Question

What will happen to the volume of a gas if its absolute temperature triples (increases by a factor of three) as the amount of gas and the pressure are held constant?

Answers:
select the correct answer below:

A. The volume will decrease by a factor of three.

B. The volume will triple (increase by a factor of three).

C. The volume will double (increase by a factor of two).

D. The volume will be cut in half (decrease by a factor of two).

Answer 1

Answer:

B. The volume will triple (increase by a factor of three).

Explanation:

From Charles law (Temperature -Volume law):

We know that the volume of a given amount of gas held at constant pressure is directly proportional to the Kelvin temperature.

$V \propto T$

$\frac{V}{T} = C$,c=constant

$\frac{V_1}{T_1} =\frac{V_2}{T_2}$

Which means if temperature increases,then volume will also increase.

Here the absolute temperature is increasing by a factor of $3$,so the volume will also increase by a factor of $3$.

So our final answer is option B which is that the volume will triple (increase by a factor of 3).