4. (15%) Show that the energy fluctuations of a system in thermal equilibrium with a heat...
A thermos bottle contains 3.0kg of water and 2.0kg of ice in thermal equilibrium at 0ºC.How much heat is required to bring the system to thermal equilibriumat 50ºC?
Which of the following is true about the concept of "thermal equilibrium"? -When a system is in equilibrium, its temperature is at a maximum. -The gas in a closed container is in thermal equilibrium only if the density of gas is roughly equal in all parts of the container. -When a system is in equilibrium, its entropy is maximized. -Heat can flow in or out of a system that is in thermal equilibrium.
300 J of energy are transferred to a system in the form of heat while the thermal energy increases by 150 J. How much work is done on or by the system?
A proposed ocean thermal-energy conversion (OTEC) system is a heat engine that would operate between warm water (15°C) at the ocean's surface and cooler water (3°C) 2,000 m below the surface. What is the maximum possible efficiency of the system? Enter your answer accurate to two decimal places.
Warm-up questions (no points but no penalty): A. The "change in thermal energy" of a system is represented as Select B. Heat transfer is represented as Select C. If heat transfer is into a system, the quantity of heat transfer will be Select. D. If heat transfer is out of a system, the quantity of heat transfer will be:Select and energy will be Select due to that heat transfer. E. The "Q" in the first law of thermodynamics represents Select...
(12%) Consider a system of non-interacting fermions in equilibrium with a heat bath at temperature T and a particle reservoir at chemical potential fl. Assume that we can neglect different spin orientations of the fermions. Each particle can be in one of three single-partiele states with energies 0, A and 2A. (a) Find the grand partition function of the system. (b) Find the mean number of particles and mean energy of the system. (C) Find the most probable microstate of...
Thermal Efficiency Internal Heat Energy AQ (J) Energy Lost (1) Material Work (J) Thermal Efficiency (%) Aluminum 89.89 63.55 26.34 70.70 Brass 49.09 39.74 9.35 80.95 3.) Show your work. Aluminum Energy Lost-89.89-63.55=26.34 J Aluminum Thermal Efficiency (%). e=q/w = 63.55/89.89x100=70.70% Friction Heating - 5 Brass Energy Lost- 49.09-39.74=9.35J Brass Thermal Efficiency..(%)-e=q/w = 39.74/49.09 x100=80.95% Results and Questions 1.) Give the equation you used to calculate the Power required to lift the mass. 2.) How did the internal energy change...
When two objects are in thermal contact heat energy is transferred from the hot to the cold object until the temperature of both becomes equal (i.e., the objects are in thermal equilibrium). Suppose you pour 20-gram milk at 200C into a cup of 80-gram tea at 920C. Assume the specific heat of tea is 4.2 J/gram.0K and that of milk is 3.9 J/gram.0K Assuming no heat is lost into the surrounding air what is the temperature of the tea and...
500 J of work are done on a system in a process that decreases the system's thermal energy by 200 J. How much heat energy is transfered to or from the system
evaluate the integral)? 3) Show that when a system is in thermal and diffusive equilibrium with a reservoir, the average number of particles in the system is N =-ab where Fis the grand partition function, and the partial derivative is taken at fixed temperature and volume. krea where is