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

Multiple Choice

Solve the variation problem.
-The volume $\mathrm { V }$ of a given mass of gas varies directly as the temperature $\mathrm { T }$ and inversely as the pressure P. A measuring device is calibrated to give $\mathrm { V } = 258 \mathrm { in } ^ { 3 }$ when $\mathrm { T } = 430 ^ { \circ } \mathrm { C }$ and $\mathrm { P } = 25 \mathrm { lb } /$ in $^ { 2 }$ . What is the volume on this device when the temperature is $150 ^ { \circ } \mathrm { C }$ and the pressure is $20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

A) 7.5 cubic inches
B) 122.5 cubic inches
C) 102.5 cubic inches
D) 112.5 cubic inches