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

Answer:

The height of the building is 346 m.

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: $\frac{P2-P1}{pg} =h$ so we get: $\frac{4000}{1,18*9,8}=Height=345,9(metres)$, now we can .