2. Consider your stomach as a chemical reactor. When you devour a delicious bar of chocolate...
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2. Consider your stomach as a chemical reactor. When you devour a delicious bar of chocolate in about a minute, it acts as a one-time initial input of 310g of food entering the stomach. In response, the stomach starts producing gastric liquids (acids), which are continuously excreted into the stomach at a rate of Qin = 0.6 as the chocolate is digested. The fluid L hour L hour so the also leaves the stomach to the small intestine at the flow rate of Qout = 0.6 volume of liquid in the stomach stays constant at 1.2L. The undigested chocolate is well-mixed with the stomach acid, and can flow out with the stomach acid into the small intestine. The chocolate is also digested away in the stomach with a rate constant of k (1st order elementary reaction). Complete the steps in the sub-questions (a-c) below to determine: how many grams of chocolate will remain undigested in your stomach 1.5 hours after eating? a. Write the differential mass balance for the mass of chocolate in the stomach. b. Derive an expression/equation for the mass of chocolate as a function of time. C. Use the equation from 2b to calculate how many grams of chocolate will remain undigested in your stomach 1.5 hours after eating. O in = 0.6 V.K.C Qout Cout hour V= 1.2 L k= 1.23 1.23 hour 2. Consider your stomach as a chemical reactor. When you devour a delicious bar of chocolate in about a minute, it acts as a one-time initial input of 310g of food entering the stomach. In response, the stomach starts producing gastric liquids (acids), which are continuously excreted into the stomach at a rate of Qin = 0.6 as the chocolate is digested. The fluid L hour L hour so the also leaves the stomach to the small intestine at the flow rate of Qout = 0.6 volume of liquid in the stomach stays constant at 1.2L. The undigested chocolate is well-mixed with the stomach acid, and can flow out with the stomach acid into the small intestine. The chocolate is also digested away in the stomach with a rate constant of k (1st order elementary reaction). Complete the steps in the sub-questions (a-c) below to determine: how many grams of chocolate will remain undigested in your stomach 1.5 hours after eating? a. Write the differential mass balance for the mass of chocolate in the stomach. b. Derive an expression/equation for the mass of chocolate as a function of time. C. Use the equation from 2b to calculate how many grams of chocolate will remain undigested in your stomach 1.5 hours after eating. O in = 0.6 V.K.C Qout Cout hour V= 1.2 L k= 1.23 1.23 hour
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