Question

Find the pressure on the roof of Grand Hyatt Hotel Manila (one of the tallest building in the Philippines if its height is 1,043 ft.

Answer 1

Dependency of the barometric pressure on the altitude is given by the formula

$$P=P_0\exp(-\dfrac{Mg}{RT}h)$$

$$P_0=101.325\ kPa, g-=9.807\ m/s^2,$$

$$M=0.02896\ kg/mol, T=288.15\ K$$

$$R=8.3143\ (N\cdot m)/(mol\cdot K)$$

$h=1043\ ft=1043\cdot0.3048\ m=317.9064\ m$

$$P=101.325\ kPa\cdot$$

$$\exp(-\dfrac{0.02896\ kg/mol\cdot9.807\ m/s^2}{8.3143\ (N\cdot m)/(mol\cdot K)\cdot288.15\ K}\cdot317.9064\ m)$$

$$=97.775\ kPa$$

$$97.775\ kPa\approx28.8146\ inches\ Hg$$