Methane enters a $3-cm$ ID pipe at $30C$ and $10$ bar with an average velocity of $5\frac{m}{s}$ and emerges at a point $200m$ lower than the inlet at $30C$ and $9$ bar. Calculate the $KE$ and $\frac{?}{{?}_{\frac{?}{?}}PE}$ assuming the methane behaves as an ideal gas. Assume steady$-$state condition.