Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-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 $\mathrm{V}=588.0$ in. ${ }^{3}$ when $\mathrm{T}=490^{\circ}$ and $\mathrm{P}=10 \mathrm{lb} / \mathrm{in} .{ }^{2}$ , what is the volume when $\mathrm{T}=220^{\circ}$ and $\mathrm{P}=15 \mathrm{lb} / \mathrm{in} .2$ ?

A) $216.0 \mathrm{in.} 3$
B) 166.0 in. 3
C) 146.0 in. 3
D) 176.0 in. 3