In thermodynamics, the energy u(s, v) is a function of the entropy, s and volume, v. show that the expressions for pressure (p=-uv) and temperature (t=us) are dictated by the chain rule along with the first law of thermodynamics: du=tds-pdv. now consider the specific case of an ideal monatomic gas with u(s, v)=3/2 nk [ (n/v) exp[s/nk]]2/3 where n is the number of atoms and k is boltzmann’s constant. show that this expression for the energy gives the usual equation of state pv=nkt.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

explanation:

wheres the pic

conduct current i mean it makes sense