In this exercise, we will investigate the chemical potential μ upon a change in volume. we will use the fact that f=u−ts and μ=∂f∂n. we will compute μ(vf)−μ(vi) in all questions, take n=20 moles (which is 20 times avagodro's number of particles), t=300 k, vi=0.01 m3,vf=0.02 m3 1) for a gas with an excluded volume: u=32nkt+const s=nkln(v−bn)+const if b=10-28 m3, compute μ(vf)−μ(vi)

Which of these questions might a character ask if the conflict is man versus self? a. which path should i take to better myself? b. which boulder will be too heavy for me to carry? c. which friend is going to ditch me today? d. all of the above

Ametal ring 4.20 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. these magnets produce an initial uniform field of 1.12 t between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.240 t/s . (a) what is the magnitude of the electric field induced in the ring? (b) in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?

Awave with a frequency of 500 hz is traveling at a speed of 100 m/s.what is the wavelength?