Under steady state, a compressor is used to increase the pressure of an ideal gas air from 100 kpa to 1 mpa. meanwhile the temperature is also raised from 300 k to 500 k. to be safe, a separate stream of water is used to cool the air down to 320 k while the pressure of air remains unchanged during the cooling process. the temperature of the cooling water increases from 15°c to 30°c, while the pressure of the cooling water remains the same at 1 bar approximately. assume the kinetic and potential energy change is negligible, there is no stray heat transfer from the heat exchanger to the surroundings. draw a p-v diagram, one for air identify state 1 to 3 on air p-v diagram. show work for how to obtain relative pressures and temperatures for this p-v diagram.

Dinate system, and a charge q = - 2.00 nc is placed s2 10 n> c. (a) what is the change in electric potential energy when the dipole moment of a molecule changes its orientation with respect to es from parallel to perpendicular? (b) at what absolute temperature t is the average translational kinetic energy 32 kt of a molecule equal to the change in potential energy calculated in part(: abovethistemperature, thermalagitationprevents the dipoles from aligning with the electric field.) placed in a uniform electric field e with magnitude 1.6 * 6 on the positive x-axis at x = 4.00 cm. (a) if a third charge q3 = +6.00 nc is now placed at the point x = 4.00 cm, y = 3.00 cm, find the x- and y-components of the total force exerted on this charge by the other two. (b) find the magnitude and direction of figure p21.62 ll uu 21.55 . torque on a dipole. an electric dipole with dipole moment ps is in a uniform external electric field es. (a) find the orientations of the dipole for which the torque on the dipole is zero. (b) which of the orientations in part (a) is stable, and which is unstable? (hint: consider a small rotation away from the equi- librium position and see what happens.) (c) show that for the stable orientation in part (b), the dipole’s own electric field tends to oppose the external field. 21.62 ..

What will a positive and a negative charge do if they are separated from each other?

Along the line connecting the two charges, at what distance from the charge q1 is the total electric field from the two charges zero? express your answer in terms of some or all of the variables s, q1, q2 and k =14ï€ïµ0. if your answer is difficult to enter, consider simplifying it, as it can be made relatively simple with some work.