Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL. The mercury used to fill the cylinder weighs 40,500 mg. Calculate the density of mercury.

Therefore, the density of mercury is 1.8g/mol

Explanation:

To calculate the density of a substance, we use the equation:

Density = mass / volume

we are given,

Mass of mercury = 40,500 mg = 40.5g

Volume of mercury = 22.5 mL

inserting the values in the equation

density of mercury =  40.5g / 22.5 mL

density of mercury = 1.8g/mol

Therefore, the density of mercury is 1.8g/mol

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.