V = 2.0 L, W = 0.5 L, = 5.0 mmol/L, c0 = 1.0 mmol/L. Suppose that the volume of the lungs is V,

V = 2.0 L, W = 0.5 L, γ = 5.0 mmol/L, c0 = 1.0 mmol/L.
Suppose that the volume of the lungs is V, the amount breathed in and out is W, and the ambient concentration is γ mmol/L. For each of the given sets of parameter values and the given initial condition, find the following:
a. The amount of chemical in the lungs before breathing
b. The amount of chemical breathed out
c. The amount of chemical in the lungs after breathing out
d. The amount of chemical breathed in
e. The amount of chemical in the lungs after breathing in
f. The concentration of chemical in the lungs after breathing
g. Compare this result with the result of using the general lungs discrete-time dynamical system (equation 1.9.1). Remember that q = W/V.