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  2. Equilibrium constant - Wikipedia

    en.wikipedia.org/wiki/Equilibrium_constant

    ML + L ⇌ ML 2; [ML 2] = K[ML][L] = Kβ 11 [M][L] 2. It follows that β 12 = Kβ 11. A cumulative constant can always be expressed as the product of stepwise constants. There is no agreed notation for stepwise constants, though a symbol such as K L ML is sometimes found in the literature. It is best always to define each stability constant by ...

  3. Extent of reaction - Wikipedia

    en.wikipedia.org/wiki/Extent_of_reaction

    However, the extent of reaction can be used to describe the changes on a common footing as needed. The change of the number of moles of A can be represented by the equation d n A = − d ξ {\displaystyle dn_{A}=-d\xi } , the change of B is d n B = + 2 d ξ {\displaystyle dn_{B}=+2d\xi } , and the change of C is d n C = + 3 d ξ {\displaystyle ...

  4. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    Note: The reason why this works is that if we have: a+b=c and b is a multiple of any given number n, then a and c will necessarily produce the same remainder when divided by n. In other words, in 2 + 7 = 9, 7 is divisible by 7. So 2 and 9 must have the same remainder when divided by 7. The remainder is 2.

  5. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    Divisors can be negative as well as positive, although often the term is restricted to positive divisors. For example, there are six divisors of 4; they are 1, 2, 4, −1, −2, and −4, but only the positive ones (1, 2, and 4) would usually be mentioned. 1 and −1 divide (are divisors of) every integer.

  6. Damköhler numbers - Wikipedia

    en.wikipedia.org/wiki/Damköhler_numbers

    As can be seen, as the Damköhler number increases, the other term must decrease. The ensuing polynomial can be solved and the conversion for the rule of thumb Damköhler numbers found. Alternatively, one can graph the expressions and see where they intersect with the line given by the inverse Damköhler number to see the solution for conversion.

  7. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    Logarithm tables can be used to divide two numbers, by subtracting the two numbers' logarithms, then looking up the antilogarithm of the result. Division can be calculated with a slide rule by aligning the divisor on the C scale with the dividend on the D scale. The quotient can be found on the D scale where it is aligned with the left index on ...

  8. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    Specifically, the 2-order of a nonzero integer n is the maximum integer value k such that n/2 k is an integer. This is equivalent to the multiplicity of 2 in the prime factorization. A singly even number can be divided by 2 only once; it is even but its quotient by 2 is odd.

  9. Reaction rate constant - Wikipedia

    en.wikipedia.org/wiki/Reaction_rate_constant

    where A and B are reactants C is a product a, b, and c are stoichiometric coefficients,. the reaction rate is often found to have the form: = [] [] Here ⁠ ⁠ is the reaction rate constant that depends on temperature, and [A] and [B] are the molar concentrations of substances A and B in moles per unit volume of solution, assuming the reaction is taking place throughout the volume of the ...