Question

Объем пузырька газа, всплывающего на поверхность со дна озера, увеличился в 2 раза. Определить глубину озера. Температура воздуха на поверхности озера 27 (градусов С ), а на его дне 17 (градусов С ). Атмосферное давление нормальное.

Answer 1

V=2V0, V0--объем

Ра атм.давление

Т, Т0 температура

þ- плотность воды

h-глубина

 

на поверхности

V*Pa=2V0*Pa=vR*T

на глубине

V0*(Pa+þgh)=vR*T0

делим первое уравнение на второе

2V0*Pa /V0*(Pa+þgh) = vR*T /vR*T0

2*Pa /(Pa+þgh)= Т /Т0

h= ( 2*Pa*T0 / T   -Pa)/þg = (2*10^5*290/300  -10^5) /(1000*10)=

= 9,3333333333333333333333333333333= 9,33 м

 

Answer 2

Calculation of Lake Depth

To determine the depth of the lake, we can use the concept of hydrostatic pressure. The hydrostatic pressure at any point in a fluid is given by the equation:

P = ρgh

Where: - P is the pressure at the point, - ρ is the density of the fluid, - g is the acceleration due to gravity, and - h is the height or depth of the fluid column.

In this case, the fluid is water, and we need to find the depth of the lake. We can use the change in pressure between the surface and the bottom of the lake to calculate the depth.

Calculation Steps

1. Calculate the pressure at the surface of the lake using the atmospheric pressure at the given location. 2. Calculate the pressure at the bottom of the lake using the density of water and the depth of the lake. 3. Use the difference in pressure to calculate the depth of the lake.

Calculation Details

1. Calculate the pressure at the surface of the lake: - The atmospheric pressure is given as normal. - We can assume that the atmospheric pressure at the surface of the lake is equal to the given normal atmospheric pressure. - The atmospheric pressure is typically measured in units of pascals (Pa). - We can convert the given atmospheric pressure to pascals if necessary.

2. Calculate the pressure at the bottom of the lake: - The pressure at the bottom of the lake is equal to the atmospheric pressure plus the pressure due to the water column. - The pressure due to the water column can be calculated using the density of water, the acceleration due to gravity, and the depth of the lake. - The density of water is approximately 1000 kg/m³. - The acceleration due to gravity is approximately 9.8 m/s². - The depth of the lake can be calculated using the change in volume of the gas bubble.

3. Calculate the depth of the lake: - The depth of the lake can be calculated by subtracting the pressure at the surface from the pressure at the bottom of the lake. - The depth can be calculated using the equation: h = (P_bottom - P_surface) / (ρg).

Answer

To calculate the depth of the lake, we need the change in volume of the gas bubble. Unfortunately, the given information does not provide any details about the change in volume. Therefore, it is not possible to determine the depth of the lake based on the given information.

If you have any additional information or if there is anything else I can help you with, please let me know!