SAT Chemistry Chemical Equilibrium - Reversible Reactions and Equilibrium

SAT Chemistry Chemical Equilibrium - Reversible Reactions and Equilibrium

The reaction is said to have reached equilibrium when the forward reaction rate is equal to the reverse reaction rate. Notice that this is a dynamic condition, NOT a static one, although in appearance the reaction seems to have stopped. An example of an equilibrium is a crystal of copper sulfate in a saturated solution of copper sulfate. Although to the observer the crystal seems to remain unchanged, there is actually an equal exchange of crystal material with the copper sulfate in solution. As some solute comes out of solution, an equal amount is going into solution.
To express the rate of reaction in numerical terms, we can use the Law of Mass Action, discussed in Chapter 9, which states: The rate of a chemical reaction is proportional to the product of the concentrations of the reacting substances. The concentrations are expressed in moles of gas per liter of volume or moles of solute per liter of solution. Suppose, for example, that 1 mole/liter of gas A2 (diatomic molecule) is allowed to react with 1 mole/liter of another diatomic gas, B2, and they form gas AB; let R be the rate for the forward reaction
forming AB. The bracketed symbols [A2] and [B2] represent the concentrations in moles per liter for these diatomic molecules. Then A2 + B2 -> 2AB has the rate expression
R ∝ [A2] x [B2]

where ∝ is the symbol for “proportional to.” When [A2] and [B2] are both 1 mole/liter, the reaction rate is a certain constant value (k1)at a fixed temperature.
R = k1 (k1 is called the rate constant)
For any concentrations of A and B, the reaction rate is
R = k1 x [A2] x [B2]
If [A2] is 3 moles/liter and [B2] is 2 moles/liter, the equation becomes
R = k1 x 3 x 2 = 6k1

The reaction rate is six times the value for a 1 mole/liter Concentration of each reactant.
At the fixed temperature of the forward reaction, AB molecules are also decomposing. If we designate this reverse reaction as R', then, since
2AB (or AB + AB) -> A2 + B2
two molecules of AB must decompose to form one molecule of A2 and one of B2. Thus the reverse reaction in this equation is proportional to the square of the molecular concentration of AB:
R' ∝ [AB] x [AB]
or R' ∝ [AB]2
and R' ∝ k2 x [AB]2
where k2 represents the rate of decomposition of AB at the fixed temperature. Both reactions can be shown in this manner:
A2 + B2 ⇌ 2AB (note double arrow)

When the first reaction begins to produce AB, some AB is available for the reverse reaction. If the initial condition is only the presence of A2 and B2 gases, then the forward reaction will occur rapidly to produce AB. As the concentration of AB increases, the reverse reaction will increase. At the same time, the concentrations of A2 and B2 will be decreasing and consequently the forward reaction rate will decrease. Eventually the two rates will be equal, that is, R = R'. At this point, equilibrium has been established, and
k1[A2] x [B2] = k2[AB]2
sat-chemistry-chemical-equilibrium-reversible-reactions-and-equilibrium-(226-1)
The convention is that k1 (forward reaction) is placed over k2 (reverse reaction) to get this expression. Then k1/k2 can be replaced by Keq, which is called the equilibrium constant for this reaction under the particular conditions.
In another general example:
aA + bB ⇌ cC + dD
the reaction rates can be expressed as
R = k1[A]a x [B]b
R' = k2[C]c x [D]d

Note that the values of k1 and k2 are different, but that each is a constant for the conditions of the reaction. At the start of the reaction, [A] and [B] will be at their greatest values, and R will be large; [C], [D], and R" will be zero. Gradually R will decrease and R' will become equal. At this point the reverse reaction is forming the original reactants just as rapidly as they are being used up by the forward reaction. Therefore, no further change in R, R', or any of the concentrations will occur.

If we set R' equal to R, we have:
k2 x [C]c x [D]d = k1 x [A]a x [B]b
sat-chemistry-chemical-equilibrium-reversible-reactions-and-equilibrium-(227-1)
This process of two substances, A and B, reacting to form products C and D and the reverse can be shown graphically to represent what happens as equilibrium is established. The hypothetical equilibrium reaction is described by the following general equation:
aA + bB ⇌ cC + dD

At the beginning (time t0), the concentrations of C and D are zero and those of A and B are maximum. The graph below shows that over time the rate of the forward reaction decreases as A and B are used up. Meanwhile, the rate of the reverse reaction increases as C and D are formed. When these two reaction rates become equal (at time tj, equilibrium is established. The individual concentrations of A, B, C, and D no longer change if conditions remain the same. To an observer, it appears that all reaction has stopped; in fact, however, both reactions are occurring at the same rate.
sat-chemistry-chemical-equilibrium-reversible-reactions-and-equilibrium-(228-1)
We see that, for the given reaction and the given conditions, Keq is a constant, called the equilibrium constant. If Keq is large, this means that equilibrium does not occur until the concentrations of the original reactants are small and those of the products large. A small value of Keq means that equilibrium occurs almost at once and relatively little product is produced.
The equilibrium constant, Keq, has been determined experimentally for many reactions, and the values are given in chemical handbooks.

