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Energy of an ideal Bose gas in four dimensions
Again consider an ideal boson gas in four dimensions. The N particles in the gas each have mass m and are confined to a box of dimensions L × L × L × L. Calculate the energy and the specific heat as functions of temperature below the Einstein temperature.
Air flows into the atmosphere from a nozzle and strikes a vertical plate as shown in Fig. A horizontal force of 9 N is required to hold the plate in place. Determine the velocity at the exit, V1, and the velocity within the pipe, V2.
Consider a model of a building whose base moves as a result of an earthquake. The building can be modeled as a single-degree-of-freedom spring-mass system where the building mass is lumped on top of two beams used to model the walls of the building.
air cools an electronics compartment by entering at 60 f and leaving at 105 f. the pressure is essentially constant at
water flowing from the oscillating slit produces a velocity field givin by vuosinwt-yvoi voj where uo vo and w are
air enters a constant-diameter tube with an average velocity of 2 ms at a temperature of 400 k and a pressure of 0.12
a coal-fired power plant uses a large lake for its cooling needs. the power plant output is 300.0 mw. if the plant uses
two streams of r-134a flow into a non-insulated diffuser. stream 1 enters at a pressure of 2 bar and 20?c state1 with a
Mass m is connected to M by a spring of constant k and rest length l0. Mass M is connected to a fixed wall by a spring of constant k and rest length l0 and a damper with constant b. Find the equations of motion of each mass
a system consisting of 3 lb of water vapor in a piston- cylinder assembly initially at 350degf and a volume of 71.7 ft3
Determine the orientation of an underground pipe that is transporting glycerine between two buildings. The pipe that is transporting the flow has a variable diameter with negligible viscous effects. At one point (A) in the pipe, the pressure and velo..
Determine the maximum tensile and compressive stresses σt and σc, respectively, in the crank
The following cycle involves 3 kg of air. From 1 to 2 is polytropic compression where P1=150 kPa, T1=360 K, P2=750 kPa, V2=0.54 m^3 and n=1.2 . From 2 to 3 is constant pressure cooling and from 3 to 1 is constant temperature heating. Determine the to..
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