Nitrogen gas at high pressure and 298 K is contained in a 2-m × 2-m × 2-m cubical container made of natural rubber whose walls are 3 cm thick. The concentration of nitrogen in the rubber at the inner and outer surfaces are 0.067 kg/m3 and 0.009 kg/m3, respectively. The diffusion coefficient of nitrogen through rubber is 1.5 × 10?10 m2/s. The mass flow rate of nitrogen by diffusion through the cubical container is
(a) 8.1?×?10?10 kg/s
(b) 3.2?×?10?10 kg/s
(c) 3.8?×?10?9 kg/s
(d) 7.0?×?10?9 kg/s
(e) 1.60?×?10?8 kg/s
(d) 7.0?×?10?9 kg/s
s=2 [m]
L=0.03 [m]
rho_A_1=0.067 [kg/m^3]
rho_A_2=0.009 [kg/m^3]
A=6*s^2
D_AB=1.5E-10 [m^2/s] "Table 14-3b"
m_dot_diff=D_AB*A*(rho_A_1-rho_A_2)/L
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