Question

The pressure and absolute temperature of an ideal gas are both tripled, the volume is __________. not changed

increased nine times
decreased to one ninth
decreased to one third

Answer 1

Not Changed

Step-by-step explanation:

To know what happened with the volume you need to know the Ideal gas Law

`(P_(1)V_(1))/(T1) =(P_(2)V_(2) )/(T2)`

This law is a combination of the other four laws: Boyles's, Charles's, Avogadro's, and Guy-Lussac's.

The initial state is represented by P1, V1, T1 and the final by P2, V2, T2.

In this case:

`T_(2) =3T_(1) \\P_(2) =3P_(1)`

Replacing on the equation

`(P_(1)V_(1))/(T1) =(3P_(1)V_(2))/(3T_(1) )`

If we clear from the equation V2

`(P_(1)V_(1)3T_(1))/(T_(1) 3P_(1)) ={V_(2)}`

Then cancel both P1 and T1

`(3V_(1))/(3) =V_(2)`

You will found that

`V_(1) =V_(2)`