determine values for K7 and K8.

Polyolefins such as polyethylene undergo slow degradation when placed in air. Degradation occurs by reactions with atmospheric oxygen that lead to the formation of carbonyl groups (groups containing oxygen), gradual chain scission (reduction in molecular weight), and loss of strength. The concentration of carbonyl groups can be monitored with

time using the absorbance of the infrared spectroscopy peak at 1741 cm1. In the table below, carbonyl absorbance at 1741 cm−1 versus time data for the oxidation of a 200 μm thick low density polyethylene (LDPE) film at 373 K are tabulated.

 

 

(aThe kinetics for this reaction obey a power-law expression of the form

 

in which is the absorbance, represents time, and Kand Kare constants. Using data in the above table, determine values for Kand K8.

(bCompute the amount of time required for an absorbance of 0.20.

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erive the differential equations in terms of the liquid heights h1 and h2.

  Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom….

Derive the differential equation relating the liquid height h and the volume flow rate qi at the inlet.

  Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is qi. The liquid leaves the tank through an orifice….

Derive the differential equations in terms of the liquid heights h1 and h2.

Figure 7.20 shows a hydraulic system of two interconnected tanks that have the same cross-sectional area of A. A pump is connected to tank 1. Assume that the relationship between the….