Time taken for X percent reaction to complete 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%
✖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 [K_h]			+10% -10%

✖Reaction Time is the time taken to complete a reaction to a certain extent.ⓘ Time taken for X percent reaction to complete [t_reaction]

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Formula

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Time taken for X percent reaction to complete

Formula

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

Example

`"333.3889s"=ln("0.3mol/L"/("0.3mol/L"-"0.1"))/"0.000001Hz"`

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Time taken for X percent reaction to complete Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Reaction Time - (Measured in Second) - Reaction Time is the time taken to complete a reaction to a certain extent.
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.
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.

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
Rate Constant: 1E-06 Hertz --> 1E-06 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_reaction = ln(C₀/(C₀-x))/K_h --> ln(300/(300-0.1))/1E-06

Evaluating ... ...

t_reaction = 333.388901237796

STEP 3: Convert Result to Output's Unit

333.388901237796 Second --> No Conversion Required

FINAL ANSWER

333.388901237796 ≈ 333.3889 Second <-- Reaction Time

(Calculation completed in 00.004 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

Time taken for X percent reaction to complete Formula

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

Rate of reaction

The rate of a reaction can be defined as the rate of decrease of the concentration of a reactant or as the rate of increase of a product of the reaction. If a reactant of initial concentration C0 has a concentration C at any time t , the rate is expressed as (- dC/dt). If the concentration of the product is x at any time t , the rate is expressed as (dx/dt).

How to Calculate Time taken for X percent reaction to complete?

Time taken for X percent reaction to complete calculator uses Reaction Time = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Rate Constant to calculate the Reaction Time, Time taken for X percent reaction to complete assuming the reaction is first order. Reaction Time is denoted by t_reaction symbol.

How to calculate Time taken for X percent reaction to complete using this online calculator? To use this online calculator for Time taken for X percent reaction to complete, enter Initial Concentration (C₀), Amount reacted in time t (x) & Rate Constant (K_h) and hit the calculate button. Here is how the Time taken for X percent reaction to complete calculation can be explained with given input values -> 333.3889 = ln(300/(300-0.1))/1E-06.

FAQ

What is Time taken for X percent reaction to complete?

Time taken for X percent reaction to complete assuming the reaction is first order and is represented as t_reaction = ln(C₀/(C₀-x))/K_h or Reaction Time = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Rate Constant. 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 & 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.

How to calculate Time taken for X percent reaction to complete?

Time taken for X percent reaction to complete assuming the reaction is first order is calculated using Reaction Time = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Rate Constant. To calculate Time taken for X percent reaction to complete, you need Initial Concentration (C₀), Amount reacted in time t (x) & Rate Constant (K_h). With our tool, you need to enter the respective value for Initial Concentration, Amount reacted in time t & Rate Constant 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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