Suppose the concept hungry is represented by the following f

Suppose the concept \"hungry\" is represented by the following fuzzy set of times (in hours) since the last meal: (Assume that the universe of possible times includes the natural numbers between 1 and 8).

{ 0.1/1, 0.3/2, 0.5/3, 0.7/4, 0.9/5, 1.0/6, 1.0/7, 1.0/8 }

a. Represent the concept \"very hungry\" by using the CON operator.

Solution

Let us assume x as concentration of TCA.

We are required to convert gal to litre and feet to metre

200 gal = 757 L

1.5 x 10⁶ gal = 5678117.6 L

10ft = 1 Metre

Rate of mass in lake =x * 200 gal/min

Loss of TCA through Volatilization = 3 x 10^-4 µg/cm2.s * {5678117.6/1000 m3}/1

                 = 1.7034 µg/s

Loss due to biodegradation = biodegradation rate x loss of TCA by Volatilization

                                            = 6X10^-3 * 1.7034 µg/s = 0.0075 µg/s

Outlet flow rate of TCA =1.5*10⁶/200 =7500 gal = 28390 Litre

From conservation law

Rate of mass in = rate of mass out+ loss due to volatilization + loss due to biodegradation

5678117 * x = 28390 + 1.7034 + 0.0075 = 28391.71

x= 28391.71/5678117 = 0.005000 µg/l = 5 ppb