Astyrofoam cooler has outside dimensions of b = 84.0 cm, w = 47.0 cm, and h = 59.0 cm. the thickness of each wall of the cooler, t, is 8.0 cm. styrofoam has a density, rho, of 1.0 kg/m3. (a) what is the volume of the styrofoam used in cubic inches? (b) what is the mass in lbm? (c) how many gallons of liquid could be stored in the cooler?

(a) the volume of the styrofoam used is 14214.37 in3.
(b) the mass is 9.6 lbm.
(c) the number of gallons of liquid that could be stored in the cooler is 1058.54 gal.

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

A30 kg weight lies on top of a massless piston of area a = 0.01 m2 the exterior air is at a (constant) p =1 atm and t = 27 c. the interior gas is 0.4 moles of (ideal) n2 and it has initial temperature 27.00 degrees c. 1. what is the initial pressure in the interior? a. 29.4 kpa b. 130.7 kpa c. 101.3 kpa the next three questions concern what happens when an amount of heat q is slowly added to the interior, raising the piston by 1 mm and raising the interior temperature to 27.40 c

Awave is produced in a rope. the wave has a speed of 33 m/s and a frequency of 22 hz.