concentration ratio
(noun)
The proportion of total industry output produced by the largest firms (usually the four largest).
Examples of concentration ratio in the following topics:
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Market Power
- Measurement of market power is often accomplished with concentration ratios or the Herfindahl-Hirschman Index (HHI).
- The concentration ratio is the proportion of total industry output produced by the largest firms (usually the four largest).
- For monopolies, the four firm concentration ratio is 100 percent, while the ratio is zero for perfect competition.
- The use of the concentration ratio or the HHI to measure market power is not perfect.
- A high concentration ratio or large firm size is not the only way to achieve market power.
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Relative Amounts of Acid and Base
- The pH of a buffer depends on the ratio [base]/[acid] rather than on the particular concentration of a specific solution.
- The pH of a buffer depends on the ratio [base]/[acid] rather than on the particular concentration of a specific solution.
- Therefore, you need only to adjust the ratio of [C2H3O2-]/[HC2H3O2] to get the desired final hydrogen ion concentration.
- To satisfy the expression, the ratio of [C2H3O2-]/[HC2H3O2] must be 0.36 to 1.
- The change is minimized if the concentrations of acid and conjugate base are equal.
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Measures of Variability of Qualitative and Ranked Data
- The variation ratio is a simple measure of statistical dispersion in nominal distributions.
- Just as with the range or standard deviation, the larger the variation ratio, the more differentiated or dispersed the data are; and the smaller the variation ratio, the more concentrated and similar the data are.
- This group is more dispersed in terms of gender than a group which is 95% female and has a variation ratio of only 0.05.
- Similarly, a group which is 25% Catholic (where Catholic is the modal religious preference) has a variation ratio of 0.75.
- This group is much more dispersed, religiously, than a group which is 85% Catholic and has a variation ratio of only 0.15.
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Second-Order Reactions
- This was done intentionally, because in order to determine the reaction order in A, we need to choose two experimental trials in which the initial concentration of A changes, but the initial concentration of B is constant, so that the concentration of B cancels.
- We do this by picking two trials in which the concentration of B changes, but the concentration of A does not.
- Trials 1 and 3 will do this for us, and we set up our ratios as follows:
- Note that both k and the concentrations of A cancel.
- A table showing data for three trials measuring the various rates of reaction as the initial concentrations of A and B are changed.
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Weak Acids
- Therefore, the concentration of H+ ions in a weak acid solution is always less than the concentration of the undissociated species, HA.
- The equilibrium concentrations of reactants and products are related by the acid dissociation constant expression, Ka:
- In this case, you can find the pH by solving for concentration of H+ (x) using the acid's concentration (F) and Ka.
- Assume that the concentration of H+ in this simple case is equal to the concentration of A-, since the two dissociate in a 1:1 mole ratio:
- Although it is only a weak acid, a concentrated enough solution of acetic acid can still be quite acidic.
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Redox Titrations
- Redox titration determines the concentration of an analyte containing either an oxidizing or a reducing agent.
- What is the concentration of the analyte?
- We know from our balanced equation above that permanganate and iron react in a 1:5 mole ratio.
- From the balanced equation, Fe2+ and KMnO4 react in a 5:1 mole ratio.
- Calculate the concentration of an unknown analyte by performing a redox titration.
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Basic Principles of Gas Exchange
- Gas exchange during respiration occurs primarily through diffusion: a process in which transport is driven by a concentration gradient and molecules will move from a region of high concentration to a region of low concentration.
- Partial pressure (P) is a measure of the concentration of the individual components in a mixture of gases.
- The various factors that affect gas exchange include oxygen, carbon dioxide, and the ventilation/perfusion (V/Q) ratio.
- The adequacy of pulmonary gas exchange relies on the V/Q ratio (ventilation/perfusion ratio).
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First-Order Reactions
- A first-order reaction depends on the concentration of one reactant, and the rate law is: $r=-\frac{dA}{dt}=k[A]$ .
- A first-order reaction depends on the concentration of only one reactant.
- As usual, k is the rate constant, and must have units of concentration/time; in this case it has units of 1/s.
- We can then run the reaction a second time, but with a different initial concentration of N2O5.
- We can now set up a ratio of the first rate to the second rate:
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Equilibrium Constant Expression
- The equilibrium constant is an expression that gives the ratio of reactants and products at equilibrium.
- The law of chemical equilibrium states that, at any given temperature a chemical system reaches a state in which a particular ratio of reactant and product activities has a constant value.
- The activity of X is equal to the concentration of X if it is a gas or liquid.
- By convention, the equilibrium concentrations of the substances appearing on the right hand side of the chemical equation (the products) are always placed in the numerator of the equilibrium constant expression; the concentrations of the substances appearing on the left hand side of the chemical equation (the reactants) are placed in the denominator.
- The equilibrium constant,denoted by K, is the ratio of products to reactants at equilibrium.
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Strong Acid-Strong Base Titrations
- An acid-base titration is used to determine the unknown concentration of an acid or base by neutralizing it with an acid or base of known concentration.
- Using the stoichiometry of the reaction, the unknown concentration can be determined.
- The other reactant of known concentration remains in a burette to be delivered during the reaction.
- The mole ratio between HCl and NaOH in the balanced equation is 1:1.
- Step 3: Calculate the molar concentration of HCL in the 25.00 mL sample.