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SQUARE ROOT SIMPLIFY EQUATIONS CALCULATOR
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Thank you for visiting our site! You landed on this page because you entered a search term similar to this: square root simplify equations calculator.
We have an extensive database of resources on square root simplify equations calculator. Below is one of them. If you need further help, please take a look at our software "Algebrator", a software program that can solve any algebra problem you enter!
|
HA(aq)
|
H3O+(aq)
|
A-(aq)
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| Initial Conc. (M) |
0.500
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0
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0
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| Change in Conc. (M) |
- x
|
+ x
|
+ x
|
| Equilibirum Conc. (M) |
0.500 - x
|
x
|
x
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Substitute into the equilibrium expression. Assume that 0.500 - x
~ 0.500. Simplify equation and solve for the change.

Check answer to see if it is within limits set by your instructor. (Here we use 5%.)
(0015/0.500) x 100 = 0.03%
The change is only 0.03% of the initial value and is negligible.
Determine the equilibrium concentrations of each species
[H3O+] = [A-] = x = 1.5 x 10-4 M[HA] = 0.500 - 1.5 x 10-4 = 0.500 M
Check work.
Top
K and
Q Lie on Opposite Sides of One (K>>Q or K<<Q)
When K is much larger than Q, or K is much smaller than Q, the change
in amount of each species will be very large as the system moves towards
a state of equilibirum. When this occurs, finding the change in concentration
can often be facilitated by doing the following:
-
When K>>Q and K > 1, assume 100% conversion into products, followed by the
back reaction to establish equilibrium. When K<<Q and K <
1, assume 100% conversion into reactants, followed by the forward reaction
to establish equilibrium.
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Make an ICE chart to determine change and equilibrium quantities starting with those resulting from the 100% conversion.
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Substitute quantities into the equilibrium expression.
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Assume the change is near zero such that "[A] - x" is equal to "[A]."
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Solve for the variable.
-
Check to see if the change is less than 5% of the maximum amount, or within
the limits set by your instructor. If not, use the method of
approximations, a programmable calculator, or other method to solve.
-
Solve for the equilibrium concentrations if asked to do so.
-
Check your work.
Example: An evacuated flask is filled with sufficient H 2
and I 2 gases so that the concentration of each gas is 0.620
M. It is then heated to 298 K. What is the concentration of each species
when equilbrium is established?
H2(g) + I2(g)
2 HI(g) Kc = 794 @ 298 K
-
Initially the [HI] = 0, so K >>Q and K is > 1. The change in the
concentration of each species will be large so we calculate the quantity
of product formed assuming 100% conversion.
100% conversion will result
in the formation of 1.24 M HI (1 to 1 to 2 proporation) with neither reactant
remaining.
-
Make an ICE chart starting with the concentrations after the 100% conversion.
|
H2
|
I2
|
HI
|
| Initial Concentration (M) |
0
|
0
|
1.24
|
| Change in Concentration (M) |
+ x
|
+ x
|
- 2 x
|
| Equilibrium Concentration (M) |
0 + x
|
0 + x
|
1.24 - 2 x
|
|
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Goods and services provided by Sofmath (TX, USA).
Sold by 2CheckOut.com Inc. (Ohio, USA).
|
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You
Will Learn Algebra Better - Guaranteed!
Just
take a look how incredibly simple Algebrator is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 : Let
Algebrator solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebrator can solve problems in all the following areas:
- simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)
- factoring and expanding expressions
- finding LCM and GCF
- operations with complex numbers
(simplifying, rationalizing complex denominators...)
- solving linear, quadratic and many other equations
and inequalities
(including basic logarithmic and exponential equations)
- solving a system of two and three linear equations
(including Cramer's rule)
- graphing curves (lines, parabolas, hyperbolas, circles,
ellipses, equation and inequality solutions)
- graphing general functions
- operations with functions (composition,
inverse, range, domain...)
- simplifying logarithms
- operations with matrices (adding,
subtracting, multiplying, inverse...)
- basic geometry and trigonometry
(similarity, calculating trig functions, right triangle...)
- arithmetic and other pre-algebra topics
(ratios, proportions, measurements...)
Goods and services provided by Sofmath (TX, USA).
Sold by 2CheckOut.com Inc. (Ohio, USA).
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