Question

If the pressure on a gas sample is tripled and absolute temperature is quadrupled, by what factor will the volume of the sample change?

Answer 1

`V_2=4/3`

Explanation:

The relationship between pressure, volume, and temperature can be expressed as:

`(PV)/T`

and we can compare one state to another by this expression:

`(P_1V_1)/T_1=(P_2V_2)/T_2`

In this case, we can say that `P_1, V_1, T_1` are all equal to 1 and have the pressure triple so that `P_2=3` and the temperature quadruple so that `T_2=4` and see what it is that `V_2` will equal:

`((1)(1))/1=((3)V_2)/4`

`1=3/4V_2`

`(1)color(red)(4/3)=(3/4)(V_2)color(red)(4/3)`

`V_2=4/3`