Is the following total differential exact? df(g,h) = 7g(g^3+ h^2)jdg + 2h^4(3g^2 + 7h^2)jdh. Could this total differential describe a state function?
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Is the following total differential exact? df(g,h) = 7g(g^3+ h^2)jdg + 2h^4(3g^2 + 7h^2)jdh. Could this total differential describe a state function?
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- The value of a partition function roughly represents the maximum energy of the states at a given temperature. O True FalseA conduction electron is confined to a metal wire of length (1.46x10^1) cm. By treating the conduction electron as a particle confined to a one-dimensional box of the same length, find the energy spacing between the ground state and the first excited state. Give your answer in eV. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 AnswerI need solution question 7
- The Morse oscillator modeling a different diatomic molecule has D = 384 kJ/mole and hw = 1240 cm-¹. (Again, 11.9627 J/mole = 1 cm ¹.) ✓ нал (a) What is the energy of the pictured eigenfunction? Report the energy in cm¹ above the minimum in the potential well. (b) How close to the dissociation limit is this state in kJ/mole, that is, what is the energy difference between this state and molecular dissociation?4. a) Consider a square potential well which has an infinite barrier at x = 0 and a barrier of height U at x = L, as shown in the figure. For the case E L) that satisfy the appropriate boundary conditions at x = 0 and x = o. Put the appropriate conditions on x = L to find the allowed energies of the system. Are there conditions for which the solution is not possible? explain. U E L.Consider the sheet formed by the intersection of the curves: x = 0, x = 4, y = 0, y = 3 [=] cm, with a variable density of mass per unit area ρ(x,y) = xy [=] g/cm2 . Write and evaluate multiple integrals to calculate the following: a. The area of the sheet [=] cm2 . b. The mass of the sheet [=] g. c. The shell moments about the x & y axes (Mx & My) [=] g∙cm. d. The position of the center of mass of the sheet ( , ) [=] cm.