We are drilling at $10000ft$ in a formation with $20\%$ porosity, $30\%$ water saturation and $70\%$ gas saturation. The temperature is $640R,$ and the mud density is $11$ ppg$.$ The gas gravity is $\mathrm{.}72.$ The drilling rate is $100\frac{f}{h}r$ with a $12\%$ inch bit. The circulation rate is $300gpm.$ Formation water is $9\mathrm{.}04ppg,$ and formation rock density is $26ppg.$

a$.$ What is the mud density at the surface? Ppg

b$.$ What is the average density of the annular mud?

c$.$ At what rate $($SCFD$)$ will gas be liberated at the surface?