4.(12 pts) A 20,000 liter tank is initially half full with 10,000 liters of 2% nitric...

4.(12 pts) A 20,000 liter tank is initially half full with 10,000 liters of 2% nitric acid. A solution of 5% nitric acid is pumped in at a rate of 30 liters per minute and the well mixed mixture is pumped out at the same rate of 30 liters per minute.

(a)(8 pts) Set up (But Don’t Solve) an IVP whose solution gives the amount of x(t) of pure nitric acid (in liters) in the tank at time t

(b)(4 pts) Use a quick qualitative analysis of the IVP you found in part (a) to predict how much pure nitric acid will be in the tank as t→infinity(Show a phase line or direction field to predict what happens as t→infinity

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

A 500-liter tank initially contains 200 liters of a liquid in which 150 g of salt...

A 500-liter tank initially contains 200 liters of a liquid in which 150 g of salt have been dissolved. Brine that has 5 g of salt per liter enters the tank at a rate of 15 L / min; the well mixed solution leaves the tank at a rate of 10 L / min. -Find the amount A (t) grams of salt in the tank at time t. -Determine the amount of salt in the tank when it is full.

Mixing of citric acid takes place in a 12-liter capacity tank. The tank has initially (t...

Mixing of citric acid takes place in a 12-liter capacity tank. The tank has initially (t = 0), 4 Liters of fresh water (no citric acid). Citric acid solution stream at 0.1 kg/L concentration enters the tank at a rate = 0.1 L/min. The citric acid solution leaves out from a nozzle in the tank at a rate = (t+1) L/min. Assume the tank is well-mixed and no reaction takes place. 1. Sketch and label the tank and show if...

1) If one liter of nitric acid solution (pH = 1.000) is mixed with nine liters...

1) If one liter of nitric acid solution (pH = 1.000) is mixed with nine liters of barium hydroxide solution (pH = 11.000), what will be the pH of the resulting solution? 2) The pH of a 0.10M solution of barium acetate is:_______

A tank initially contains 10 liters of clean water (with no salt in it). Every minute,...

A tank initially contains 10 liters of clean water (with no salt in it). Every minute, a solution containing one liter of water and one gram of salt is added to the tank, and two liters of fluid are drained from the tank. The fluid in the tank is mixed continuously so that the salt is distributed evenly throughout the water in the tank. How many minutes does it take for the tank to contain 2 grams of salt?

4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...

4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 + 10? − 3 answer the following: a. [2 pts] Determine whether the function represents a polynomial. Justify your answer. b. [4 pts] Determine whether the function satisfies the Intermediate Value Theorem on the interval [0, 5]. Justify your answer. c. [2 pts] Determine the number (quantity) of complex zeros that the function has, provided the each zero is counted by its multiplicity. d. [4...

1. A tank initially contains 200 liters of saltwater, with a concentration of 2g/L salt. Saltwater...

1. A tank initially contains 200 liters of saltwater, with a concentration of 2g/L salt. Saltwater with a concentration of 5g/L flows into the tank at 2L/min and the well-mixed solution flows out of the tank at the rate of 4L/min. (a) Set up, but do NOT solve, the initial value problem whose solution will be the VOLUME OF LIQUID in the tank as a function of time (b) Solve the IVP from the previous part and find the volume...

If 4 moles of oxygen and 2 moles of nitrogen gas occupy 12 liters at a...

If 4 moles of oxygen and 2 moles of nitrogen gas occupy 12 liters at a total pressure of 6 Atm, the partial pressure of oxygen gas in the container is?

A farmer has a mixing tank of capacity 1200 liters which she half-filled with pure, fresh...

A farmer has a mixing tank of capacity 1200 liters which she half-filled with pure, fresh water. She pumps into the tank a concentrated liquid fertilizer (CLF) at rate 3 liters/minute, containing 1/3 ∼ 0.333 kg/liter of nitrate (a salt of nitric acid). In addition, she pours the dry powder fertilizer (DPF, the same chemical as a soluble powder) at rate 1/12 = 0.08333 kg/min in the tank; her aim is to get a right solution concentration 0.12kg/liter for the...

A Tank can hold 200 liters, it currently holds 150 liters of fresh water. 2 different...

A Tank can hold 200 liters, it currently holds 150 liters of fresh water. 2 different pipes pour in mixture, one at a rate of 1kg of salt per minute at a rate of 6 liters per minute. another at a rate of 2 kg of salt at a rate of 4 liters per minute. A. If the mixture is flowed out at a rate of 10 liters per minute what is the amount of salt at time t. what...

4. [30 pts] 20 liters of water at 20 bar and 100 °C are in a...

4. [30 pts] 20 liters of water at 20 bar and 100 °C are in a variable volume container. 56,000 kJ of heat are added to the system at constant pressure which causes an increase in both temperature and volume. a. [4 pts] Draw a schematic of the process b. [4 pts] Write the energy balance for this process and clearly state any assumptions: c. [12 pts] What is the final volume of the container? d. [8 pts] How much...

Subjects