## Latex for Equilibrium Chemical Equations and Formulas Latex

rockingdingo 2023-05-28 #Chemical #Chemistry

Latex for Equilibrium Chemical Equations and Formulas Latex

In this blog, we will summarize the latex code of most popular equations and formulas for Equilibrium, Chemistry. The topics include Acid Ionization Constant, Base Ionization Constant, Relationship of Conjugate Acidâ??Base Pair, Negative Logarithms Relationship of Conjugate Acidâ??base Pair, Buffer Design Equation, Gas Pressure and Concentration Relationship, Ion Product Constant for Water, pH and pOH Relationship, pH Definition, pOH Definition, pKa Definition, pKb Definition, pOH and Base Ionization Equilibrium Constant Relationship.

### 1. Chemical Equations

• #### Acid Ionization Constant

Chemical,Chemistry

#### Equation

$HA_{(aq)}+H_2O_{(l)} \rightleftharpoons H_3O^+_{(aq)}+A^â??_{(aq)} \\ K_a=\dfrac{[H_3O^+][A^â??]}{[HA]} \\ HA_{(aq)} \rightleftharpoons H^+_{(aq)}+A^â??_{(aq)} \\ K_aK_b = K_w$

#### Latex Code

            HA_{(aq)}+H_2O_{(l)} \rightleftharpoons H_3O^+_{(aq)}+A^â??_{(aq)} \\
K_a=\dfrac{[H_3O^+][A^â??]}{[HA]} \\
HA_{(aq)} \rightleftharpoons H^+_{(aq)}+A^â??_{(aq)} \\
K_aK_b = K_w


#### Explanation

Latex code for the Acid Ionization Constant. The magnitude of the equilibrium constant for an ionization reaction can be used to determine the relative strengths of acids and bases. For example, the general equation for the ionization of a weak acid in water, where HA is the parent acid and Aâ??is its conjugate base, is as follows:

• $HA$: The parent acid.
• ${A^ - }$: The conjugate base of parent acid HA.
• $K_a$: Equilibrium constants for acid
• $K_b$: Equilibrium constants for conjugate base of the acid
• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### Base Ionization Constant

Chemical,Chemistry

#### Equation

$K_b= \dfrac{[BH^+][OH^â??]}{[B]}$

#### Latex Code

            K_b= \dfrac{[BH^+][OH^â??]}{[B]}


#### Explanation

Latex code for the Base Ionization Constant.

• $HA$: The parent acid.
• ${A^ - }$: The conjugate base of parent acid HA.
• $K_a$: Equilibrium constants for acid
• $K_b$: Equilibrium constants for conjugate base of the acid
• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### Relationship of a conjugate acidâ??base pair

Chemical,Chemistry

#### Equation

$K_aK_b = K_w$

#### Latex Code

            K_aK_b = K_w


#### Explanation

Latex code for the relationship of a conjugate acidâ??base pair

• $HA$: The parent acid.
• ${A^ - }$: The conjugate base of parent acid HA.
• $K_a$: Equilibrium constants for acid
• $K_b$: Equilibrium constants for conjugate base of the acid
• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### Negative Logarithms Relationship of Conjugate Acidâ??base Pair

Chemical,Chemistry

#### Equation

$pKa = â??\log_{10}K_a \\ K_a=10^{â??pK_a} \\ pK_b = â??\log_{10}K_b \\ K_b=10^{â??pK_b} \\ pK_a + pK_b = pK_w$

#### Latex Code

            pKa = â??\log_{10}K_a \\
K_a=10^{â??pK_a} \\
pK_b = â??\log_{10}K_b \\
K_b=10^{â??pK_b} \\
pK_a + pK_b = pK_w


#### Explanation

Latex code for the Negative Logarithms Relationship of Conjugate Acidâ??base Pair.

