Ideal gas: Temperture at 1 atm

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SUMMARY

The discussion centers on calculating the temperature of an ideal gas using the formula U = (3/2) * n * R * T. Given a total internal energy of 3770 J and 3 moles of gas at 1 atm, the initial calculation yielded an incorrect temperature of 101 K instead of the correct value of 303 K. The discrepancy arises from a potential misunderstanding of whether the energy is given as 3770 J or 3770 J/mole, which significantly impacts the temperature calculation.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with thermodynamic concepts, specifically internal energy
  • Knowledge of the gas constant R (8.314 J/(mol·K))
  • Basic algebra for solving equations
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  • Review the ideal gas law and its applications in thermodynamics
  • Study the derivation and implications of the internal energy formula U = (3/2) * n * R * T
  • Learn about the significance of units in thermodynamic calculations
  • Explore common mistakes in thermodynamic problem-solving and how to avoid them
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This discussion is beneficial for students and professionals in physics and engineering, particularly those studying thermodynamics and gas laws, as well as anyone involved in calculations related to ideal gases.

Baronen
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Summary: U=3/2*n*R*T

Can some of you help me with this

The total internal energy of an ideal gas is 3770 J. If there are 3 moles of the gas at 1 atm, what is the temperature of the gas?

I use U=3/2*n*R*T but get the wrong answer, (101 K) but it should be 303 K

[Moderator's note: Moved from a technical forum and thus no template.]
 
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Baronen said:
Summary: U=3/2*n*R*T

Can some of you help me with this

The total internal energy of an ideal gas is 3770 J. If there are 3 moles of the gas at 1 atm, what is the temperature of the gas?

I use U=3/2*n*R*T but get the wrong answer, (101 K) but it should be 303 K

[Moderator's note: Moved from a technical forum and thus no template.]
Hi Baronen
The only thing I can think of is with this line.
The total internal energy of an ideal gas is 3770 J

Does it say 3770J,
or
3770 J/mole
Otherwise I get the same answer as you.
 
Hey 256Bits

Thanks for the reply.

The question is formed as stated above.
But if you look at it, would a idealgas be 101 K at 1 atm if you have 3 moles of it (that is very cold).

Baronen
 

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