Q$1(10$ pts$).$ Consider the exothermic oxidation of sulfur dioxide gas $(S{O}_2)$ to sulfur trioxide

gas $(S{O}_3)$ :

$2S{O}_2(g)+O_2(g)harr2S{O}_3(g),H_{rxn}=-198\mathrm{.}4k\frac{J}{m}ol$

Assume the reaction is at equilibrium in the reactor. Please explain how the equilibrium would

change if:

A$)$ Temperature is increased.

B$)$ Product is taken out of the reactor.

Q$2(15$ pts$).$ You are provided the description of a simple water purification system used in a

small community. The system involves several key stages: sedimentation, filtration, and

disinfection.

Imagine a simple block diagram consisting of:

Input: Water Source $-$ This is where water is sourced from a natural reservoir.

Stage $1$: Sedimentation Tank $-$ Water flows into a tank where heavy particles settle to the bottom.

Stage $2$: Filtration System $-$ Water passes through filters that remove smaller particulate matter.

Stage $3$: Disinfection Unit $-$ Water is treated with chlorine or UV light to kill any remaining pathogens.

Output: Clean Water to Community $-$ Purified water is piped to community homes and facilities.

Draw the block diagram. Identify where in the process controls should be implemented to

ensure effective water purification and list the process variables that need to be controlled at

each point you identified $($Note: Use the block diagram to determine where controls are most

critical$).$

Q$3(15$ pts$).$ I would like you to help me calculate the heat requirement of a living room shown

below. The living room in consideration is $663$ meters $($length $$ width $$ height$).$ The floor

is covered with $5mm$ thick wood parquet, while two sides of the room are made of internal

brick walls, each of which is $11mm$ thick. The other two sides comprise floor$-$to$-$ceiling glass

windows and look outside, where the temperature is $5C.$ Neighbors below keep their

apartment at $21C,$ while the rooms on the other side of the brick walls are maintained at $22C.$

Thermal conductivities of wood, brick and glass are $0\mathrm{.}2,0\mathrm{.}4$ and $0\mathrm{.}8\frac{W}{m}*K,$ respectively.

Assume the ceiling is insulated very well$-$insulated, so heat loss through the ceiling is

negligible.

If the glass windows are $5mm$ thick, what is the heating rate required to keep the living room

at $25C(W)?$