Does Internal Energy of an Ideal Gas Change with Heat Transfer?

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The internal energy of an ideal gas is directly related to its temperature, meaning it only changes when the temperature changes. When heat is transferred at constant temperature, the internal energy remains unchanged because the gas does not experience a temperature change. At constant pressure, the internal energy can change depending on the temperature change resulting from the heat transfer. At constant volume, the internal energy increases with the addition of heat, as the temperature of the gas rises. Understanding the First Law of Thermodynamics and the concepts of heat capacity is essential for grasping these principles.
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Homework Statement


Hey guys, I am having trouble understanding how the ideal gases behave and I got these 3 questions in homework:

If an ideal gas is transferred, at constant temperature, 10 Joules of heat, does the internal energy change?

If an ideal gas is transferred, at constant pressure, 10 Joules of heat, does the internal energy change?

If an ideal gas is transferred, at constant volume, 10 Joules of heat, does the internal energy change?

Homework Equations


im guessing pV = nRT


The Attempt at a Solution



Im guessing that it changes with constant temperature, but I am not too sure about the other two. Could anyone explain to me why the internal energy does/does not change?
 
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Do you know the First Law of Thermodynamics? What is heat capacity at constant pressure and at constant volume of an ideal gas? How does the internal energy of an ideal gas depend on temperature? If you can not answer these questions, read your lecture notes. And if you still are not able to do your homework, come back.

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