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two underground aquifers hold a constant volume of water, V1[L] and V2[L]. a factory pollutes the first aquifer at a variable rate p=p(t)[g/hr]. water from
two underground aquifers hold a constant volume of water, V1[L] and V2[L]. a factory pollutes the first aquifer at a variable rate p=p(t)[g/hr]. water from the first aquifer flows into the second aquifer at a constant rate F[L/hr]. let c1=c1(t)[g/L] be the concentration of pollutant in the first aquifer. we are primarily interested in the concentration of pollutant in the second aquifer, c2=c2(t)[g/L], because a well pulls drinking water from it. the following two coupled ODEs model ci(t) for i{1,2} : V1dtdc1=p(t)Fc1(t)V2dtdc2=Fc1(t)Fc2(t). the variables are already in deviation form, as the steady-state is pollution-free (c1=c2= p=0) draw the causal loop diagram showing how the input(s) affect the output(s). derive the transfer function G(s)=C2(s)/P(s) that governs the dynamics of how the rate of pollution p(t) affects the concentration of pollutant in the second aquifer c2(t). write it in the box below, in standard gain/time-constant form
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