Solve
-The Volume $\mathrm { V }$ Of a Given Mass of Gas Varies Directly as the Mass

Multiple Choice

Solve.
-The volume $\mathrm { V }$ of a given mass of gas varies directly as the temperature $\mathrm { T }$ and inversely as the pressure $\mathrm { P }$ . A measuring device is calibrated to give $\mathrm { V } = 319.2$ in $^ { 3 }$ when $\mathrm { T } = 570 ^ { \circ }$ and $\mathrm { P } = 25 \mathrm { lb } / \mathrm { in } ^ { 2 }$ . What is the volume on this device when the temperature is $430 ^ { \circ }$ and the pressure is $20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

A) $V = 311$ in $^ { 3 }$
B) $\mathrm { V } = 21.5 \mathrm { in } ^ { 3 }$
C) $V = 301$ in $^ { 3 }$
D) $V = 291$ in $^ { 3 }$