Change in Internal Energy in Accelerated Gas Chambers

In summary, the conversation discusses how internal energy changes in an accelerated cabin containing two tourus shaped insulated closed pipes filled with equal amounts of ideal gas. The question is focused on calculating the change in internal energy per second in both cases, where one tourus has an adiabatic partition wall and the other changes angular velocity by w radians per second. The conversation also includes considerations such as the insulation of the tourus, the gas's viscosity, and whether the comparison is qualitative or quantitative. The problem is clarified to involve calculating the change in internal energy per second when the cabin is accelerated linearly.
  • #1
gianeshwar
226
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Summary:: How internal energy changes in a acclerated cabin.

There are two tourus shaped insulated closed pipes containing equal amounts of ideal gas under same conditions.
B has a adiabatic partion wall.
If both are to change angular velocity by w radians per second.
How internal energies will change in both?
 

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  • #2
What are your thoughts on this so far? Is the torus insulated? Is the gas considered to have viscosity? is this supposed to be a qualitative comparison?
 
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  • #3
Chestermiller said:
What are your thoughts on this so far? Is the torus insulated? Is the gas considered to have viscosity? is this supposed to be a qualitative comparison?
Sorry for hurridly writing the question .Here , w is angular acceleration of taurus w.r.t a perpendicular axis to plane of taurus through centre. Ignore viscus drag.
I need to calculate change in internal energy per second in both cases.
Not getting idea to start.
My basis of thinking is an analogous process in linear motion of a cabin of gas when the cabin gets acclerated linearly.
 
  • #4
gianeshwar said:
Sorry for hurridly writing the question .Here , w is angular acceleration of taurus w.r.t a perpendicular axis to plane of taurus through centre. Ignore viscus drag.
I need to calculate change in internal energy per second in both cases.
Not getting idea to start.
My basis of thinking is an analogous process in linear motion of a cabin of gas when the cabin gets acclerated linearly.
What is the exact word-for-word statement of this problem?
 

1. How does acceleration affect the internal energy of a gas chamber?

Acceleration can increase the internal energy of a gas chamber by increasing the kinetic energy of the gas particles. As the gas particles move faster, they collide more frequently and with greater force, leading to an increase in internal energy.

2. Is there a relationship between the change in internal energy and the acceleration of a gas chamber?

Yes, there is a direct relationship between the change in internal energy and the acceleration of a gas chamber. The greater the acceleration, the greater the change in internal energy.

3. Can the change in internal energy be negative in an accelerated gas chamber?

Yes, the change in internal energy can be negative in an accelerated gas chamber. This can occur if there is a decrease in the kinetic energy of the gas particles, such as when the chamber is decelerating or when there is a decrease in temperature.

4. How does the mass of the gas particles affect the change in internal energy in an accelerated gas chamber?

The mass of the gas particles does not directly affect the change in internal energy in an accelerated gas chamber. However, it can indirectly affect it by influencing the acceleration and velocity of the particles, which in turn affects their kinetic energy and thus the change in internal energy.

5. Can the change in internal energy in an accelerated gas chamber be measured?

Yes, the change in internal energy in an accelerated gas chamber can be measured using various methods, such as measuring the temperature, pressure, and volume of the gas before and after acceleration. These measurements can then be used to calculate the change in internal energy using the first law of thermodynamics.

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