Conservation of Mass Problem

Slides:



Advertisements
Similar presentations
temperature system wiring
Advertisements

Conductivity sensor implementation living with the lab © 2011 LWTL faculty team.
Assembly of conductivity flow loop living with the lab (in preparation for calibrating conductivity sensor)
Using fixed-cell references and built-in functions in Excel living with the lab © 2012 David Hall.
220  470  Gnd5V Currents Through Parallel Resistors 1 living with the lab © 2012 David Hall.
Introduction to Microsoft Excel living with the lab © 2012 David Hall.
Kirchoff’s Current Law (KCL) living with the lab University of Pennsylvania Library and Wikipedia Gustav Kirchoff (left) and Robert Bunsen (right) Bunsen.
Adding a Barrel Jack to a Battery Pack living with the lab © 2012 David Hall.
Using for loops to control LEDs living with the lab 1 1 arduino.cc the for statement allows us to repeat a block of commands a limited number of times.
Building Circuits.
Measuring & Drawing a Barbed Fitting
Pump Fabrication Day Group A will draw their pump
What you Need to Know to Succeed
Controlling Servos with the Arduino
Connecting Switches.
Series and Parallel Resistors
Pump Project Requirements
Pump Efficiency Fluid Energy Out + - Electrical Energy In.
Introduction to the Arduino
Why Won’t My Arduino Work?
Robot Challenge Introduction
Troubleshooting Your Multimeter
Introduction to Electricity
Pump Project Overview.
Robot Assembly.
How to Use Dial Calipers
Controlling a Motor with Cascading Switches
Introduction to the Fishtank
Conservation of Mass
Conservation of Energy
RGB LEDs.
Conservation of Mass Problem
Freshman Design Expo.
Linkages and Mechanisms
Conductivity Sensor.
Troubleshooting Your Multimeter
Introduction to Statics
a few of my favorite sensors
Relays.
using for loops to control LEDs
using the Arduino to make LEDs flash
Acquiring Data from an ADXL335 Accelerometer
Using Photoresistors with an Arduino
What you Need to Know to Succeed
Torque and RPM of Gears
Conservation of Mass Problem
Data Types.
Finishing your Project
Using “if” statements.
Controlling the Heater
Conservation of Mass
Design Project Forecast
Digital Input from Switches
Measuring & Drawing a Barbed Fitting
Cash Flow Diagrams <in> <out> $200 $300 $150 $100
Arduino: For Loops.
Non-Concurrent Force Systems
IR Object Detection IR detector IR LED IR light reflected off object
Radio Frequency Transmitter and Receiver
Interfacing a Rotary Encoder with an Arduino
Brainstorming.
Graphing in Mathcad.
Equilibrium of Non-Concurrent Force Systems
Non-Concurrent Force Systems
Evaluating Design Alternatives
Counting Servo Gear Teeth (FS90R Servos)
Static Equilibrium Problem
Reservoir Loop.
Freshman Design Expo Presentations
Gearmotor Efficiency W table top gearmotor pulley string.
Presentation transcript:

Conservation of Mass Problem

DISCLAIMER & USAGE The content of this presentation is for informational purposes only and is intended for students attending Louisiana Tech University only. The authors of this information do not make any claims as to the validity or accuracy of the information or methods presented. Any procedures demonstrated here are potentially dangerous and could result in damage and injury. Louisiana Tech University, its officers, employees, agents and volunteers, are not liable or responsible for any injuries, illness, damage or losses which may result from your using the materials or ideas, or from your performing the experiments or procedures depicted in this presentation. The Living with the Lab logos should remain attached to each slide, and the work should be attributed to Louisiana Tech University. If you do not agree, then please do not view this content. boosting application-focused learning through student ownership of learning platforms

Mass balance equation: Class Problem: A large fishtank system (similar to yours, but much bigger) is used to store 773kg of water that is 0.15% wt NaCl. We wish to increase the salinity to 0.25% by adding salt water from a “salty tank” with a 5% wt NaCl solution. When water from the “salty tank” is added, an equal volume of water must leave the chamber through the overflow. Assume that the same mass of water that enters from the “salty tank” leaves through the overflow. If 20% of the water leaving through the overflow comes directly from the “salty tank” and the remainder that leaves is 0.15% wt NaCl, then what is the mass of “salty tank” water that should be added? Mass balance equation: Initial: 773𝑘𝑔 0.15% NaCl 99.85% water X 5% NaCl 95% Water 20% 𝑋 5% NaCl 95% water 𝑚 𝑖𝑛 − 𝑚 𝑜𝑢𝑡 + 𝑚 𝑔𝑒𝑛𝑒𝑟𝑎𝑡𝑒𝑑 − 𝑚 𝑐𝑜𝑛𝑠𝑢𝑚𝑒𝑑 = 𝑚 𝑓𝑖𝑛𝑎𝑙 − 𝑚 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 80% 𝑋 0.15% NaCl 99.85% water Final: 773𝑘𝑔 0.25% NaCl 99.75% water 𝑚 𝑖𝑛 − 𝑚 𝑜𝑢𝑡 = 𝑚 𝑓𝑖𝑛𝑎𝑙 − 𝑚 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 For simplicity, you could bring the “in” and “initial” to one side of the equal sign and “out” and “final” to the other side. This allows for all terms to remain positive. 𝑚 𝑖𝑛 + 𝑚 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 = 𝑚 𝑓𝑖𝑛𝑎𝑙 + 𝑚 𝑜𝑢𝑡 Overall equation: Salt equation: 𝑚 𝑖𝑛 + 𝑚 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 = 𝑚 𝑓𝑖𝑛𝑎𝑙 + 𝑚 𝑜𝑢𝑡 𝑚 𝑖𝑛 + 𝑚 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 = 𝑚 𝑓𝑖𝑛𝑎𝑙 + 𝑚 𝑜𝑢𝑡 𝑋+773𝑘𝑔=773𝑘𝑔+0.2X+0.8X 0.05𝑋+0.0015(773𝑘𝑔)=0.0025(773𝑘𝑔)+0.05(0.2X)+0.0015(0.8X) 𝑋+773𝑘𝑔=773𝑘𝑔+X 0.05𝑋+1.1595𝑘𝑔=1.9325𝑘𝑔+0.01X+0.0012X 0.0388𝑋=0.773 𝑋=19.923𝑘𝑔