Please complete the following problem using your textbook, notes, calculator, and MATLAB resources on Moodle. Show all of your work, making sure to comment your code thoroughly. Submit MATLAB outputs using fprintf and the Publish capability.

Part $1$: Sulfur dioxide $($SO$2)$ is a toxic gas emitted by the burning of fossil fuels and must be removed from stack gas in order to comply with environmental regulations and minimize negative health impacts of this pollutant. A countercurrent scrubber can help accomplish this. The scrubber operates at atmospheric pressure and $25\backslash$deg C and uses pure liquid water to selectively absorb SO$2$ from stack gas. The liquid and vapor streams leaving the scrubber are in equilibrium. The liquid stream leaving contains only water and SO$2.$ The gas stream leaving contains inert gas, SO$2,$ and water vapor. The process flow diagram is given at right. The volumetric flow rate of the stack gas to be processed is $4\mathrm{.}0$ L$/$min and contains $1\mathrm{.}8$ mol $\%$ SO$2.$ Since SO$2$ is the only component in the stack gas that absorbs in the water, you can consider the other components of the stack gas as inert. At the operating conditions the Henry$$s Law constant for SO$2$ is $3\mathrm{.}2$x$104$ mmHg$/$mole fraction. For all parts of the problem, assume that the vapor phases are an ideal gas and the liquid phases are ideal solutions.

a$)$ Rewrite and label the process flow diagram with all relevant variables

b$)$ Write out all of the equations that need to be solved to determine the unknown variables, list the values of any variables given in the problem statement, and look up any relevant data that you need. You do not need to solve the equations at this stage.

c$)$ Perform a degree of freedom analysis to show that there is one degree of freedom for this problem.