Answer
$T_2=384K$
Thus, the pump misses the criterion.
Work Step by Step
We know that for adiabatic process
$T_1V_1^{\gamma-1}=T_2V_2^{\gamma-1}$
This can be rearranged as:
$T_2=T_1(\frac{V_1}{V_2})^{\gamma-1}$
We plug in the known values to obtain:
$T_2=291(2)^{1.4-1}=384K$