• $HA$: The parent acid.
• ${A^ - }$: The conjugate base of parent acid HA.
• $K_a$: Equilibrium constants for acid
• $K_b$: Equilibrium constants for conjugate base of the acid
• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### Buffer Design Equation

Chemical,Chemistry

#### Equation

$pH \approx pK_a - \log \frac{{\left[ {HA} \right]_0 }}{{\left[ {A^ - } \right]_0 }}$

#### Latex Code

            pH \approx pK_a - \log \frac{{\left[ {HA} \right]_0 }}{{\left[ {A^ - } \right]_0 }}


#### Explanation

Latex code for Buffer Design Equation.

• $HA$: The parent acid.
• ${A^ - }$: The conjugate base of parent acid HA.
• $K_a$: Equilibrium constants for acid
• $K_b$: Equilibrium constants for conjugate base of the acid
• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### Gas Pressure and Concentration Relationship

Chemical,Chemistry

#### Equation

$K_p = K_c \left( {RT} \right)^{\Delta n}$

#### Latex Code

            K_p = K_c \left( {RT} \right)^{\Delta n}


#### Explanation

Latex code for Gas Pressure and Concentration Relationship.

• #### Ion Product Constant for Water

Chemical,Chemistry

#### Equation

$\begin{array}{*{20}c} {K_w = \left[ {OH^ - } \right]\left[ {H^ + } \right] = K_a \times K_b } \\ {\begin{array}{*{20}c} { = 1.0 \times 10^{ - 14} } & {at} & {25^\circ C} \\ \end{array}} \\ \end{array}$

#### Latex Code

            \begin{array}{*{20}c} {K_w = \left[ {OH^ - } \right]\left[ {H^ + } \right] = K_a \times K_b } \\ {\begin{array}{*{20}c} { = 1.0 \times 10^{ - 14} } & {at} & {25^\circ C} \\ \end{array}} \\ \end{array}


#### Explanation

Latex code for Ion Product Constant for Water.

• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### pH and pOH Relationship

Chemical,Chemistry

#### Equation

$14 = pH + pOH$

#### Latex Code

            14 = pH + pOH


#### Explanation

Latex code for pH and pOH Relationship.

• $K_w$: Equilibrium constants for any conjugate acidâ??base pair.

• #### pH Definition

Chemical,Chemistry

#### Equation

$pH = - \log \left[ {H^ + } \right]$

#### Latex Code

            pH = - \log \left[ {H^ + } \right]


#### Explanation

Latex code for pH Definition.

• $pH$: pH, quantitative measure of the acidity or basicity of aqueous or other liquid solutions.

• #### pOH Definition

Chemical,Chemistry

#### Equation

$pOH = - \log \left[ {OH^ - } \right]$

#### Latex Code

            pOH = - \log \left[ {OH^ - } \right]


#### Explanation

Latex code for pOH Definition. pOH is a measure of hydroxide ion (OH -) concentration. It is used to express the alkalinity of a solution. Aqueous solutions at 25 degrees Celcius with pOH less than 7 are alkaline, pOH greater than 7 are acidic and pOH equal to 7 are neutral.

• $pOH$: pOH

• #### pKa Definition

Chemical,Chemistry

#### Equation

$pH = - \log \left[ {H^ + } \right]$

#### Latex Code

            pH = - \log \left[ {H^ + } \right]


#### Explanation

Latex code for pKa Definition.

• $pH$: pH, quantitative measure of the acidity or basicity of aqueous or other liquid solutions.

• #### pKb Definition

Chemical,Chemistry

#### Equation

$pK_b = - \log K_b$

#### Latex Code

            pK_b = - \log K_b


#### Explanation

Latex code for pKb Definition.

• $pH$: pH, quantitative measure of the acidity or basicity of aqueous or other liquid solutions.

• #### pOH and Base Ionization Equilibrium Constant Relationship

Chemical,Chemistry

#### Equation

$pOH = pK_b + \log \frac{{\left[ {HB^ + } \right]}}{{\left[ B \right]}}$

#### Latex Code

            pOH = pK_b + \log \frac{{\left[ {HB^ + } \right]}}{{\left[ B \right]}}


#### Explanation

Latex code for pOH and Base Ionization Equilibrium Constant Relationship.

• $pH$: pH, quantitative measure of the acidity or basicity of aqueous or other liquid solutions.