Recent content by Vitor Pimenta

  1. Vitor Pimenta

    Sublimation: invariant heat or internal energy?

    Obviously, assuming equality between changes in internal energy is no longer valid. Even so, affirming equality of heat exchanged based on calorimetry also seems wrong (because latent heat of sublimation probably depends on pressure as well). An alternative I am thinking of is to treat CO2 as a...
  2. Vitor Pimenta

    Sublimation: invariant heat or internal energy?

    I think I get it now. You were arguing why you think the calorimetry equation is incomplete and (just the same as I think) you consider that the latent heat is not completely determined only by temperature, but also needs other parameters like external pressure. That is exactly why I question...
  3. Vitor Pimenta

    Sublimation: invariant heat or internal energy?

    Thanks for the response, I see you agreed with me that changes in internal energy should be the same for both IF the gas is treated as ideal. However, I could not understand what would be responsible for the "incompleteness" you saw in the calorimetry equation. Would it be that, instead of...
  4. Vitor Pimenta

    Sublimation: invariant heat or internal energy?

    Homework Statement Below, two experiments (1 and 2) are described, in which the same quantity of solid carbon dioxide is completely sublimated, at 25ºC: The process is carried out in a hermetically sealed container, non-deformable with rigid walls; The process is carried out in a cilinder...
  5. Vitor Pimenta

    Hamiltonian for spherically symmetric potential

    I get it somewhat, but this needs further exploration by me :smile: (yay, more fun incoming) Thanks again for all the help
  6. Vitor Pimenta

    Hamiltonian for spherically symmetric potential

    hilbert2, thanks for the reply ! I wonder what reference frame the Hamiltonian is about, since it includes the effect of a "false" force (centrifugal). Also, L^2 is not an operator, but a scalar number (which is a constant of the motion), so what was that about replacing it for a quantum...
  7. Vitor Pimenta

    Hamiltonian for spherically symmetric potential

    It seems that \frac{{{L^2}}}{{2m{r^2}}} has the form of a potential energy the centripetal force could produce ...
  8. Vitor Pimenta

    Hamiltonian for spherically symmetric potential

    Homework Statement A particle of mass m moves in a "central potential" , V(r), where r denotes the radial displacement of the particle from a fixed origin. From Hamilton´s equations, obtain a "one-dimensional" equation for {\dot p_r}, in the form {{\dot p}_r} = - \frac{\partial }{{\partial...
  9. Vitor Pimenta

    Limit of Series: $\frac{1}{n}$

    I have just found here that, given a sequence {\left\{ {{a_n}} \right\}_{n = 1}}^\infty , \mathop {\lim }\limits_{n \to \infty } {a_n} = L \Rightarrow \mathop {\lim }\limits_{n \to \infty } \left( {\frac{{{a_1} + {a_2} + {a_3} + ... + {a_n}}}{n}} \right) = L Instant answer ¬¬'
  10. Vitor Pimenta

    Limit of Series: $\frac{1}{n}$

    What should be the limit of the following series (if any ...) \frac{{1 + \frac{1}{2} + \frac{1}{3} + ... + \frac{1}{n}}}{n}
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