Suppose we find Keq for reacting H2 and I2 at 490°C to be equal to 45.9. Then the equilibrium constant for this reaction
H2(g) + I2(g) ⇌ 2HI(g) at 490°C

Sample Problem ________________________________________

Three moles of H2(g) and 3.00 moles of I2(g) are introduced into a 1-liter box at a temperature of 490°C. Find the concentration of each substance in the box when equilibrium is established.
Initial conditions:
[H2] = 3.00 mol/L
[I2] = 3.00 mol/L
[HI] = 0 mol/L
The reaction proceeds to equilibrium and
sat-chemistry-chemical-equilibrium-reversible-reactions-and-equilibrium-(228-2)
At equilibrium, then,
[H2] = (3.00 - x) mol/L                   (where x is the number of moles of H2 that are in the form of HI at equilibrium)
[I2] = (3.00 - x) mol/L                     (the same x is used since 1 mol of H2 requires 1 mol of I2 to react to form 2 mol of HI)
[HI] = 2x mol/L Then
sat-chemistry-chemical-equilibrium-reversible-reactions-and-equilibrium-(229-1)
Note: On the SAT Subject Test in Chemistry, calculators are not permitted. So answers to questions like this would be easily calculated “perfect squares."

Substituting this x value into the concentration expressions at equilibrium we have
[H2] = (3.00 - x) = 0.68 mol/L
[I2] = (3.00 - x) = 0.68 mol/L
[HI] = 2x = 4.64 mol/L
The crucial step in this type of problem is setting up your concentration expressions from your knowledge of the equation. Suppose that this problem had been:

Second Sample Problem _______________________________

Find the concentrations at equilibrium for the same conditions as in the preceding example except that only 2.00 moles of HI are injected into the box.
[H2] = 0 mol/L
[I2] = 0 mol/L
[HI] = 2.00 mol/L
At equilibrium
[HI] = (2.00 - x) mol/L
(For every mole of HI that decomposes, only 0.5 mole of H2 and 0.5 mole of I2 are formed.)
sat-chemistry-chemical-equilibrium-reversible-reactions-and-equilibrium-(230-1)







LE CHATELIER’S PRINCIPLE
A genera] law, Le Chatelier’s Principle, can be used to explain the results of applying any change of condition (stress) on a system in equilibrium. It states that if a stress is placed upon a system in equilibrium, the equilibrium is displaced in the direction that counteracts the effect of the stress. An increase in concentration of a substance favors the reaction that uses up that substance and lowers its concentration. A rise in temperature favors the reaction that absorbs heat and so tends to lower the temperature. These ideas are further developed below.


Location: Texas, USA

Comments

  1. thelocalguystestandtag1213 September 2021 at 10:45

    After a long time, I read a very beautiful and very important article that I enjoyed reading. I have found that this article has many important points. Thanks .test and tag services perth

    ReplyDelete

Post a Comment

Popular posts from this blog

SAT Chemistry The Laboratory - Laboratory Safety Rules

Image
SAT Chemistry The Laboratory -   Laboratory Safety Rules The Ten Commandments of Lab Safety The following is a summary of rules you should be well aware of in your own chemistry lab. Dress appropriately for the lab. Wear safety goggles and a lab apron or coat. Tie back long hair. Do not wear open-toed shoes. Know what safety equipment is available and howto use it. This includes the eyewash fountain, fire blanket, fire extinguisher, and emergency shower. Know the dangers of the chemicals in use, and read labels carefully. Do not taste or sniff chemicals. Dispose of chemicals according to instructions. Use designated disposal sites, and follow the rules. Never return unneeded chemicals to the original containers. Always add acids and bases to water slowly to avoid splattering. This is especially important when using strong acids and bases that can generate significant heat, form steam, and splash out of the container. Never point heating test tubes at yourself or others...
Read more

SAT Physics Historical Figures and Contemporary Physics - Historical Figures

Image
SAT Physics Historical Figures and Contemporary Physics - Historical Figures HISTORICAL FIGURES Newtonian Mechanics GALILEO GALILEI (1564-1642) Bodies dropped from the same height will all fall with the same acceleration, g. The distance they travel is proportional to the square of time, y = Principle of inertia: The natural state of motion is uniform constant velocity. ISAAC NEWTON (1642-1727) 1st law of motion (law of inertia): Modifies Galileo’s principle of inertia. The natural state of motion is constant velocity unless acted upon by an unbalanced force. 2nd law of motion (ΣF = ma): The acceleration of an object is directly proportional to the net force acting on the object. Acceleration is inversely proportional to the mass of the object. 3rd law of motion: When two objects interact (action-reaction pair), an equal and oppo­site force acts on each object. This causes an opposite reaction. However, the actual motion depends on the masses involved. Law of gravity...
Read more

SAT Physics Nuclear Reactions - Radioactive Decay

Image
SAT Physics Nuclear Reactions - Radioactive Decay RADIOACTIVE DECAY Radioactive decay occurs when an unstable isotope spontaneously loses energy by emitting particles from its nucleus. The decay processes were named in their order of discovery by using the first three letters of the Greek alphabet: alpha (α), beta (β), and gamma (γ). After their initial discovery, it was determined that an alpha particle was in fact the nucleus of a helium atom , a beta particle was actually an electron, , and gamma radiation was not a particle at all. Instead, it is a high-frequency photon, . Elements that naturally decay are said to be radioactive. Radioactive substances have a critical imbalance between the number of protons and neutrons in the nucleus. As atoms become larger, more neutrons are needed to maintain stability. Uranium-235 has 92 protons and 143 neutrons. The three common forms of natural radioactivity—alpha, beta, and gamma radiation—are discussed below. Alpha Decay In an alpha ...
Read more