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)

small = small current large mag large current

because growing process had stoped after 4-5 year

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min