$1$

Write steady$-$state mass balances for each room and solve the resulting linear algebraic equations for the concentration of carbon monoxide in each room.

Calculate the carbon monoxide level in each section using the Gauss$-$Seidel method. Show two iterations $($hand calc$).$ Calculate the corresponding errors. Use $c1=c2=c3=c4=10$ as initial value

Show complete solution using excel

Hint: Develop steady$-$state mass balances for each room. For example, the balance for the smoking section $($room $1)$ is:

$W_{\text{s}\text{m}\text{o}\text{k}\text{e}\text{r}}+Qa{C}_2-Q_2{C}_1+E_{13}(C_3-C_1)=0$

$($Load$)+($Inflow$)($outflow$)+($mixing $-$ shown in broken lines$)$

The restaurant has decided to put a no$-$smoking policy. The change resulted in reducing the smoker load to zero. Re$-$assess how this change impact the carbon monoxide load in each room.

Re$-$write the steady state condition with the changes for each room.

Use the Gauss$-$Seidel method to solve the problem; show one iteration $($hand calc$).$ Calculate the corresponding errors.

Show complete solution using excel

The restaurant further to creating a no smoking policy, implemented a strategy to minimize carbon monoxide concentration. In this case, assume a screen is constructed, and there is no mixing between the sections.

Develop steady$-$state mass balance for each room.

Use guass seidel to solve the problem show one iteration. solve the rest until ea using excel