Question

A sample of neon gas have it's volume quadruple and it's temperature held constant what will tmbe the new pressure relative of the initial pressure ?

Answer 1

To solve this problem and since the mass of the gas and the temperature remain constant we can use Boyle's Law; this law states that:

`P_1V_1=P_2V_2`

where P1 and V1 are the initial pressure and volume and P2 and V2 are the final pressure and volume.

In this case we have that the volume is quadruple, this means that:

`V_2=4V_1`

Plugging this values into Boyle's Law and solving for the final pressure we have:

`\begin{gathered} P_1V_1=P_2(4V_1) \\ P_2=(P_1V_1)/(4V_1) \\ P_2=(P_1)/(4)_{} \end{gathered}`

Therefore the new pressure will be a fourth of the initial pressure.