A diver accustomed to standard snorkel tubing of length 25 cm tries a self-made tube of length 8.6 m. During the attempt, what is the pressure difference (in kPa) between the external pressure on the diver's chest and the air pressure in the diver's lungs?

I've been trying to figure it by pascal's law somehow but it doesn't seem to be working for me. Help?

you can use the density of water and the depth to find the pressure

the "rule of thumb" for diving is one atmosphere for every ten meters of depth

Thanks!!

To solve this problem, you can use Pascal's law, which states that the pressure exerted at any point in a confined fluid is transmitted equally in all directions. In this case, we can consider the air in the snorkel tube as the confined fluid.

Here's how you can approach the problem:

1. Start by converting the length of the standard snorkel tubing from centimeters to meters. 25 cm is equal to 0.25 m.

2. Use Pascal's law to equate the pressure in the snorkel tube to the pressure in the diver's lungs:

Pressure in the snorkel tube = Pressure in the lungs

Let's say the pressure in the snorkel tube is P1 and the pressure in the lungs is P2.

3. The pressure in the snorkel tube can be calculated using the hydrostatic pressure formula:

P1 = ρ * g * h

where ρ is the density of air, g is the acceleration due to gravity, and h is the height of the tube.

We need to find ρ, so let's assume the air temperature is constant. The density of air at standard conditions (273.15 K and 101.3 kPa) is approximately 1.225 kg/m^3.

Plug in these values along with the height of the tube (8.6 m) to calculate P1.

4. To find P2, we can use the same formula:

P2 = ρ * g * h

In this case, the height (h) is the length of the standard snorkel tubing (0.25 m). Plug in these values to calculate P2.

5. Finally, subtract P2 from P1 to find the pressure difference:

Pressure difference = P1 - P2

Make sure to convert the pressure to kilopascals (kPa) for consistency.

By following these steps and performing the necessary calculations, you can find the pressure difference between the external pressure on the diver's chest and the air pressure in the diver's lungs.