Internal Energy of an ideal gas

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SUMMARY

The internal energy of an ideal gas remains constant when the temperature is held constant, as demonstrated in the discussion regarding 0.158 mol of an ideal gas at 67.0 degrees Celsius with an initial pressure of 1.19 atm. The formula for internal energy, U = (1/2)nRT, indicates that internal energy is dependent solely on temperature (T) for ideal gases. Since the temperature does not change during the process, the change in internal energy (ΔU) is zero. This conclusion is confirmed by the participants, emphasizing that for ideal gases, internal energy is independent of volume changes when temperature is constant.

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  • Knowledge of thermodynamic principles
  • Basic algebra for manipulating equations
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Students in thermodynamics, physics enthusiasts, and anyone studying the properties of gases and their internal energy dynamics will benefit from this discussion.

TFM
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[SOLVED] Internal Energy of an ideal gas

Homework Statement



The temperature of 0.158 mol of an ideal gas is held constant at 67.0 degrees Celsius while its volume is reduced to a fraction of 20.0 % of its initial volume. The initial pressure of the gas is 1.19 atm.

What is the change in its internal energy?

Homework Equations



U = \frac{1}{2}nRT (Per degrees of Freedom)

The Attempt at a Solution



I tried putting in the values to get U, but it doesn't say how many deggress of Freedom, so I triued using three (Monatomic) But this is wrong. Is there another Formula for the Internal Energy, becasue there are several similar questions, but none seem to be used with the releveant formula above?

So any help/idea will be very greatly appreciated,

TFM
 
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hmm U depends only on T, as you can see from the equation.
And In the question, it is mentioned that T is kept constant. (n doesn't change anyway and R is a constant)

so change in U = ??
 
As there is no change intemprature, would there be no change in U, then?

TFM
 
Yes, if I'm not missing something.

This is valid for ideal gases only, though.
 
I just put 0 into MasteringPhysics, and it is the right answer. Thanksm, Raze2Dust! :smile:

Technically, the should the formula actually be:

U = \frac{1}{2}nR\Delta T per degree of Freedom?

Thanks,

TFM
 

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