Answer
$12185ft$
Work Step by Step
$\bigtriangleup PE = 2.25*10^4Btu$
$F_g = 2500lbf$
$z_1=5183ft$
$\bigtriangleup PE = mg(z_2-z_1)$
$F_g = mg$
$\frac{\bigtriangleup PE}{mg} = \frac{2.25*10^4Btu}{2500lbf} \frac{778ft.lbf}{1lbf} = 7002ft $
$z_2 = \frac{\bigtriangleup PE}{mg}+z_1$
$z_2 = 7002+5183 = 12185ft$