4-23. Determine the lime and soda ash dose, in mg/L as CaCO3, to soften the following water to a final hardness of less than 90.0 mg/L as CaCO3. If the price of lime, pur- chased as CaO, is $61.70 per megagram (Mg), and the price of soda ash, purchase as Na2CO3, is $172.50 per Mg. What is the annual chemical cost of treating 0.050 m3/s of this water? Assume the lime is 90% pure and the soda ash is 97% pure. Th- ion concentrations reported below are all mg/L as CACO3. Ca2+ 137.0 60.0 %3D Mg2+ HCO, = 197.0 CO, %3D = 9.0 0.00 %3D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Determining Lime and Soda Ash Doses for Water Softening

#### Problem Statement:
Determine the lime and soda ash dose, in mg/L as CaCO₃, to soften the following water to a final hardness of less than 90.0 mg/L as CaCO₃. The cost details are as follows:

- **Lime Cost:** $61.70 per megagram (Mg), with 90% purity.
- **Soda Ash Cost:** $172.50 per Mg, with 97% purity.

Calculate the annual chemical cost of treating 0.050 m³/s of this water.

#### Ion Concentrations (mg/L as CaCO₃):

- **Ca²⁺:** 137.0 mg/L
- **Mg²⁺:** 60.0 mg/L
- **HCO₃⁻:** 197.0 mg/L
- **CO₂:** 90.0 mg/L

#### Steps Involved:
1. Calculate the amount of lime and soda ash required to achieve the desired water hardness.
2. Adjust for chemical purity.
3. Compute the cost based on the treated water volume per second over a year.

### Notes:

- Ensure conversions account for continuous treatment over time.
- Consider efficiency adjustments based on purity percentages for both lime and soda ash.
Transcribed Image Text:### Determining Lime and Soda Ash Doses for Water Softening #### Problem Statement: Determine the lime and soda ash dose, in mg/L as CaCO₃, to soften the following water to a final hardness of less than 90.0 mg/L as CaCO₃. The cost details are as follows: - **Lime Cost:** $61.70 per megagram (Mg), with 90% purity. - **Soda Ash Cost:** $172.50 per Mg, with 97% purity. Calculate the annual chemical cost of treating 0.050 m³/s of this water. #### Ion Concentrations (mg/L as CaCO₃): - **Ca²⁺:** 137.0 mg/L - **Mg²⁺:** 60.0 mg/L - **HCO₃⁻:** 197.0 mg/L - **CO₂:** 90.0 mg/L #### Steps Involved: 1. Calculate the amount of lime and soda ash required to achieve the desired water hardness. 2. Adjust for chemical purity. 3. Compute the cost based on the treated water volume per second over a year. ### Notes: - Ensure conversions account for continuous treatment over time. - Consider efficiency adjustments based on purity percentages for both lime and soda ash.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Fluid materials
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning