Solve the problem by writing a variation model. Under constant temperature, the volume occupied by a gas varies inversely to the pressure applied. If the gas occupies a volume of 24 cubic inches under a pressure of 5 pounds per square inch, find the volume when the gas is subjected to a pressure of 10 pounds per square inch.
A) $15 \mathrm { in } ^ { 3 }$
B) $13 \mathrm { in } ^ { 3 }$
C) $12 \text { in. }^{3}$
D) $14 \mathrm { in } ^ { 3 }$
E) $11 \mathrm { in } ^ { 3 }$

Question

Quizplus · Accepted Answer

The volume of a gas varies inversely with pressure, so $V = k/P$, where $k$ is a constant. With $V = 24$ in$^3$ and $P = 5$ psi, $k = 24*5 = 120$. For $P = 10$ psi, $V = 120 / 10 = 12$ in$^3$.

Solve the Problem by Writing a Variation Model 15in315 \mathrm { in } ^ { 3 }15in3

Solve the Problem by Writing a Variation Model $15 \mathrm { in } ^ { 3 }$