MATLAB Help

Question 1

Consider a separation process in which a stream of water, ethanol, and methanol enters a process unit.Two streams leave the unit, each with varying amounts (percentage) of the three components:

First set up material-balance equations for each of the three components as followings and add them to your script as comment:

Water:(0.5) (100) = 0.2m_tops+ 0.65m_bottoms

50 = 0.2m_tops+ 0.65m_bottoms

Ethanol:100x = 0.35m_tops+ 0.25m_bottoms

0 = 100x + 0.35m_tops+ 0.25m_bottoms

Methanol:100 (1 0.5 x) = 0.45m_tops + 0.1m_bottoms

50 100x + 0.45m_tops+ 0.1m_bottoms

Next, arrange the equations in your script into a matrix representationas A*X=B. Use matrix algebra to solve the linear equation A*X=B and find X.

What is the percentage of Ethanol in the inlet stream?

What is the percentage of Methanol in the inlet stream?

What is the mass flow rate of the top outlet stream?

What is the mass flow rate of the bottom outlet stream?

tops XHyo = 0.20 XEthanol-0.35 Methanol0.45 min100 XH2 = 0.50 Ethanolx XMethanol-1-0.5-X mbottoms "Ethanol-0.25 Methanol 0.10 Figure 1. Separation process with three component