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? select the correct answer below: question 3 options: the volume will decrease by a factor of three. the volume will triple (increase by a factor of three). the volume will double (increase by a factor of two).

Explanation:

The expression for an Ideal Gas is:  

   (1)

Where:  

is the pressure of the gas  

is the volume of the gas  

the number of moles of gas  

is the gas constant  

is the absolute temperature of the gas  

Finding :

   (2)

If we are told the the amount of gas and pressure remain constant, but we increase the temperature by a factor of three; we will have to rewrite (2) with the new temperature :

   (3)

   (4)

Now, if we compare (2) with (4), it is clearly noticeable the volume of the gas has increased by a factor of 3.