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Definition of the difference quotient of a function

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Final answer:

The reaction quotient (Q), a key concept in chemistry, is used to measure the relative concentrations or pressures of reactants and products in a reversible reaction to determine the reaction's progress and predict its direction towards equilibrium.

Step-by-step explanation:

The reaction quotient (Q) is a mathematical function used in chemistry to describe the relative amounts of reactants and products in a reaction mixture at a given moment in time. This quotient may be expressed in terms of either concentrations, referred to as Qc, or pressures, denoted as Qp. The reaction quotient has a similar mathematical form as the equilibrium constant expression, but whereas the equilibrium constant is calculated at equilibrium conditions, Q can be computed from concentrations or pressures at any stage of the reaction.

Q is particularly useful in the context of a reversible reaction, which is a chemical reaction that can proceed in both the forward and reverse directions under certain conditions. By comparing the value of Q to the equilibrium constant (K) of the reaction, one can predict the direction in which the reaction will shift to reach equilibrium; if Q < K, the reaction will proceed in the forward direction, and if Q > K, it will proceed in the reverse direction until equilibrium is established. Thus, points on a graph which do not align with the equilibrium line or curve for a reaction at a given temperature and pressure indicate a nonequilibrium state and the system will move to achieve equilibrium if it is able to.

User Manish Singla
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Answer:

Step-by-step explanation:

The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.

User Yovav
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