One mole of h,0 is cooled from 25°c to 0°c and frozen. all the heat is delivered to a second mole of h, o initially at 25°c, heating it to 100°c. the refrigerating machine is operating at maximum theoretical efficiency (no entropy created) (a) how much work must be done by the refrigerator? (b) what fraction of the second mole is converted to steam at 100 c? (the heat capacity of water is 18 cal/mole degree: the heat of vaporization at 100°c is 9730 calmole; the heat of fusion at 0°c is 1438 cal/mole.)

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

What is the equation for electrical work?

Agroup of monkeys is trying to cross the river in a rowboat. the maximum buoyant force on the rowboat is 2,000 n. the weight of the rowboat is 1,000 n. each monkey has a weight of 150 n. how many monkeys can safely cross in the rowboat at one time? explain your reasoning, including any calculations you used to find the answer.