Consider a particle confined within a box in the shape of a
Question and Solution
Consider a particle confined within a box in the shape of a rectangular parallelepiped of edges Lx,Ly and Lz. The possib
63 % (375 Review)
Consider a particle confined within a box in the shape of a rectangular parallelepiped of edges Lx,Ly and Lz. The possible energy levels of this particle are then given by (2.1 3). (a) Suppose that the particle is in a given state specified by particular values of the three integers nx, ny, and nz. By considering how the energy of this state must change when the length Lz. of the box is changed quasistatically by a small amount dLx., show that the force exerted by the particle in this state on a wall perpendicular to the x axis is given by Fx=-dE/dLx. (b) Calculate explicitly the force per unit area (or pressure) on this wall. By averaging over all possible states, find an expression for the mean pressure on this wall. (Exploit the property that the average values nx^2 = ny^2 = nz^2 must all be equal by symmetry.) Show that this mean pressure can be very simply expressed in terms of the mean energy E of the particle and the volume V = LxLyLz of the box.
Your answer will be ready within 2-4 hrs. Meanwhile, check out other millions of Q&As and Solutions Manual we have in our catalog.
Crazy for Study is a platform for the provision of academic help. It functions with the help of a team of ingenious subject matter experts and academic writers who provide textbook solutions to all your course-specific textbook problems, provide help with your assignments and solve all your academic queries in the minimum possible time.
Disclaimer: Crazy For Study provides academic assistance to students so that they can complete their college assignments and projects on time. We strictly do not deliver the reference papers. This is just to make you understand and used for the analysis and reference purposes only.