Category: Arithmetic
"Published in Vacaville, California, USA"
You collect baseball cards. Suppose you start out with 16. Since you're
nice, you give John 3 baseball cards. How many baseball cards do you
have at the end?
Solution:
The given word problem is about the application of four basic operations. At the start, you have 16 balls.
If you give 3 baseball cards to John, then you will have 16 - 3 = 13 baseball cards left at the end.
This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Wednesday, June 24, 2015
Tuesday, June 23, 2015
Arithmetic Word Problems
Category: Arithmetic
"Published in Vacaville, California, USA"
Solution:
The given word problem is about the application of four basic operations. At the start, you have 16 balls.
If Mike gives you another ball, you will have 16 + 17 = 33 balls at the end.
"Published in Vacaville, California, USA"
| You collect balls. Suppose you start out with 16. Mike gives you another 17 balls. How many balls do you have at the end? |
Solution:
The given word problem is about the application of four basic operations. At the start, you have 16 balls.
If Mike gives you another ball, you will have 16 + 17 = 33 balls at the end.
Monday, June 22, 2015
Chemical Equilibrium of Gases, 2
Category: Chemical Engineering Math
"Published in Newark, California, USA"
At 3000K and 1 atm, CO2 is 40% dissociated to CO and O2. Calculate its percentage dissociation when the pressure is increased to 2 atm.
Solution:
Consider the chemical reaction above as follows
For gases, the equilibrium constant of the above reaction is
At the start of the reaction, the total pressure of CO2 which is the total pressure of gas mixture is equal to1 atm. At equilibrium, the partial pressure of gases are as follows:
Hence, the equilibrium constant for the reaction above is
For 1 atm, if x is the partial pressure of CO2 dissociated, then the partial pressure of gases are as follows:
If the pressure is increased to 2 atm, then the partial pressure of gases will be multiplied by 2. Substitute the value of partial pressure of gases at the chemical equilibrium equation above, we have
Since the above equation cannot be factored by factoring and even synthetic division, then we have to do the trial and error method until we get zero at the right side of the equation. The best way is to use Excel program in solving for the value of x because we can input the formula and we can assign any values of x in the spreadsheet as follows
From the Excel spreadsheet, the value of x which is the partial pressure of CO2 dissociated is 0.33648572 atm since the right side of the equation is very close to zero.
Therefore, the percent of dissociation of CO2 is
"Published in Newark, California, USA"
At 3000K and 1 atm, CO2 is 40% dissociated to CO and O2. Calculate its percentage dissociation when the pressure is increased to 2 atm.
Solution:
Consider the chemical reaction above as follows
For gases, the equilibrium constant of the above reaction is
At the start of the reaction, the total pressure of CO2 which is the total pressure of gas mixture is equal to1 atm. At equilibrium, the partial pressure of gases are as follows:
Hence, the equilibrium constant for the reaction above is
If the pressure is increased to 2 atm, then the partial pressure of gases will be multiplied by 2. Substitute the value of partial pressure of gases at the chemical equilibrium equation above, we have
Since the above equation cannot be factored by factoring and even synthetic division, then we have to do the trial and error method until we get zero at the right side of the equation. The best way is to use Excel program in solving for the value of x because we can input the formula and we can assign any values of x in the spreadsheet as follows
 |
| Photo by Math Principles in Everyday Life |
From the Excel spreadsheet, the value of x which is the partial pressure of CO2 dissociated is 0.33648572 atm since the right side of the equation is very close to zero.
Therefore, the percent of dissociation of CO2 is
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