What's the Volume of Air in Dan's Diving Bell at 10m Depth?

In summary, the problem involves finding the volume of air in Dan's diving bell after descending to a depth of 10 meters where the pressure doubles and the temperature drops to 7 °C. Using the equation P1 x V1/T1 = P2 x V2/T2, the attempt at a solution involves determining P1 and using it to find P2 and V2. However, P2 can be expressed in terms of P1 and the pressure at the surface is not needed.
  • #1
lillybelle14
1
0

Homework Statement


At the surface, where the temperature is 27 °C, the volume of air in Dan’s diving bell is 2 metres cubed. When he descends to a depth of 10 m the pressure doubles and the temperature drops to 7 °C. What volume of air does Dan have in his diving bell now?

Homework Equations


P1 x V1/T1 = P2 x V2/T2

The Attempt at a Solution


P1= ? P2= ?
V1= 2 metres cubed V2= ?
T1= 27 °C (300 Kelvin) T2= 7 °C (280 Kelvin)


Im having trouble finding out P1 and therefore I can't find out P2 and V2!
Please help me.
Thanks
 
Physics news on Phys.org
  • #2
lillybelle14 said:
Im having trouble finding out P1 and therefore I can't find out P2 and V2!
You don't need the actual pressure, just the fact that it doubles. Express P2 in terms of P1.

(Although: What's the pressure at the surface of the water?)
 

FAQ: What's the Volume of Air in Dan's Diving Bell at 10m Depth?

What is a diving bell?

A diving bell is a structure that allows divers to work underwater without having to resurface for extended periods of time. It is typically a large, bell-shaped chamber with an open bottom that is lowered into the water by a crane or cable.

What is the purpose of finding pressure in a diving bell?

Finding pressure in a diving bell is important because it allows divers to monitor and control the amount of pressure inside the bell. This is crucial for the safety of the divers, as too much pressure can lead to serious health risks such as decompression sickness.

How do scientists find pressure in a diving bell?

Scientists typically use a device called a pressure gauge to measure the pressure inside a diving bell. This gauge uses a diaphragm or a spring to indicate the amount of pressure being exerted on it. The measurement is usually given in units of pounds per square inch (psi) or bars.

What factors affect the pressure in a diving bell?

The pressure inside a diving bell is affected by several factors, including the depth of the bell, the temperature of the water, and the air supply to the bell. As the depth increases, the pressure also increases, and as the temperature decreases, the pressure also decreases.

What are the safety precautions for maintaining pressure in a diving bell?

To ensure the safety of divers, it is important to monitor and maintain the pressure inside a diving bell. This can be done by regularly checking the pressure gauge and adjusting the air supply to the bell as needed. It is also important to follow proper decompression procedures when resurfacing to avoid decompression sickness.

Similar threads

Thermodynamics problem. Have I answered this correctly?
Replies
1
Views
1K
Engineering Calculating the mass of air in a pressurised air tank
Replies
14
Views
2K
Change of Entropy Calculation - How to do this without Final Pressure Volume?
Replies
6
Views
5K
I How Do You Calculate Equilibrium Conditions After Mixing Two Different Gases?
Replies
3
Views
2K
Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
Replies
8
Views
1K
I How Do You Calculate Initial Pressure and Final Volume in Adiabatic Expansion?
Replies
7
Views
2K
How Does a Rising Bubble's Volume Change with Pressure and Temperature?
Replies
3
Views
3K
Gauge Pressure of Tire After Driving
Replies
1
Views
8K
Relative humidity of the air entering a compressor
Replies
3
Views
4K
Thermal physics problem -- Pressure and temperature of air in a refrigerator
Replies
2
Views
4K

Hot Threads

Recent Insights

Back
Top