg/m3. (Figure 1) Figure 1of 1 0.2 m h\' Oil Water- 0.4 m Mercury 0.1 m

Solution

Here ,

let the height of mercury in the right tube is x

Now , balancing the pressure on both sides

0.34 * g * 900 + 1000 * g * 0.40 = 13550 * g * x

0.34* 900 + 1000* 0.40 = 13550* x

solving for x

x = 0.052 m

height , h = 0.2 + 0.4 + 0.34 - 0.052

h = 0.888 m

the height h is 0.888 m