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Practice Homework 4 - Environmental Engineering | CE 321, Assignments of Civil Engineering

Material Type: Assignment; Class: Environmental Engineering; Subject: Civil Engineering; University: Lafayette College; Term: Fall 2008;

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING; LAFAYETTE COLLEGE
Homework Assignment 4, Due Thurs, Sept 25
CE 321, Fall 2008
Note: this is the last HW Assignment before Exam 1
Davis and Masten Problem 2-22
DB1. A solution has 200 mg/L of sodium carbonate (Na2CO3). a) What is its molarity? b) Its
normality? c) What is the concentration in mg/L “as CaCO3”?
DB2. How much O2 (mg/L) is needed to oxidize 109 mg/L of glucose (C6H12O6) to CO2 and
water? (reaction given in your water chemistry review exercise in class)
DB3. Acetic acid has a pKa of 4.75. At a pH of 3, which is predominant, CH3COOH or
CH3COO-? How about at a pH of 6? At a pH of 4.75?
DB4. A water sample has a pH of 8.5, HCO3- concentration of 65 mg/L, and CO3-2
concentration of 15 mg/L. What is the alkalinity in mg/L as CaCO3?
DB5. What is the equilibrium concentration (mg/L) of CO2 in water at 20 °C and 1 atm of
pressure? The concentration of CO2 in the atmosphere is currently 385 ppm (by volume).
DB6. The gas above the liquid in a 10°C can of Coke is pure CO2 at a pressure of 2 atm. What is
the pH of the Coke?
Here are two reactions you’ll need:
322
)(
2COHOHCO aq
+ K=10-2.8
++ 332 HCOHCOH K
A1=10-6.3
Hints: 1) the Coke is acidic; 2) the only ions in the system are H+, OH- and HCO3-, 3) the Coke
must satisfy electroneutrality, i.e. the sum of the cation charges must equal the sum of the anion
charges
DB7. A common carbonate rock in the Lehigh Valley and Bushkill Creek watershed is dolomite
CaMg(CO3)2 The Ca+2 concentration in the lower Bushkill Creek is 50 mg/L (range 20 - 70),
Mg+2 is 25 mg/L (range 10 - 50), the pH is 7.5, and the bicarbonate is 125 mg/L. Is the solution
oversaturated, undersaturated, or saturated with respect to dolomite? Given the ranges of
concentrations, is it likely that the stream switch from undersaturated to oversaturated?
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DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING; LAFAYETTE COLLEGE

Homework Assignment 4, Due Thurs, Sept 25 CE 321, Fall 2008 Note: this is the last HW Assignment before Exam 1

Davis and Masten Problem 2-

DB1. A solution has 200 mg/L of sodium carbonate (Na 2 CO 3 ). a) What is its molarity? b) Its normality? c) What is the concentration in mg/L “as CaCO 3 ”?

DB2. How much O 2 (mg/L) is needed to oxidize 109 mg/L of glucose (C 6 H 12 O 6 ) to CO 2 and water? (reaction given in your water chemistry review exercise in class)

DB3. Acetic acid has a pKa of 4.75. At a pH of 3, which is predominant, CH 3 COOH or CH 3 COO-? How about at a pH of 6? At a pH of 4.75?

DB4. A water sample has a pH of 8.5, HCO 3 -^ concentration of 65 mg/L, and CO 3 - concentration of 15 mg/L. What is the alkalinity in mg/L as CaCO 3?

DB5. What is the equilibrium concentration (mg/L) of CO 2 in water at 20 °C and 1 atm of pressure? The concentration of CO 2 in the atmosphere is currently 385 ppm (by volume).

DB6. The gas above the liquid in a 10°C can of Coke is pure CO 2 at a pressure of 2 atm. What is the pH of the Coke?

Here are two reactions you’ll need:

CO 2 (^) (^) ( aq ) + H 2 OH 2 CO 3 K= -2.

⇔ +^ +^ − H (^) 2 CO 3 H HCO 3 KA1 = -6.

Hints: 1) the Coke is acidic; 2) the only ions in the system are H+, OH -^ and HCO 3 - , 3) the Coke must satisfy electroneutrality, i.e. the sum of the cation charges must equal the sum of the anion charges

DB7. A common carbonate rock in the Lehigh Valley and Bushkill Creek watershed is dolomite CaMg(CO 3 ) 2 The Ca +2^ concentration in the lower Bushkill Creek is 50 mg/L (range 20 - 70), Mg +2^ is 25 mg/L (range 10 - 50), the pH is 7.5, and the bicarbonate is 125 mg/L. Is the solution oversaturated, undersaturated, or saturated with respect to dolomite? Given the ranges of concentrations, is it likely that the stream switch from undersaturated to oversaturated?

DB8. The transport of contaminants in groundwater is slowed by adsorption of the contaminant onto soil particles. The retardation factor (RF) is defined as the ratio of the groundwater velocity to the contaminant velocity.

s d c

gw (^) K v n

v RF (^) ⎟ ⎠

= = 1 + ρ ⎛^1 − 1

where v gw is the groundwater velocity, v c is the contaminant velocity, ρ s is the soil particle

density, n is the soil porosity, and Kd is the soil/water distribution coefficient.

The groundwater velocity is 0.6 cm/day, the aquifer soil has porosity 0.33 and particle density 2.65 g/cm^3. Determine the retardation factors for the following compounds, and determine the distance these three compounds will travel through the aquifer in 50 years:

DDT (Kd = 2430 mL/g) (formerly widespread pesticide) Napthalene (K (^) d = 13 mL/g) (chemical used in mothballs) TCE (Kd = 1.26 mL/g) (a common solvent passed around in class one day)