13.9k views
3 votes
The barometric pressure in a town reads 65 cmHg. Given the standard atmospheric pressure is 76 cmHg and the density of mercury is 13,600 cm³/Hg, find the town's altitude. (The density of air is 1.25 kg/m³.)

User Al Mamun
by
8.7k points

1 Answer

5 votes

Final answer:

To find the town's altitude, we need to use the relationship between barometric pressure and altitude. By rearranging the formula and plugging in the given values, we can solve for h, the altitude of the town.

Step-by-step explanation:

In order to find the town's altitude, we need to use the relationship between barometric pressure and altitude. The barometric pressure decreases as altitude increases. We can use the formula:

P = P0 imes e(-Mgh/RT)

Where P is the barometric pressure, P0 is the standard atmospheric pressure, M is the molar mass of air, g is the acceleration due to gravity, h is the altitude, R is the ideal gas constant, and T is the temperature. By rearranging the formula and plugging in the given values, we can solve for h, the altitude of the town.

User Adam Thomason
by
8.8k points