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Decomposition reactions calculation

11 May 2024

Tags: Chemistry Chemistry Chemical Reactions Decomposition reactions

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Decomposition Reactions

This calculator provides the calculation of concentrations of reactants A and B in a first-order decomposition reaction.

Explanation

Calculation Example: Decomposition reactions are chemical reactions in which a single reactant breaks down into two or more products. The rate of a decomposition reaction is typically first-order, meaning that the rate of the reaction is proportional to the concentration of the reactant.

Q: What is the half-life of a first-order decomposition reaction?

A: The half-life of a first-order decomposition reaction is the time it takes for the concentration of the reactant to decrease to half of its initial value. It is given by the formula t1/2 = ln(2) / k, where k is the rate constant.

Q: How does the rate constant affect the rate of a decomposition reaction?

A: The rate constant is a measure of the rate of a reaction. A larger rate constant means that the reaction will proceed more quickly. The rate of a decomposition reaction is directly proportional to the rate constant.

Variables

Symbol Name Unit
A Initial Concentration of A mol/L
B Initial Concentration of B mol/L
k Rate Constant 1/s
t Time s

Calculation Expression

Concentration of A: The concentration of A at time t is given by [A] = A0 * exp(-kt)

A * exp(-k * t)

Concentration of B: The concentration of B at time t is given by [B] = B0 + (A0 - A) / 2

B + (A - A * exp(-k * t)) / 2

Calculated values

Considering these as variable values: A=1.0, B=1.0, t=10.0, k=0.1, the calculated value(s) are given in table below

Derived Variable Value
Concentration of A 0.367879

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