Temperature of Water in a Moving Plane

In summary, the conversation discusses the relationship between translational kinetic energy and temperature, specifically in the context of placing a cup of water in a fast-moving jet. The question is raised as to why the temperature remains the same despite an increase in the cup's kinetic energy. The concept of internal energy is also mentioned, with the explanation that the cup's internal kinetic energy is relative to its own center of mass, while the total kinetic energy relative to the airport includes both the translational kinetic energy and the cup's velocity.
  • #1
eranium
4
0
Hello people,

i have been wondering if translational K.E = 3/2 RT, where T is the temperature, why is it that when we place a cup of water in a fast moving jet, the Temperature still remains the same, even though the K.E of the cup of water increases (due to the velocity of the jet)

would appreciate if someone help clear some doubts,
thanks in advance!
 
Science news on Phys.org
  • #2
I assume it's because the cup, and the surrounding air, are stationary relative to the vehicle.
 
  • #3
is it possible to explain this in terms of internal energy?
 
  • #4
The internal K.E. of the cup is T3/2 R relative to its own center of mass.

Relative to the airport, Total K.E. = (3/2)TR + (1/2)mv^2. (v being the speed of the center of mass).
 
  • #5


Hello there,

Your question is a good one and it is related to the concept of thermal equilibrium. When an object is in thermal equilibrium, it means that the temperature throughout the object is constant. This is because heat is constantly being transferred and distributed evenly throughout the object.

In the case of the cup of water in a moving jet, the water is still in thermal equilibrium even though the cup is moving at a high velocity. This is because the water is constantly exchanging heat with its surroundings, including the cup and the air inside the jet. The increase in translational kinetic energy of the cup does not affect the temperature of the water because the heat is being distributed evenly throughout the system.

It is important to note that the equation you mentioned, translational K.E = 3/2 RT, is a simplified version of the kinetic theory of gases and does not take into account the complex interactions of particles in a system. In reality, the temperature of the water may change slightly due to the motion of the cup, but it would be negligible compared to the overall temperature of the water.

I hope this helps to clear up any doubts you may have. Keep asking questions and exploring the fascinating world of science!
 

1. What is the effect of airspeed on the temperature of water in a moving plane?

The temperature of water in a moving plane is influenced by the airspeed. As the plane moves at a higher speed, the air around it also moves faster, causing an increase in air pressure and a decrease in temperature. This decrease in air temperature can cool the water in the plane.

2. Does the altitude of the plane affect the temperature of water in the cabin?

Yes, the altitude of the plane can have an impact on the temperature of water in the cabin. As the plane climbs to higher altitudes, the air pressure decreases, causing the temperature to drop. This can result in cooler water in the cabin.

3. Why does the water in a moving plane sometimes feel colder than it actually is?

This phenomenon is known as wind chill. When the air is moving, it can carry heat away from your body, making you feel colder than the actual temperature. This is why water in a moving plane may feel colder than it actually is.

4. Can the temperature of water in a moving plane affect the performance of the aircraft?

Yes, the temperature of water in a moving plane can have an impact on the performance of the aircraft. If the water is too cold, it can cause ice to form on the wings or other critical parts of the plane, affecting its aerodynamics and potentially causing safety issues.

5. How is the temperature of water in a moving plane regulated?

The temperature of water in a moving plane is typically regulated by the heating and cooling systems in the aircraft's cabin. These systems work to maintain a comfortable temperature for passengers and crew, while also preventing any potential issues caused by extreme temperatures.

Similar threads

Trivial Question - rate of heat loss from hot drink
    • Thermodynamics
Replies
13
Views
1K
Formula derivation connecting vertical water flowrate & horizontal distance moved by a suspended sphere
    • Introductory Physics Homework Help
6
Replies
207
Views
3K
Temperature changes and degrees of freedom and intermolecular forces
    • Thermodynamics
Replies
16
Views
5K
Biology Water Potential and Osmosis Potatoes Investigation
    • Biology and Chemistry Homework Help
Replies
6
Views
3K
Why do bubbles of air in water move up?
    • Mechanics
Replies
13
Views
4K
Temperature of a gas in a container
    • Thermodynamics
Replies
1
Views
961
Possible error sources in thermal conductivity experiment?
    • Thermodynamics
Replies
16
Views
12K
I Damped oscillator with changing mass
    • Classical Physics
4
Replies
131
Views
4K
PH of Water at Various Temperatures
    • Biology and Chemistry Homework Help
Replies
5
Views
2K
Isothermal Expansion of Water/Moving Boundary
    • Thermodynamics
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top