FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Rate constant of first order reaction Formula

Fx Copy

LaTeX Copy

Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product. Check FAQs

K h = \frac{\ln (\frac{C 0}{C 0 - x})}{t reaction}

K_h - Rate Constant?C₀ - Initial Concentration?x - Amount reacted in time t?t_reaction - Reaction Time?

Rate constant of first order reaction Example

With values

With units

Only example

Here is how the Rate constant of first order reaction equation looks like with Values.

Here is how the Rate constant of first order reaction equation looks like with Units.

Here is how the Rate constant of first order reaction equation looks like.

3.3E-5 = \frac{\ln (\frac{0.3}{0.3 - 0.1})}{10}

3.3E-5Hz = \frac{\ln (\frac{0.3mol/L}{0.3mol/L - 0.1})}{10s}

3.3E-5 = \frac{\ln (\frac{0.3}{0.3 - 0.1})}{10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Materials Science » Category

Phase Diagrams and Phase Transformations » fx Rate constant of first order reaction

Rate constant of first order reaction Solution

Follow our step by step solution on how to calculate Rate constant of first order reaction?

FIRST Step Consider the formula

K h = \frac{\ln (\frac{C 0}{C 0 - x})}{t reaction}

Next Step Substitute values of Variables

∴

K h = \frac{\ln (\frac{0.3mol/L}{0.3mol/L - 0.1})}{10s}

Next Step Convert Units

∴

K h = \frac{\ln (\frac{300mol/m³}{300mol/m³ - 0.1})}{10s}

Next Step Prepare to Evaluate

∴

K h = \frac{\ln (\frac{300}{300 - 0.1})}{10}

Next Step Evaluate

∴

K h = 3.33388901237796E-05Hz

LAST Step Rounding Answer

∴

K h = 3.3E-5Hz

Rate constant of first order reaction Formula Elements

Variables

Functions

Rate Constant

Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product.

Symbol: K_h

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Rate Constant

Initial Concentration

The Initial concentration is the abundance of a constituent divided by the total volume of a mixture before diffusion or reaction.

Symbol: C₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Initial Concentration

Amount reacted in time t

Amount reacted in time t represents the amount of reactant reacted to form the product in a first order reaction.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Amount reacted in time t

Reaction Time

Reaction Time is the time taken to complete a reaction to a certain extent.

Symbol: t_reaction

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reaction Time

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Kinetics of Phase Transformation category

Go Critical radius of nucleus

r * = 2 \cdot 𝛾 \cdot \frac{T m}{ΔH f \cdot ΔT}

Go Critical free energy for nucleation

ΔG * = 16 \cdot π \cdot 𝛾^{3} \cdot \frac{{T m}^{2}}{3 \cdot {ΔH f}^{2} \cdot {ΔT}^{2}}

Go Volume free energy

𝚫G v = ΔH f \cdot \frac{ΔT}{T m}

Go Critical radius of nucleus (from volume free energy)

r * = - 2 \cdot \frac{𝛾}{𝚫G v}

How to Evaluate Rate constant of first order reaction?

Rate constant of first order reaction evaluator uses Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time to evaluate the Rate Constant, Rate constant of first order reaction is the constant of proportionality to initial concentration and the amount of the reactant reacted or product formed. Rate Constant is denoted by K_h symbol.

How to evaluate Rate constant of first order reaction using this online evaluator? To use this online evaluator for Rate constant of first order reaction, enter Initial Concentration (C₀), Amount reacted in time t (x) & Reaction Time (t_reaction) and hit the calculate button.

FAQs on Rate constant of first order reaction

What is the formula to find Rate constant of first order reaction?

The formula of Rate constant of first order reaction is expressed as Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time. Here is an example- 3.3E-5 = ln(300/(300-0.1))/10.

How to calculate Rate constant of first order reaction?

With Initial Concentration (C₀), Amount reacted in time t (x) & Reaction Time (t_reaction) we can find Rate constant of first order reaction using the formula - Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time. This formula also uses Natural Logarithm (ln) function(s).

Can the Rate constant of first order reaction be negative?

Yes, the Rate constant of first order reaction, measured in Frequency can be negative.

Which unit is used to measure Rate constant of first order reaction?

Rate constant of first order reaction is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Rate constant of first order reaction can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Rate constant of first order reaction Formula

Rate constant of first order reaction Example

Rate constant of first order reaction Solution

Rate constant of first order reaction Formula Elements

Other formulas in Kinetics of Phase Transformation category

How to Evaluate Rate constant of first order reaction?

FAQs on Rate constant of first order reaction

Variable Name