Question

У подножия горы барометр показывает 1013 гПа, а на вершине 962 гПа. Какова примерно высота горы?

Answer 1

Ответ:

400 метров

Объяснение:

Давление считается по формуле P=hрg

g- константа равна 9,8

h высота

р - плотность воздуха равна 1,3 из таблицы плотности

переводим в СИ

1013 гПа = 101300 Па

962 гПа = 96200 Па

подставляем в формулу:

101300 = h * 1,3 * 9,8

h1 = 7951 м.

96200 = h * 1,3 * 9,8

h2 = 7551 м.

Разница между высотами составляет 400 метров. Значит высота горы 400 м.

Answer 2

Calculating the Approximate Height of the Mountain

To calculate the approximate height of the mountain based on the difference in barometric pressure between its base and summit, we can use the following formula:

Δh ≈ (T * R) / M * ln(P1/P2)

Where: - Δh = the height difference between the two points - T = average temperature of the air in Kelvins - R = the universal gas constant (8.314 J/(mol*K)) - M = molar mass of Earth's air (0.029 kg/mol) - ln = natural logarithm - P1 = pressure at the base of the mountain - P2 = pressure at the summit

Calculation Using Given Values

Given: - P1 = 1013 hPa - P2 = 962 hPa

We can use the average temperature at sea level, which is approximately 288 K.

Substituting these values into the formula, we get:

Δh ≈ (288 * 8.314) / 0.029 * ln(1013/962)

Calculating this gives us an approximate height difference between the base and summit of the mountain.

Let's calculate this.