Relatively simple question regarding Thermo (entropy and heating)

  • Thread starter Thread starter asdfTT123
  • Start date Start date
  • Tags Tags
    Heating Thermo
asdfTT123
Messages
9
Reaction score
0
Problem 1:

Homework Statement


An ideal gas is heated reversibly at constant volume from T1 to T2. Calculate the entropy change
of the system, the surroundings, and the universe.

Homework Equations


dS = dq/T (reversible change)
and dq = CvdT (constant V)

The Attempt at a Solution


I know how to do the system:
dS = dq/T, so you can substitute the heat capacity for dq to get
dS = CvdT/T and integrate to get dS of the system to be Cv * ln(T2/T1)

Here is where I'm not sure...
Wouldn't the entropy of the surroundings just be the negative of that? I figure because it's a reversible process the entropy change of the universe is 0...correct? Please correct me on that. Also, is there a better expression or more intuitive solution for the entropy of the surroundings?

Problem 2:

Homework Statement


For a particular change of state, why is qrev>qirr? That is, why is heat flow greater for a reversible
change of state rather than when the same change of state is brought about irreversibly?

Homework Equations


None that I know of.

The Attempt at a Solution


Is it because in an irreversible process, heat is often dissipated away in other forms such as work, noise, etc...? Because the system is not in equilibrium for an irr process the heat flow is not always conserved. Is this correct and is there a better explanation for this problem?

Thanks!
 
Physics news on Phys.org
I think you are right in both problems.
For problem 2, you might be able to add some more quantitative arguments in terms of the second law.
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top