Question

A piston at 2095 torr contains a gas that occupies a volume of 4.7 L. What pressure would have to be placed on the piston to force the volume to adiust to 1.54

Answer 1

To solve this problem we have to apply Boyle's Law, that states that the product of the pressure and the volume of a system of ideal gases is a constant, this can be expressed as:

`P\cdot V=k`

When there is a change in the system, this Law can be expressed as:

`P_1V_1=P_2V_2`

In this case, P1 has a value of 2095torr, V1 a value of 4.7L and V2 a value of 1.54L, use these values to find P2:

`\begin{gathered} P_2=(P_1V_1)/(V_2) \\ P_2=(2095torr\cdot4.7L)/(1.54L) \\ P_2=6393.8torr \end{gathered}`