State the equipartition theorem and use it to calculate the molar heat capacity in an isochoric process for: (i) a monoatomic gas; (ii) a diatomic gas. • state the relation between c, and cy for an ideal gas and use it to calculate the molar heat capacity in an isobaric process for: (i) a monoatomic gas; (ii) a diatomic gas. • consider an ideal gas which contains » moles of the monoatomic molecules and v moles of the diatomic molecules. (i) derive the molar heat capacity for the gas mixture in an isochoric process. (ii) derive the molar heat capacity for the gas mixture in an isobaric process. (iii) based on these calculations, derive the adiabatic coefficient. • consider a classroom where the air is at a temperature of 20°c and pressure of 1 atm. (i) using the equation of state for an ideal gas, estimate the average distance between air molecules in the classroom. (ii) using the random walk model for molecules, estimate the mean free path of air molecules in the classroom.

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 ..

Which statements describe the movement of ocean currents around the globe? check all that apply. strong winds force warm water to sink to the ocean floor. the coriolis effect causes warm and cold water to mix. cool dense water sinks to the ocean floor. warm water replaces cool surface water. wind blowing parallel to the shore causes upwelling of cool water.

6–48 bananas are to be cooled from 24 to 138c at a rate of 215 kg/h by a refrigeration system. the power input to the refrigerator is 1.4 kw. determine the rate of cooling, in kj/ min, and the cop of the refrigerator. the specific heat of banana above freezing is 3.35 kj/kg·8c.