Internal Energy - If you solve this for and you find that...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Why is for an ideal gas in a thermal process? The total internal energy of an ideal gas can be found by adding the average kinetic energy of all the molecules. This is, therefore, where N is the number of molecules and is the kinetic energy per molecule. But recall that the kinetic theory of gases is also written with a kinetic energy in it, which is . (which is derived for a monatomic molecule since you see the 3/2 there). Therefore, we can make the substitution of for the kinetic energy (in red); which becomes . Now, remember both forms of the ideal gas law;
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: If you solve this for and , you find that; which will allow the internal energy equation to become the following by the substitution in red; The last step is to realize that is just , the molar specific heat of a monatomic gas. Therefore, the internal energy equation becomes; Which further means that the change of internal energy must be written; which agrees with the familiar equation that we have been using. For further information, please see page 498 in the textbook....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern