Question

The basic barometer can be used to measure the height of a building. If the barometric readings at the top and at the bottom of a building are 665 and 695 mmHg, respectively, determine the height of the building. Take the densities of air and mercury to be 1.18 kg/m3 and 13,600 kg/m3, respectively. (Round the answer to the nearest whole number.)

Answer 1

The height of the building is 346 m.

Step-by-step explanation:

Using the pressure formula that relate atmosphera pressure and manometric pressure like:
`P2 = Patm + pgh - pgh + P1` we can find delta of height and delta of pressure. So
`P2-P1 = 695(mmHg)-665(mmHg)=30(mmHg)`, knowing that 1(mmHg) is equal to 133 Pa we can do the convertion to 4000 Pa, because the units of Pascal is Newton/(metre^2). Then we solve the formula to get the height:
`(P2-P1)/(pg) =h` so we get:
`(4000)/(1,18*9,8)=Height=345,9(metres)`, now we can .