Question

У подножия горы высотой 4км давление составило 746 мм рт ст .определить давление на гору

Answer 1

Ответ:

1) Известно, что при подъеме на каждые 10 метров давление понижается на 1 мм ртутного столба.

2) 4км это 4000м

3) 4000км:10=400 мм рт.ст (разница давления между вершиной горы и её подножьем)

4) так как мы поднимаемся в гору, то давление будет падать. 746-400=346мм рт. ст

Ответ: 346мм рт.ст будет на вершине горы

Answer 2

Calculating Pressure at the Base of the Mountain

To calculate the pressure at the base of the mountain, we can use the formula for pressure:

Pressure = Force / Area

Given: - Height of the mountain = 4 km - Pressure at the base of the mountain = 746 mm Hg

First, we need to convert the height of the mountain from kilometers to meters: - 1 km = 1000 meters - Therefore, the height of the mountain = 4 km * 1000 m/km = 4000 meters

Now, we can calculate the pressure at the base of the mountain using the formula for pressure. The force in this case is the weight of the air above the base of the mountain, and the area is the base of the mountain.

Calculating Pressure at the Top of the Mountain

To calculate the pressure at the top of the mountain, we need to consider the decrease in pressure with increasing altitude. The pressure decreases with altitude due to the decrease in the weight of the air above.

The relationship between pressure and altitude can be approximated using the barometric formula:

P(h) = P(0) * (1 - (L * h) / T)^((g * M) / (R * L))

Where: - P(h) = pressure at altitude h - P(0) = pressure at sea level - L = temperature lapse rate - h = altitude - T = temperature at sea level - g = acceleration due to gravity - M = molar mass of Earth's air - R = universal gas constant

Given: - Pressure at the base of the mountain = 746 mm Hg - Height of the mountain = 4 km

We can use the barometric formula to calculate the pressure at the top of the mountain.

Conclusion

By using the barometric formula, we can calculate the pressure at the top of the mountain based on the given pressure at the base and the height of the mountain.