A 50 million gallon annual capacity ethanol plant is being p…

A 50 million gallon annual capacity ethanol plant is being planned.  Ethanol is to be produced from locally grown switchgrass using a lignocellulosic fermentation technology (biochemical platform).  Switchgrass is harvested once annually, contains 30% moisture and crop yield (includes moisture at harvest) is 14,000 kg/hectare.  Average organic composition of switchgrass on dry basis is as follows: Cellulose (C6H10O5)  = 50%; Hemicellulose (CH1.6O0.8) = 10%; Lignin= 15%; Ash= 8%; Extractives= 17%. Write balanced stoichiometries for the microbial conversion of cellulose and hemicellulose to ethanol.   Using the above stoichiometries, calculate the ethanol yield from cellulose and hemicellulose in g/g. What is the yield of ethanol from switchgrass as harvested? Express this yield in L per metric tonne. How much switchgrass as harvested is required annually as feedstock for the plant? Assume 100% conversion of sugars and no losses during processing.  Calculate the land area in hectares required to grow switchgrass that will meet the demand of the ethanol facility. 

The weekly quizzes are open books and notes, enabling you to…

The weekly quizzes are open books and notes, enabling you to refer to your materials to enhance your learning experience. It is important to note that the quizzes will be conducted using an Honorlock proctoring. This practice helps simulate exam conditions under a lockdown browser environment.Quizzes must be submitted by 11:59 PM on Wednesdays. To receive full credit, you must also submit your work through GradeScope. Please make sure all work is clear and complete to maximize your score.

Let A=1-10212-111 A = \begin{bmatrix}1 & -1 & 0 \\2 & 1 &2 \…

Let A=1-10212-111 A = \begin{bmatrix}1 & -1 & 0 \\2 & 1 &2 \\ -1 &1&1 \end{bmatrix} and define T:R3→R3 T : \mathbb R^3 \to \mathbb R^3 by T(x)=Ax T(\mathbf x) = A \mathbf x a.Find the image of 111 \begin{bmatrix}1\\ 1 \\ 1\end{bmatrix} under TT.b.Find all x∈R3 \mathbf x \in \mathbb R^3 such that T(x)=-387 T(\mathbf x) = \begin{bmatrix}-3\\ 8 \\ 7 \end{bmatrix}