A large tank is filled with methane gas at a concentration of 0.720 kg/m3. The v
ID: 2204948 • Letter: A
Question
A large tank is filled with methane gas at a concentration of 0.720 kg/m3. The valve of a 2.00-m pipe connecting the tank to the atmosphere is inadvertantly left open for 13.0 hours. During this time, 6.60x10-4 kg of methane diffuses out of the tank, leaving the concentration of methane in the tank essentially unchanged. The diffusion constant for methane in air is 2.10x10-5 m2/s. What is the cross-sectional area of the pipe? Assume that the concentration of methane in the atmosphere is zero.
A large tank is filled with methane gas at a concentration of 0.720 kg/m3. The valve of a 2.00-m pipe connecting the tank to the atmosphere is inadvertantly left open for 13.0 hours. During this time, 6.60x10-4 kg of methane diffuses out of the tank, leaving the concentration of methane in the tank essentially unchanged. The diffusion constant for methane in air is 2.10x10-5 m2/s. What is the cross-sectional area of the pipe? Assume that the concentration of methane in the atmosphere is zero.Explanation / Answer
just insert the values into this equation: J=D(d{phi}/dx) ----- fick's law of diffusion.
J - flux
D - diffusion coefficient
phi - concentration
x - length parameter
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