Round to the nearest tenth unless indicated otherwise.
-The volume $\mathrm { V }$ of a given mass of gas varies directly as the temperature $\mathrm { T }$ and inversely as the pressure $\mathrm { P }$. If $\mathrm { V } =$ $180.0$ in $^ { 3 }$ when $\mathrm { T } = 300 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$, what is the volume when $\mathrm { T } = 210 ^ { \circ }$ and $\mathrm { P } = 15 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?
A) $188.0 \mathrm { in } ^ { 3 }$
B) $158.0 \mathrm { in } ^ { 3 }$
C) $128.0 \mathrm { in } ^ { 3 }$
D) $168.0 \mathrm { in } ^ { 3 }$

Question

Quizplus · Accepted Answer

The volume of a gas varies directly with temperature and inversely with pressure, so $V = k \frac{T}{P}$ for some constant $k$. Using the given values to solve for $k$ and then applying it to find the new volume gives the correct answer.

Round to the Nearest Tenth Unless Indicated Otherwise V\mathrm { V }V

Round to the Nearest Tenth Unless Indicated Otherwise $\mathrm { V }$