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:

$\begin{gathered} P_2=\frac{P_1V_1}{V_2} \\ P_2=\frac{2095torr\cdot4.7L}{1.54L} \\ P_2=6393.8torr \end{gathered}$