$2)$ Now consider a car intake system. Before flowing past the intake valve, the intake encounters approximated as $1$ m of $6$ cm diameter pipe. Along the length of the intake, there are approximately two $\backslash (90^\{\backslash$circ$\}\backslash )$ flanged elbows with a radius of curvature of $4$ x the pipe diameter and a butterfly throttling valve. The throttling valve has a loss coefficient given by the diagram below. Determine the pressure at the end of the intake system just upstream of the valve for valve opening angles of $\backslash (45^\{\backslash$circ$\}\backslash )$ and $\backslash (90^\{\backslash$circ$\}\backslash )$ if the flow rate is $0\mathrm{.}004\backslash (\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash ),$ the temperature is $\backslash (100^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ and the intake gas has the same properties as air. You can use the charts attached below to solve. Where needed you can assume the tubing is perfectly smooth.