Solve the problem.
-The volume $V$ of a gas varies inversely as the pressure $P$ on it. The volume of a gas is $250 \mathrm{~cm}^{3}$ under a pressure of $18 \mathrm{~kg} / \mathrm{cm}^{2}$. What will be its volume under a pressure of $36 \mathrm{~kg} / \mathrm{cm}^{2}$ ?
A) $500 \mathrm{~cm}^{3}$
B) $125 \mathrm{~cm}^{3}$
C) $113 \mathrm{~cm}^{3}$
D) $475 \mathrm{~cm}^{3}$

Question

Quizplus · Accepted Answer

The volume of a gas varies inversely as the pressure, which means $V \propto \frac{1}{P}$ or $VP = k$ (a constant). Given $V = 250 \mathrm{~cm}^{3}$ at $P = 18 \mathrm{~kg/cm}^{2}$, we find $k = 250 \times 18$. For $P = 36 \mathrm{~kg/cm}^{2}$, using $k = V \times 36$, we solve for $V$ to find $V = \frac{250 \times 18}{36} = 125 \mathrm{~cm}^{3}$.

Solve the Problem VVV Of a Gas Varies Inversely as the Pressure

Solve the Problem $V$ Of a Gas Varies Inversely as the Pressure