The amount of mass transported via a pipe over a period of time can be computed as

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The amount of mass transported via a pipe over a period of time can be computed as


M = Q()c(t)dt %3D


Where M = mass (mg), t1 = the initial time (min), t2 = the final time (min), Q(t) = flow rate (m3/min), and c(t) = concentration (mg/m3), The following functional representations define the temporal variations in flow and concentration.
Q(t) = 9 + 4 cos2 (0.4t)
c(t) = 5e-0.5t + 2e0.15t
Determine the mass transported between t1 = 2 and t2 = 8 min with Romberg integration to a tolerance of0.1%.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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