The volume of an ideal gas is adiabatically reduced from 151 l to 80.6 l. the initial pressure and temperature are 1.50 atm and 260 k. the final pressure is 3.61 atm. (a) is the gas monatomic, diatomic, or polyatomic? (b) what is the final temperature? (c) how many moles are in the gas?

gas is dioatomic

T_f = 330.0 K

Explanation:

Part 1

below equation is used to determine the type Gas by determining value

where V_i and V_f is initial and final volume respectively

and P_i and P_f are initial and final pressure

\gamma = 1.38

therefore gas is dioatomic

Part 2

final temperature in adiabatic process is given as

substituing value to get final temperature

T_f = 330.0 K

Part 3

determine number of moles by using following formula

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.