Question

If the pressure of a gas sample is increases 4x and the absolute temperature remains the same, by what factor does the volume of the sample change?A. 1/4B. 02C. 1/2D. 08

Answer 1

The factor of change is 1/4.

Step-by-step explanation:

Since in this case we have a constant temperature, the changes in the pressure will affect the volume like the Boyle's Law formula explains:

`\begin{gathered} P_1*V_1=P_2*V_2 \\ \end{gathered}`

To find the change of the sample volume, let's replace the initial pressure (P1) with A, and let's increase the pressure (P2) 4x:

`\begin{gathered} P_1*V_1=P_2*V_2 \\ A*V_1=(A*4)*V_2 \\ (A*V_1)/(A*4)=V_2 \\ (1)/(4)V_1=V_2 \end{gathered}`

So, the factor of change is 1/4.