The volume V of a gas varies inversely as the pressure P upon it. The volume of a gas is 200 cu cm under a pressure of 32kg/sq. cm
a. find the variation constant
b. what will be its volume under a presure of 40 kg/sq. cm
I think Jhevon should have wrote it as:
$\displaystyle V = \frac{k}{P}$
Where $\displaystyle V$ is the volume and $\displaystyle P$ the pressure.
In the first question, to find the constant $\displaystyle k$ you need to put the given values for $\displaystyle V$ and $\displaystyle P$ in the equation, and solve for $\displaystyle k$.
In the second question you now make use of that value for $\displaystyle k$ when solving for the volume, $\displaystyle V$.