A solution of hydrochloric acid accidentally leaks into a spring fed freshwater lake, which in turn...

A solution of hydrochloric acid accidentally leaks into a spring fed freshwater lake, which in turn feeds a single stream. the acid leaks into the lake at a rate of 2 gallons per hour and has a concentration if 3 pounds per gallon. The lake initially contains 4000 gallons of water. Water flows into the lake from the spring at a rate of 100 gallons per hour and fluid flows out of the lake into the stream at a rate of 100 gallons per hour.
a) Set up the initial value problem that models the dynamics if acid in the lake.
b) Solve the initial value problem from part a.
c) compute the amount of acid in the lake after 1 hour

Solutions

Expert Solution

Given that

the lake at a rate of 2 gallons per hour and has a concentration if 3 pounds per gallon

The lake initially contains 4000 gallons of water

Water flows into the lake from the spring at a rate of 100 gallons per hour

fluid flows out of the lake into the stream at a rate of 100 gallons per hour.

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

2. In manufacture of chlorine, feed containing hydrochloric acid gas and air are fed to the...

2. In manufacture of chlorine, feed containing hydrochloric acid gas and air are fed to the reactor. The product gases leaving the reactor are found to contain 13.2% HCl, 6.3% 02, 42.9% N2, 30% Cl2 and 7.6% H2O (by weight). Calculate: i) The percent excess air used. ii) The composition of gases entering reactor iii) The degree of completion of oxidation (conversion) (Hint: Start solving by change the mass flow rate to mol flow rate first.)

A lab student has made a hydrochloric acid solution which they need to standardize using sodium...

A lab student has made a hydrochloric acid solution which they need to standardize using sodium carbonate (Na2CO3). The concentration of the hydrochloric acid solution is believed to be 0.117 M. The lab student would like the titration to take a volume of 30 mL. What mass of sodium carbonate should the student weigh out for this titration

When magnesium metal and an aqueous solution of hydrochloric acid combine, they produce an aqueous solution...

When magnesium metal and an aqueous solution of hydrochloric acid combine, they produce an aqueous solution of magnesium chloride and hydrogen gas. Using the equation, Mg (s) + 2HCl (aq) → MgCl2 (aq) + H2 (g), if 24.3 g of Mg and 75.0 g of HCl are allowed to react, calculate the mass of MgCl2 that is produced

The mass percentage of hydrochloric acid within a solution is 40.00%. Given that the density of...

The mass percentage of hydrochloric acid within a solution is 40.00%. Given that the density of this solution is 1.200 g/mL, find the molarity of the solution.

A) An aqueous solution is 3.50% by mass hydrochloric acid, HCl, and has a density of...

A) An aqueous solution is 3.50% by mass hydrochloric acid, HCl, and has a density of 1.02 g/mL. The molality of hydrochloric acid in the solution is ____ m. B) An aqueous solution of iron(III) sulfate has a concentration of 0.192 molal. The percent by mass of iron(III) sulfate in the solution is ____ %.

1, Which of the following is NOT a role of Hydrochloric acid in the stomach? There...

1, Which of the following is NOT a role of Hydrochloric acid in the stomach? There may be more than one correct answer - select all that apply. Group of answer choices activate salivary amylase unraveling/ "denaturing" proteins hydrolysis of proteins digestion of polysaccharides activate pepsin 2, The standard used to estimate the average daily amount of a nutrient considered adequate to meet the 97% of the needs of most healthy people is the Group of answer choices DRI. UL....

what is the ph of a 0.1M hydrochloric acid solution? A 1.0×10^-3M HCl solution? A 1.0...

what is the ph of a 0.1M hydrochloric acid solution? A 1.0×10^-3M HCl solution? A 1.0 × 10^-8 M HCl solution?

Concentrated hydrochloric acid solution is 37.0% HCL and has a density of 1.19g/ml. A dilute solution...

Concentrated hydrochloric acid solution is 37.0% HCL and has a density of 1.19g/ml. A dilute solution of HCL is prepared by diluting 4.50mL of this acid to 100.00mL with water. Then 10.0mL of the dilute HCL is used for the reaction with AgNO3 solution as shown below: HCL(aq)+AgNO3(aq) to HNO3(aq)+AgCL(s) How many mL of 0.1105M AgNO3 solution is required to precipitate all of the chloride as AgCl(s)? Please show how you get the answer. Thank you!

Calculate the molarity of a solution made by adding 25.4 mL of concentrated hydrochloric acid (37.3...

Calculate the molarity of a solution made by adding 25.4 mL of concentrated hydrochloric acid (37.3 % by mass, density 1.19 g/mL) to some water in a volumetric flask, then adding water to the mark to make exactly 500 mL of solution. (It is important to add concentrated acid or base to water, rather than the other way, to minimize splashing and maximize safety.)

96.0 mL of a NaOH solution of unknown concentration is titrated with 4.00 M hydrochloric acid,...

96.0 mL of a NaOH solution of unknown concentration is titrated with 4.00 M hydrochloric acid, HCl. The end point is reached when 150.0 mL of acid are added to the base. What is the concentration of the original NaOH solution? a. 1.56 mol/L b. 3.13 mol/L c. 6.26 mol/L d. 12.5 mol/L

Subjects