Latex for Equilibrium Chemical Equations and Formulas Latex

rockingdingo 2024-08-25 23:05 #Chemical #Chemistry

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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

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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- Acid base ionization constants (Ka and Kb relationship)
Related Videos
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.
Related Documents
- pH chemistry
Related Videos
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
Related Documents
- pOH chemistry
Related Videos
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.
Related Documents
- pH chemistry
Related Videos
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.
Related Documents
- pH chemistry
Related Videos
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.
Related Documents
- pH chemistry
Related Videos