To develop a seemingly more realistic model of accumulation of a contaminant in a shower, assume that the shower stall is separated from the rest of the bathroom by a partition that ends a little below the ceiling of the room. While the net rate of exhaust of air from the bathroom remains at Q m^3/s, an exchange of air between the two compartments occurs at a rate of Qce m/s. The arrangement is schematically shown in Figure 6.20.
Q, CL,in
QG, CGb
QG, Cas
V, C, Gb Partition wall
CG,in
Qi, CL,out Figure 6.20 Schematic of the two-compartment model.
Develop an expression for the transient VOC concentration in the shower based on the above model. Following data are given: V = 2.8 m^3; V = 8.1 m^3; Q = 0.0137 m^3/min; QGe = 0.11 m^3/min; Qc = 0.0378 m^3/min; K = 0.029 m^3/min; Cl,in = 3.4 g/litre; Cc.in = 0.0014 g/litre equilibrium relation, C = HC = 0.57.