Consider an Einstein solid in the low-temperature limit N ≫ q ≫ 1, which has the multiplicity Ω = ( eN q )q (a) Find a formula for the temperature of an Einstein solid in the limit q ≪ N. Let U = qε where ε is the energy per quantum. (b) Solve for the energy as a function of temperature to obtain U = Nεe−ε/kT . What is limT→0 U?

If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 380j of energy to the room?

Mutt and jeff are running along a path each pushing a cart loaded with rocks. if mutt's wagon has a mass two times greater than jeff's and they want to stay together, arriving at their destination at the same time, what must happen? a) jeff should slow down so mutt can catch up. b) mutt must use half as much force to push his cart. c) mutt must use twice as much force to push his cart. d) mutt and jeff will use the same force, but mutt will take bigger steps.

Road users moving into your lane, brake lights, and abrupt changes in road surface are a. rare at night b. indicators of potential hazards c. not worth worrying about before you reach them d. no problem for experienced drivers