Question

Во сколько раз увеличится объём пузырька воздуха, поднявшегося при постоянной температуре с глубины 8км на поверхность? Атмосферное давление нормальное.

Answer 1

Po=10^5 Па

P=Po+ro*g*h =10^5+1000*10*8000=801*10^5 Па

T=const - 

P*V1 = Po*V2

V2 / V1 = P/Po = 801*10^5 / 10^5 = 801 

Ответ: в 801 раз.

Answer 2

Calculating the Volume Increase of an Air Bubble

To calculate the increase in volume of an air bubble rising from a depth of 8 km to the surface at constant temperature, we can use Boyle's Law, which states that the pressure of a given mass of gas is inversely proportional to its volume at constant temperature. The formula for Boyle's Law is:

P1V1 = P2V2

Where: - P1 = initial pressure - V1 = initial volume - P2 = final pressure - V2 = final volume

Given that the atmospheric pressure at the surface is normal, which is approximately 101.3 kPa, and assuming the temperature remains constant, we can calculate the increase in volume of the air bubble.

Calculation

The pressure at the depth of 8 km can be calculated using the hydrostatic pressure formula:

P = P0 + ρgh

Where: - P = pressure at depth - P0 = pressure at the surface - ρ = density of the fluid (in this case, air) - g = acceleration due to gravity - h = depth

The density of air can be considered constant at approximately 1.225 kg/m^3, and the acceleration due to gravity is approximately 9.81 m/s^2.

Using the hydrostatic pressure formula, we can calculate the pressure at a depth of 8 km. Then, we can use Boyle's Law to find the increase in volume of the air bubble as it rises to the surface.

Answer

The increase in volume of the air bubble can be calculated using the above methods, and the result will be the factor by which the volume increases as it rises from a depth of 8 km to the surface at constant temperature.

Let's proceed with the calculations:

1. Calculate the pressure at a depth of 8 km using the hydrostatic pressure formula. 2. Use Boyle's Law to find the increase in volume of the air bubble as it rises to the surface.

I will now perform the calculations based on the provided information.