Cv and Cp

[Anya Holbrook 1E]

Did we ever learn how to convert between Cv and Cp and vice versa? If we did, what's the equation?

[Mohamed Mido]

My TA gave us the formula I don't think professor lavelle covered it. it's Cv = Cp — R. Accordingly, Cp = Cv + R
R being the gas constant 8.314

[Katelynn Shaheen 2C]

Cp=Cv+R
Cv=Cp-R
R=8.314 J/kgK

[alette1a]

Cv represents the heat capacity for an ideal gas at constant volume.
Cp represents the heat capacity for an ideal gas at constant pressure.

Cp = Cv + R, where R = 8.314 J/K*mol
This means that the molar heat capacity at constant pressure is greater than the molar heat capacity at constant volume.

[Mikayla Kwok 3K]

Like others said above, I don't think we learned the conversion in lectures, but it's in the textbook!
Cp = Cv + R, which is why you see Cp = (5/2)R and Cp = (3/2)R for atoms.

[Sreeram Kurada 3H]

Cv and Cp are two different things. Cv is the ideal gas constant for constant volume, while Cp is the ideal gas constant for constant pressure.

[rhettfarmer-3H]

The best way to remeber this is between the relationship that Cv is Cp-r and therefore, you just memorize the chart of the CP.

[Sean Wang 1F]

To convert between Cv and Cp, you can use the formula Cp = Cv + R.

[Kiara Phillips 3L]

Not sure if we did but this is the equation you can use ( Cp = Cv + R).

[Jared Limqueco 3E]

The formula for this is Cv = Cp - R

[Ranen_Chang_2G]

I don't think this was covered in lecture, but the formula is Cp=Cv+R.

[David Y]

Cp = Cv + R

[Sabrina Galvan 3J]

Could someone explanation the equation conceptually?

[Susanna Givan 2B]

I believe that we don't need to know this for the test, and instead, we use the R values. One is the gas constant when the system is at constant volume and the other is the gas constant when the system is at constant pressure.

[Levon Grigoryan]

Cp = Cv + R, and the R = 8.314 J/K/mol because it is a constant. So If you have one of the other ones Cp or Cv you can easily solve for x to find the other.


Hope this helps.