Rate constant given average time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant for First Order Reaction = 1/Average time
kfirst = 1/tavg
This formula uses 2 Variables
Variables Used
Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.
Average time - (Measured in Second) - The average time is defined as the rate of change of concentration per unit average rate of the reaction.
STEP 1: Convert Input(s) to Base Unit
Average time: 1.92 Second --> 1.92 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kfirst = 1/tavg --> 1/1.92
Evaluating ... ...
kfirst = 0.520833333333333
STEP 3: Convert Result to Output's Unit
0.520833333333333 1 Per Second --> No Conversion Required
FINAL ANSWER
0.520833333333333 0.520833 1 Per Second <-- Rate Constant for First Order Reaction
(Calculation completed in 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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National Institute of Information Technology (NIIT), Neemrana
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18 First Order Reaction Calculators

Graphical Representation of Time for Completion
Go Time for completion = (2.303/Rate Constant for First Order Reaction)*log10(Initial Concentration for First Order Reaction)-(2.303/Rate Constant for First Order Reaction)*log10(Concentration at Time t)
Temperature in Arrhenius Equation for First Order Reaction
Go Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))
Rate Constant for First Order Reaction from Arrhenius Equation
Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Arrhenius Constant for First Order Reaction
Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Activation Energy for First Order Reaction
Go Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction))
Time for Completion for First Order given Rate Constant and Initial Concentration
Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
Rate Constant of First Order Reaction using Logarithm to base 10
Go Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
Time for Completion of First Order Reaction
Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A)
Time for Completion by Titration Method for First Order Reaction
Go Time for completion = (2.303/Rate Constant for First Order Reaction)*log10(Initial Reactant Volume/Volume at Time t)
Rate Constant by Titration Method for First Order Reaction
Go Rate Constant for First Order Reaction = (2.303/Time for completion)*log10(Initial Reactant Volume/Volume at Time t)
Relaxation Time of Reversible First Order
Go Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order)
Quarter Life of First Order Reaction
Go Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction
Rate Constant at Half Time for First Order Reaction
Go Rate Constant for First Order Reaction = 0.693/Half Time
Half Time Completion of First Order Reaction
Go Half Time = 0.693/Rate Constant for First Order Reaction
Average Time of Completion for First Order Reaction
Go Average time = 1/Rate Constant for First Order Reaction
Rate constant given average time
Go Rate Constant for First Order Reaction = 1/Average time
Half Time for Completion given Average Time
Go Half Time = Average time/1.44
Average Time of Completion given Half Time
Go Average time = 1.44*Half Time

Rate constant given average time Formula

Rate Constant for First Order Reaction = 1/Average time
kfirst = 1/tavg

What is first-order reaction?

In the first-order reaction, the rate of reaction is proportional to the first power of the concentration of the reactant. The concentration of the reactant in the first-order reaction decreases exponentially with time.

How to Calculate Rate constant given average time?

Rate constant given average time calculator uses Rate Constant for First Order Reaction = 1/Average time to calculate the Rate Constant for First Order Reaction, The Rate constant given average time formula is defined as the rate constant of the first-order reaction that is inversely proportional to the average time of the reaction. Rate Constant for First Order Reaction is denoted by kfirst symbol.

How to calculate Rate constant given average time using this online calculator? To use this online calculator for Rate constant given average time, enter Average time (tavg) and hit the calculate button. Here is how the Rate constant given average time calculation can be explained with given input values -> 0.166667 = 1/1.92.

FAQ

What is Rate constant given average time?
The Rate constant given average time formula is defined as the rate constant of the first-order reaction that is inversely proportional to the average time of the reaction and is represented as kfirst = 1/tavg or Rate Constant for First Order Reaction = 1/Average time. The average time is defined as the rate of change of concentration per unit average rate of the reaction.
How to calculate Rate constant given average time?
The Rate constant given average time formula is defined as the rate constant of the first-order reaction that is inversely proportional to the average time of the reaction is calculated using Rate Constant for First Order Reaction = 1/Average time. To calculate Rate constant given average time, you need Average time (tavg). With our tool, you need to enter the respective value for Average time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Rate Constant for First Order Reaction?
In this formula, Rate Constant for First Order Reaction uses Average time. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
  • Rate Constant for First Order Reaction = 0.693/Half Time
  • Rate Constant for First Order Reaction = (2.303/Time for completion)*log10(Initial Reactant Volume/Volume at Time t)
  • Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))
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