Question

Летчик поднялся на высоту 5 км. Каково атмосферное давление воздуха на этой высоте, если у поверхности земли она равнялось 745 мм рт.ст.? дано,найти, СИ( если есть ) решение, ответ. ​

Answer 1

Нужно будет сделать пропорции

Answer 2

Calculating Atmospheric Pressure at 5 km Altitude

To calculate the atmospheric pressure at a height of 5 km, we can use the relationship between altitude and atmospheric pressure. The atmospheric pressure decreases with increasing altitude. The formula to calculate the atmospheric pressure at a certain altitude is given by:

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

Where: - P = atmospheric pressure at the given altitude - P0 = atmospheric pressure at sea level (given as 745 mm Hg in this case) - L = temperature lapse rate (approximately -0.0065 K/m) - h = altitude (in meters) - T0 = standard temperature at sea level (approximately 288 K) - g = acceleration due to gravity (approximately 9.81 m/s^2) - M = molar mass of Earth's air (approximately 0.029 kg/mol) - R = universal gas constant (approximately 8.314 J/(mol*K))

Calculation

Substituting the given values: - P0 = 745 mm Hg (which is equivalent to 99.4 kPa) - L = -0.0065 K/m - h = 5000 m - T0 = 288 K - g = 9.81 m/s^2 - M = 0.029 kg/mol - R = 8.314 J/(mol*K)

We can calculate the atmospheric pressure at 5 km altitude using the provided formula.

Solution

Using the given formula and substituting the values: P = 745 * (1 - (-0.0065 * 5000) / 288)^(9.81*0.029/(8.314*-0.0065))

Calculating the value gives us the atmospheric pressure at 5 km altitude.

Answer

The atmospheric pressure at a height of 5 km is approximately 44.1 kPa.

This calculation is based on the standard atmospheric pressure formula and the given values.