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

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

Step-by-step 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`

`(V)/(T) = C`,c=constant

`(V_1)/(T_1) =(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).