Question

У поверхности нормальное атмосферное давление. На какую высоту нужно подняться, чтобы атмосферное давление опустилось до 700 мм рт. ст.

Answer 1

На 600 м. На 100 м вгору тиск зменшується 10 мм рт

Answer 2

Calculating Change in Atmospheric Pressure with Altitude

To calculate the change in atmospheric pressure with altitude, we can use the barometric formula, which describes how the pressure of the air changes with altitude. The formula is given by:

P = P0 * e^(-Mgh/RT)

Where: - P is the pressure at altitude h - P0 is the pressure at sea level - M is the molar mass of Earth's air - g is the acceleration due to gravity - R is the universal gas constant - T is the temperature in Kelvin - e is the base of the natural logarithm

Calculating the Altitude for a Given Atmospheric Pressure

Given that the normal atmospheric pressure at sea level is approximately 760 mmHg, and we want to find the altitude at which the pressure drops to 700 mmHg, we can rearrange the barometric formula to solve for h:

h = (RT/Mg) * ln(P0/P)

Substituting the known values: - P0 = 760 mmHg - P = 700 mmHg - R = 8.314 J/(mol·K) - T = 288.15 K (standard temperature at sea level) - M = 0.029 kg/mol (molar mass of dry air) - g = 9.81 m/s^2

We can calculate the altitude using the given values.

Calculating the Altitude

Using the given values and the barometric formula, the altitude h can be calculated as follows:

h = (8.314 * 288.15 / (0.029 * 9.81)) * ln(760/700)

Calculating the value: ``` h ≈ (8.314 * 288.15 / (0.029 * 9.81)) * ln(760/700) ≈ 8.314 * 288.15 / (0.029 * 9.81) * ln(1.0857) ≈ 8.314 * 288.15 / (0.029 * 9.81) * 0.0814 ≈ 24104.5 / 0.2847 ≈ 84677.5 meters ```

So, to lower the atmospheric pressure to 700 mmHg, one would need to ascend to an altitude of approximately 84.7 kilometers.

This calculation assumes standard atmospheric conditions and may vary in real-world scenarios due to factors such as temperature variations and weather patterns.