Question

Определите высоту горы, если нормальное атмосферное давление на вершине составляет 540 мм рт. ст.

Answer 1

1. Нормальное давление на уровне моря 760 мм рт ст
Разница давлений составляет 220 мм рт ст
Значит (220х100)/10=. 2200 метров

Answer 2

Calculating the Height of the Mountain

To calculate the height of the mountain, we can use the relationship between atmospheric pressure and altitude. The atmospheric pressure decreases with increasing altitude, and this relationship can be described by the barometric formula:

P = P0 * (1 - (L * h) / T0)^((g * M) / (R * L))

Where: - P is the pressure at altitude h - P0 is the pressure at sea level - L is the temperature lapse rate - h is the altitude - T0 is the standard temperature at sea level - g is the acceleration due to gravity - M is the molar mass of Earth's air - R is the universal gas constant

Given that the normal atmospheric pressure at the mountain top is 540 mm Hg (which can be converted to 71.99 kPa), we can use this information to calculate the height of the mountain.

Using the Barometric Formula

Using the barometric formula, we can rearrange the equation to solve for h (altitude):

h = (T0 / L) * (1 - (P / P0)^((R * L) / (g * M)))

Given the standard values for the constants: - T0 = 288.15 K - L = 0.0065 K/m - R = 8.314 J/(mol*K) - g = 9.80665 m/s^2 - M = 0.02896 kg/mol - P0 = 101.3 kPa

We can now calculate the altitude h using the given pressure at the mountain top (540 mm Hg or 71.99 kPa).

Calculating the Altitude

h = (288.15 / 0.0065) * (1 - (71.99 / 101.3)^((8.314 * 0.0065) / (9.80665 * 0.02896)))

h ≈ 28800 * (1 - 0.711)^0.1903

h ≈ 28800 * 0.789

h ≈ 22747.2 meters

So, the calculated altitude of the mountain is approximately 22747.2 meters.

This calculation is based on the barometric formula and the given atmospheric pressure at the mountain top.

If you have any further questions or need additional assistance, feel free to ask!