Two identical cylinders, a and b, contain the same type of gas at the same pressure. cylinder a has twice as much gas as cylinder b. which is true? a. ta = tbb. not enough information to make a comparison. c. ta > tbd. ta < tb

D. TA < TB

Explanation:

From general gas equation, we know that:

PV  = nRT

PV/R = nT

where,

P = pressure of gas

V = volume of gas

R = General gas constant

T = temperature of gas

n = no. of moles of gas

FOR CYLINDER A:

PV/R = (nA)(TA)   eqn (1)

FOR CYLINDER B:

PV/R = (nB)(TB)   eqn (2)

Because, Pressure, Volume are constant for both cylinders.

Comparing eqn (1) and (2)

(nA)(TA) = (nB)(TB)

It is given that the amount of gas in cylinder A is twice as much as the gas in cylinder B. This means the number moles in cylinder A are twice as much as no. of moles in cylinder B.

nA = 2(nB)

using this in eqn:

2(nB)(TA) = (nB)(TB)

TA = (1/2)(TB)

TA = 0.5 TB

Therefore it is clear that the correct option is:

D. TA<TB

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.

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