Explain how the van der waals equation of state, which interrelates pressure, p, molar volume, v, and absolute temperature, t, equation (1), takes account of departures from ideal-gas behaviour. what is the significance of the constants a and b in the equation and what are the units of a and b? (b) (p+(b) rt (1) [3 marks] for any equation of state used to describe the behaviour of a gas, what three mathematical cond itions must be satisfied at the critical point? (c) [2 marks] (d) if the van der waals equation is used, derive three equations which may be solved simultaneously to find values for the critical pressure, p, critical molar volume, ve, and critical temperature, te, in terms of the constants a, b and r note you are not being asked to sol ve the equations [3 marks] given that the critical compressibility factor = and a 30? pc and b = e rewrite the van der waals equation explicitly for reduced pressure, p, as a function of reduced temperature, tr, and reduced molar volume . [5 marks] (e) in terms of reduced variables, the thermal expansivity of a gas, a, is given by (f) equation (2) (2) pr starting from the equation you derived in part (e), derive an equation for a in terms of , and t

Neutrons are placed in a magnetic field with magnitude 2.30 t. part a part complete what is the energy difference between the states with the nuclear spin angular momentum components parallel and antiparallel to the field? δe δ e = 2.77×10−7 ev previous answers correct part b part complete which state is lower in energy: the one with its spin component parallel to the field or the one with its spin component antiparallel to the field? which state is lower in energy: the one with its spin component parallel to the field or the one with its spin component antiparallel to the field? parallel antiparallel previous answers correct part c part complete how do your results compare with the energy states for a proton in the same field (δe=4.05×10−7ev)? how do your results compare with the energy states for a proton in the same field this result is smaller than but comparable to that found in the example for protons. this result is greater than but comparable to that found in the example for protons. previous answers correct part d the neutrons can make transitions from one of these states to the other by emitting or absorbing a photon with energy equal to the energy difference of the two states. find the frequency of such a photon. f f = mhz previous answersrequest answer incorrect; try again; 5 attempts remaining