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Suppose a restaurant with a 4-meter ceiling height is modelled as two adjacent zones: Kitchen (50m^2)and dining room (200m^2). The outdoor CO2...

Suppose a restaurant with a 4-meter ceiling height is modelled as two adjacent zones:

Kitchen (50m^2)  and dining room (200m^2). The outdoor CO2 concentrations is 700 mg/m^3. And the outdoor air supply rate is as prescribed by ASHRAE Std. 62.1 for entrainment ventilation. 

Assume the density of air is 1.2kg/m^3

(1)  Based on ASHRAE Standard 62.1 How many people can be expected in each room at full capacity if there is a table ? 

(2)  Based on the prescriptive path of Std. 62.1 what is the minimum required ventilation rate for each zone? Assume the occupancy rate is constant  and based on part (1)

(3)  The mechanical ventilation rates from part (2) remain constant. The occupants (assume full capacity) each generate 35g/h of CO2. The kitchen equipment generates 0.5kg/h of CO2 all released indoors.  The kitchen exchanges air with the dining room at 1 kg/s rate. Until t = 0, the kitchen door was open. And at t= 0, an occupant complained about the cooking odour and the kitchen door is closed. Assume that no air exchange occurs between the kitchen and the dining room when the kitchen door is shut -0kg/s air exchange between the kitchen and the dining room. 

a.    Calculate  the steady-state CO2 concentration in each room at t=0

b.    Formulate a general CO2 mass balance equation for each zone using the explicit finite difference method

c.    Using the explicit finite difference method, determine the CO2 concentration in each zone at 5 minutes after this event (t=5min)

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