Construct quantum mechanical operators in the position representation for the following observables (1) kinetic energy in the y-dimension (2) kinetic energy in the 3-d space (3) the inverse square separation, x2 (4) electric dipole moment in the 3-d space (5) the z-component of the angular momentum

Science and technology are interdependent. advances in one lead to advances in the other. give an example of this phenomenon.

Air initially at 0.75 bar, 1000 k, and occupying a volume of 0.12 m^3 undergoes two processes. process 1-2: the air is compressed isothermally until the volume is halved. process 2-3: the air undergoes a constant pressure process until the volume is halved again. assume ideal gas behavior. a) determine the mass of the air, in kg. b) the work and the heat transfer for each of the two processes, in kj. (100 kj = 1 bar . m^3)

6–43 a food department is kept at 2128c by a refrigerator in an environment at 308c. the total heat gain to the food department is estimated to be 3300 kj/h and the heat rejection in the condenser is 4800 kj/h. determine the power input to the compressor, in kw and the cop of the refrigerator.