An engine manufacturer makes the claim that the engine they have developed will, on each cycle, take 100j of heat out of boiling water at 100∘c, do mechanical work of 80j, and exhaust 20j of heat at 10∘c. what, if anything, is wrong with this claim?

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?