Methane enters a 3-cm ID pipe at 30°C and 10 bar with an average velocity of 5.00 m/s and emerges at a point 200 m lower than the inlet at 30°C and 9 bar. 

(a) Without doing any calculations, predict the signs (+ or -) of ΔĖk and ΔĖp, where Δ signifies (outlet-inlet). Briefly explain your reasoning. 

(b) Calculate ΔĖk and ΔĖp (W), assuming that the methane behaves as an ideal gas. 

(c) If you determine that ΔĖk ≠ ΔĖp, explain how that result is possible.