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

Multiple Choice

Solve the problem. Round as appropriate.
-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 $\mathrm { V } =$ $286.0 \mathrm { in } ^ { 3 }$ when $\mathrm { T } = 260 ^ { \circ }$ and $\mathrm { P } = 10 \mathrm { lb } / \mathrm { in } ^ { 2 }$ , what is the volume when $\mathrm { T } = 260 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

A) $183.0 \mathrm { in } ^ { 3 }$
B) $133.0 \mathrm { in } ^ { 3 }$
C) $143.0 \mathrm { in } ^ { 3 }$
D) $123.0 \mathrm { in } ^ { 3 }$