a cylinder with a radius of 40cm and a depth of 50cm is filled with air at a temperature of 20°c and a pressure of 1.0atm, as shown in figure (a). the piston has a final mass. until equilibrium at height h as in figure (b). 25.0kg stood on the piston to blow air with a temperature of 20.0°c as shown (c). a. how much does the piston move down when the dog is standing on it? b. what is the air temperature equal to the piston and the dog up to height hi?

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.