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

In summary, the conversation centers around the behavior of ideal gases and the impact of heat transfer on their internal energy. The three questions in the homework inquire about the change in internal energy under different conditions of constant temperature, pressure, and volume. The person asking for help mentions their understanding that internal energy may change with constant temperature, but they are unsure about the other two scenarios. They are seeking an explanation for why the internal energy does or does not change in each case. Additionally, they are advised to review the First Law of Thermodynamics, as well as the concepts of heat capacity and the relationship between internal energy and temperature for ideal gases.
  • #1
jean28
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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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  • #2
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.

ehild
 

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

What is an ideal gas?

An ideal gas is a hypothetical gas that follows the ideal gas law, which states that the pressure, volume, and temperature of the gas are directly proportional to each other. In other words, the behavior of an ideal gas can be described by a simple mathematical relationship.

What are the assumptions of the ideal gas law?

The assumptions of the ideal gas law include that the gas particles have no volume, there are no intermolecular forces, and the collisions between particles are elastic. Additionally, the gas must be at a low pressure and high temperature.

How is the ideal gas law expressed mathematically?

The ideal gas law is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the ideal gas constant, and T is temperature.

What is the ideal gas constant?

The ideal gas constant, denoted by the symbol R, is a proportionality constant that relates the different properties of an ideal gas. It has a value of 0.0821 L·atm/mol·K or 8.314 J/mol·K.

How is the ideal gas law used in real-life applications?

The ideal gas law is used in various real-life applications, such as in the design of air conditioning and refrigeration systems, in the production of industrial gases, and in the study of atmospheric behavior. It is also used in the calculation of gas volumes and pressures in chemical reactions.

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