Answer
$V_1=V_2=64.78\ ft³$
$Q=919.4\ Btu$
Work Step by Step
For an ideal gas:
$PV=mRT$
Plugging in the values of $P_1=30\ psia, m=10\ lbm, T_1=65°F=524.67°R, R=0.3704\ psia.ft³/lbm.°R$
We get to: $V_1=V_2=64.78\ ft³$
For the final state ($P_2=2P_1=60\ psia)$
We get to $T_2=1049.34°R$
The energy balance for this system:
$Q=\Delta U $
Interpolating from table A-17E:
$u_1=89.42\ Btu/lbm, u_2=181.36\ Btu/lbm$
Therefore $Q=919.4\ Btu$
