One approach to treating a liquid is to assume that it behaves as a "gas" of independent molecules, provided that: (1) the interaction of each molecule with the others is represented by a constant potential, -º; (2) each of the ni liquid molecules moves freely in a total volume v1 = nivo, where vo is the (constant) volume per molecule in the liquid phase. (a) calculate the chemical potential for ni liquid molecules at temperature t (b) treat liquid vapor (n, molecules in volume vg) as an ideal gas, and obtain chemical potential at temperature t (c) obtain an expression for the vapor pressure at temperature t in which the gas is in equilibrium with the liquid as a function of t, vo and 0. analyze the limits of high and low temperatures and comment physically.

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

Which of the following is not a part of the respiratory system? a. pharynx b. trachea c. pancreas d. larynx hurrim timed

Asystem containing an ideal gas at a constant pressure of 1.22×10^5 pa gains 2140 j of heat. during the process, the internal energy of the system increases by 2320 j. what is the change in volume of the gas?