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. Without doing any calculations, predict the signs ( + or − ) (+or−) of Δ . E k ΔE. k and Δ . E p ΔE. p, where Δ Δ signifies ( outlet − inlet ) (outlet−inlet). Briefly explain your reasoning. Calculate Δ . E k ΔE. k and Δ . E p ΔE. p (W), assuming that the methane behaves as an ideal gas. If you determine that Δ . E k ≠ − Δ . E p ΔE. k≠−ΔE. p, explain how that result is possible.