Internal Energy & Ideal Gas: Is dH=Cp dT Always?

In summary, internal energy is the total energy stored in a system and an ideal gas is a theoretical gas that follows gas laws at all pressures and temperatures. The internal energy of an ideal gas is solely dependent on its temperature, and the equation for calculating change in enthalpy for an ideal gas is dH = Cp * dT. For an ideal gas, dH = Cp * dT is always true because the internal energy of an ideal gas is solely dependent on its temperature.
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kelvin490
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For an ideal gas, the internal energy is a function only of temperature, so that dU = CvdT can always be applied. I am not sure whether dH=CP dT is also always true even the pressure is not constant.
 
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kelvin490 said:
For an ideal gas, the internal energy is a function only of temperature, so that dU = CvdT can always be applied. I am not sure whether dH=CP dT is also always true even the pressure is not constant.
For an ideal gas, it is. dH = dU + d(pV) = dU + RdT=(Cv+R)dT

Chet
 
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1. What is internal energy?

Internal energy is the total energy stored in a system, including the kinetic and potential energies of its particles.

2. What is an ideal gas?

An ideal gas is a theoretical gas that follows the gas laws at all pressures and temperatures, and whose particles have no volume or intermolecular forces.

3. What is the relationship between internal energy and ideal gas?

The internal energy of an ideal gas is solely dependent on its temperature. This means that changes in pressure or volume will not affect the internal energy of an ideal gas.

4. What is the equation for calculating change in enthalpy for an ideal gas?

The equation is dH = Cp * dT, where dH is the change in enthalpy, Cp is the specific heat at constant pressure, and dT is the change in temperature.

5. Is dH=Cp dT always true for an ideal gas?

Yes, for an ideal gas, the change in enthalpy is always equal to the product of the specific heat at constant pressure and the change in temperature. This is because, as mentioned earlier, the internal energy of an ideal gas is solely dependent on its temperature.

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