Solve.
-The volume $\mathrm { V }$ of a gas varies inversely as the pressure $P$ on it. The volume of a gas is $260 \mathrm {~cm} ^ { 3 }$ under a pressure of $20 \mathrm {~kg} / \mathrm { cm } ^ { 2 }$. What will be its volume under a pressure of $40 \mathrm {~kg} / \mathrm { cm } ^ { 2 }$ ?
A) $130 \mathrm {~cm} ^ { 3 }$
B) $494 \mathrm {~cm} ^ { 3 }$
C) $520 \mathrm {~cm} ^ { 3 }$
D) $137 \mathrm {~cm} ^ { 3 }$

Question

Quizplus · Accepted Answer

The volume of a gas varies inversely with pressure, so $V_1P_1 = V_2P_2$. Substituting the given values, $260 \times 20 = V_2 \times 40$, solving for $V_2$ gives $130 \mathrm{~cm}^3$.

Solve -The Volume V\mathrm { V }V Of a Gas Varies Inversely as the Pressure

Solve
-The Volume $\mathrm { V }$ Of a Gas Varies Inversely as the Pressure