Rate constant of first order reaction Calculator

✖The Initial concentration is the abundance of a constituent divided by the total volume of a mixture before diffusion or reaction.ⓘ Initial Concentration [C₀]			+10% -10%
✖Amount reacted in time t represents the amount of reactant reacted to form the product in a first order reaction.ⓘ Amount reacted in time t [x]			+10% -10%
✖Reaction Time is the time taken to complete a reaction to a certain extent.ⓘ Reaction Time [t_reaction]			+10% -10%

✖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.ⓘ Rate constant of first order reaction [K_h]

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Formula

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Rate constant of first order reaction

Formula

`"K"_{"h"} = ln("C"_{"0"}/("C"_{"0"}-"x"))/"t"_{"reaction"}`

Example

`"3.3E^-5Hz"=ln("0.3mol/L"/("0.3mol/L"-"0.1"))/"10s"`

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Rate constant of first order reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time
K_h = ln(C₀/(C₀-x))/t_reaction
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Rate Constant - (Measured in Hertz) - 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.
Initial Concentration - (Measured in Mole per Cubic Meter) - The Initial concentration is the abundance of a constituent divided by the total volume of a mixture before diffusion or reaction.
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.
Reaction Time - (Measured in Second) - Reaction Time is the time taken to complete a reaction to a certain extent.

STEP 1: Convert Input(s) to Base Unit

Initial Concentration: 0.3 Mole per Liter --> 300 Mole per Cubic Meter (Check conversion here)
Amount reacted in time t: 0.1 --> No Conversion Required
Reaction Time: 10 Second --> 10 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_h = ln(C₀/(C₀-x))/t_reaction --> ln(300/(300-0.1))/10

Evaluating ... ...

K_h = 3.33388901237796E-05

STEP 3: Convert Result to Output's Unit

3.33388901237796E-05 Hertz --> No Conversion Required

FINAL ANSWER

3.33388901237796E-05 ≈ 3.3E-5 Hertz <-- Rate Constant

(Calculation completed in 00.020 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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< 11 Kinetics of Phase Transformation Calculators

Total free energy change during solidification

Go Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)

Critical free energy for nucleation

Go Critical free energy = 16*pi*Surface free energy^3*Melting temperature^2/(3*Latent Heat of Fusion^2*Undercooling value^2)

Avrami equation

Go Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation)

Time taken for X percent reaction to complete

Go Reaction Time = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Rate Constant

Rate constant of first order reaction

Go Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time

Critical radius of nucleus

Go Critical radius of nucleus = 2*Surface free energy*Melting temperature/(Latent Heat of Fusion*Undercooling value)

Volume free energy

Go Volume free energy = Latent Heat of Fusion*Undercooling value/Melting temperature

Critical free energy for nucleation( from volume free energy)

Go Critical free energy = 16*pi*Surface free energy^3/(3*Volume free energy^2)

Energy of photon

Go Energy of photon = [hP]*[c]/Wavelength of photon

Critical radius of nucleus (from volume free energy)

Go Critical radius of nucleus = -2*Surface free energy/Volume free energy

Half Life period of first order reaction

Go Half Life Period = ln(2)/Rate Constant

Rate constant of first order reaction Formula

Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time
K_h = ln(C₀/(C₀-x))/t_reaction

Effect of temperature on rate constant

According to collision theory, a reaction at a higher temperature delivers more energy into the system and increases the reaction rate by causing more collisions between particles. The influence of temperature is described by the Arrhenius equation.

How to Calculate Rate constant of first order reaction?

Rate constant of first order reaction calculator uses Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time to calculate 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 calculate Rate constant of first order reaction using this online calculator? To use this online calculator 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. Here is how the Rate constant of first order reaction calculation can be explained with given input values -> 3.3E-5 = ln(300/(300-0.1))/10.

FAQ

What is Rate constant of first order reaction?

Rate constant of first order reaction is the constant of proportionality to initial concentration and the amount of the reactant reacted or product formed and is represented as K_h = ln(C₀/(C₀-x))/t_reaction or Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time. The Initial concentration is the abundance of a constituent divided by the total volume of a mixture before diffusion or reaction, Amount reacted in time t represents the amount of reactant reacted to form the product in a first order reaction & Reaction Time is the time taken to complete a reaction to a certain extent.

How to calculate Rate constant of first order reaction?

Rate constant of first order reaction is the constant of proportionality to initial concentration and the amount of the reactant reacted or product formed is calculated using Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time. To calculate Rate constant of first order reaction, you need Initial Concentration (C₀), Amount reacted in time t (x) & Reaction Time (t_reaction). With our tool, you need to enter the respective value for Initial Concentration, Amount reacted in time t & Reaction Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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