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1. A container initially contains 2940 L of water. Sugar solution with 0.05 kg of sugar / L was pumped to the container at 7 L/ min. Assume perfect mixing at the container. The resulting solution then goes out of the container at the same rate. Determine the amount of sugar in kg present in the container at: a. 5 minutes after (round to 2 decimal places). b. At the beginning. c. If time approaches infinity.

1. A container initially contains 2940 L of water. Sugar solution with 0.05 kg of sugar / L was pumped to the container at 7 L/ min. Assume perfect mixing at the container. The resulting solution then goes out of the container at the same rate. Determine the amount of sugar in kg present in the container at: a. 5 minutes after (round to 2 decimal places). b. At the beginning. c. If time approaches infinity.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer item 1 only. Use Differential Equations at the start of your solution never use derive.

1. A container initially contains 2940 L of water. Sugar solution with 0.05 kg of sugar /L was pumped to the container at 7 L/min. Assume perfect mixing at the container. The resulting solution then goes out of the container at the same rate. Determine the amount of sugar in kg present in the container at: a. 5 minutes after (round to 2 decimal places). b. At the beginning. c. If time approaches infinity. 2. Determine the units of the rate constants of (a) Zero-Order and (b) Second-Order chemical reactions. The order of these reactions are with reference to reactant A only, following the reaction A>B. Use the unit M (mol/L) for A's concentration, and unit seconds for time t. Start your solutions to this problem with proper differential equations. 3. What will happen to Joshua's money if his money will be 6.33% compounded continuously for 17.36 years? Hint: Use the rate of interest as the rate constant, and the unit of time t is in years. 4. A Zero-order decomposition reaction of a substance took 5 minutes to achieve 80% decomposition. What is its half life? The initial concentration of the substance is SM. Round your answer in to 2 decimal places in minutes. 5. Metals A and B were taken out from a boxed furnaces both at 500 deg C. The ambient temperature, where the metals were exposed is at 25 deg C. It took 1 minute for Metal A to reach 100 deg C. Determine the temperature of Metal B in deg C, 2 minutes after it was take out from the furnace to the new ambient temperature. It is known that ka = 2kg.
Transcribed Image Text:1. A container initially contains 2940 L of water. Sugar solution with 0.05 kg of sugar /L was pumped to the container at 7 L/min. Assume perfect mixing at the container. The resulting solution then goes out of the container at the same rate. Determine the amount of sugar in kg present in the container at: a. 5 minutes after (round to 2 decimal places). b. At the beginning. c. If time approaches infinity. 2. Determine the units of the rate constants of (a) Zero-Order and (b) Second-Order chemical reactions. The order of these reactions are with reference to reactant A only, following the reaction A>B. Use the unit M (mol/L) for A's concentration, and unit seconds for time t. Start your solutions to this problem with proper differential equations. 3. What will happen to Joshua's money if his money will be 6.33% compounded continuously for 17.36 years? Hint: Use the rate of interest as the rate constant, and the unit of time t is in years. 4. A Zero-order decomposition reaction of a substance took 5 minutes to achieve 80% decomposition. What is its half life? The initial concentration of the substance is SM. Round your answer in to 2 decimal places in minutes. 5. Metals A and B were taken out from a boxed furnaces both at 500 deg C. The ambient temperature, where the metals were exposed is at 25 deg C. It took 1 minute for Metal A to reach 100 deg C. Determine the temperature of Metal B in deg C, 2 minutes after it was take out from the furnace to the new ambient temperature. It is known that ka = 2kg.
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