Recent content by musicure

  1. M

    Find eccentricity of orbit given position and velocity

    Okay, thank you so much for all your help.
  2. M

    Find eccentricity of orbit given position and velocity

    Ohhh would I use v_circular=sqrt(GM/r) ? then i get v_circular=8035m/s which is much greater than v=61m/s So that means its an ellipse?
  3. M

    Find eccentricity of orbit given position and velocity

    Okay thank you. So I used E=K+U = 0.5v^2 -GM/r to find the orbital energy and I got E=-6.46E7 (joules?) By the way, do we just assume the mass of the asteroid is negligible in the energy eqn? So then the asteroid is in a bound orbit since the energy is negative, right? However, how would I...
  4. M

    Find eccentricity of orbit given position and velocity

    Homework Statement Hey, I need to find whether an asteroid is in a "bound orbit" around the Sun. Furthermore, describe the shape of the orbit (elliptical or circular). The only information I have been given is its velocity and position at a random point. v_o=61m/s r_o=13.75AU=2.06E12m I also...
  5. M

    Helmholtz Energy Proof (thermodynamics)

    Okay! I got it.. So E=-T2[-\frac{1}{T^2}F + \frac{∂F}{∂T}\frac{1}{T}] E= F + (\frac{∂F}{∂T})(-T) E= F+(-S)(-T) E= F+TS F=E-TS Thank you!
  6. M

    Helmholtz Energy Proof (thermodynamics)

    Homework Statement Define the Helmholtz free energy as F=E-TS. Show that the internal energy E=-T2\frac{∂}{∂T}(\frac{F}{T})V Homework Equations S=(\frac{∂F}{∂T})V Perhaps \beta=\frac{1}{\tau} and \tau=kBT The Attempt at a Solution E = F+TS E = F+T(\frac{∂F}{∂T})V . . . (some...
  7. M

    Chemical potential in Thermodynamics to find latent heat of vaporization

    Oh I see.. I didn't realize μo was 0 for gas phase. So the answer is simply ΔE = N(Δuo) + N(Δv)kT/2 = N(0.12eV) + N(2)k(700)/2 = 17398 J/mol? Thank you so much, that makes a lot more sense... I knew that ΔE couldn't possibly be zero lol Thanks again!
  8. M

    Chemical potential in Thermodynamics to find latent heat of vaporization

    My textbook is called Thermodynamics & Statistical Mechanics by Stowe Here's a link to it in my dropbox... https://www.dropbox.com/s/06ohioz83zdmwyc/Thermodynamics%20%26%20Statistical%20Mechanics%20%20by%20Stowe.pdf We're in about chapter 4-5 and I thought to use the Work equation when I saw...
  9. M

    Chemical potential in Thermodynamics to find latent heat of vaporization

    Thanks. Yes, it should be -1.9224x10-21 J/mol And you're right, I should be using the other work equation... -W = E = Nμo + \frac{NvkT}{2} I'll give this question another try now, because I've had some time to think about it. Liquid state v=3 Nμo =...
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    Chemical potential in Thermodynamics to find latent heat of vaporization

    Homework Statement The latent heat of vaporization of a substance is defined as the amount of heat required to transform the substance from its liquid into its vapor phase. A certain material has a boiling point of 700K and its molecules have three degrees of freedom in the liquid phase but...
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