Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant Calculator

✖Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.ⓘ Concentration of Reactant at Equilibrium [x_eq]			+10% -10%
✖Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.ⓘ Forward Reaction Rate Constant [k_f]			+10% -10%
✖Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.ⓘ Time [t]			+10% -10%
✖Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.ⓘ Initial Concentration of Reactant A [A₀]			+10% -10%

✖Concentration of Product at Time t is defined as the amount of reactant that has been converted into product in a time interval of t.ⓘ Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant [x]

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Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium)))
x = x_eq*(1-exp(-k_f*t*(A₀/x_eq)))
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Concentration of Product at Time t - (Measured in Mole per Cubic Meter) - Concentration of Product at Time t is defined as the amount of reactant that has been converted into product in a time interval of t.
Concentration of Reactant at Equilibrium - (Measured in Mole per Cubic Meter) - Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.
Forward Reaction Rate Constant - (Measured in 1 Per Second) - Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.
Time - (Measured in Second) - Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.
Initial Concentration of Reactant A - (Measured in Mole per Cubic Meter) - Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

STEP 1: Convert Input(s) to Base Unit

Concentration of Reactant at Equilibrium: 70 Mole per Liter --> 70000 Mole per Cubic Meter (Check conversion here)
Forward Reaction Rate Constant: 9.74E-05 1 Per Second --> 9.74E-05 1 Per Second No Conversion Required
Time: 3600 Second --> 3600 Second No Conversion Required
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = x_eq*(1-exp(-k_f*t*(A₀/x_eq))) --> 70000*(1-exp(-9.74E-05*3600*(100000/70000)))

Evaluating ... ...

x = 27581.65404239

STEP 3: Convert Result to Output's Unit

27581.65404239 Mole per Cubic Meter -->27.58165404239 Mole per Liter (Check conversion here)

FINAL ANSWER

27.58165404239 ≈ 27.58165 Mole per Liter <-- Concentration of Product at Time t

(Calculation completed in 00.007 seconds)

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Home » Chemistry » Chemical Kinetics » Complex Reactions » Reversible Reactions » First Order Opposed by First Order Reactions » Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant

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< First Order Opposed by First Order Reactions Calculators

Backward Reaction Rate Constant of First Order Opposed by First Order Reaction

LaTeX Go Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time taken for Backward Reaction)-Forward Reaction Rate Constant

Forward Reaction Rate Constant of First Order Opposed by First Order Reaction

LaTeX Go Forward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Backward Reaction Rate Constant

Time taken for 1st Order Opposed by 1st Order Reaction

LaTeX Go Time = ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant)

Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t

LaTeX Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

< Important Formulas on Reversible Reaction Calculators

Reactant Concentration at given Time t

LaTeX Go Concentration of A at Time t = Initial Concentration of Reactant A*(Forward Reaction Rate Constant/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*((Backward Reaction Rate Constant/Forward Reaction Rate Constant)+exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Product Conc for 1st Order Opposed by 1st Order Rxn given Initial Conc of B greater than 0

LaTeX Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*((Initial Concentration of Reactant A+Initial Concentration of Reactant B)/(Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium))*Time))

Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant

LaTeX Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium)))

Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t

LaTeX Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant Formula

LaTeX Go

What is an Opposing Reaction?

Opposing reactions or reversible reactions are those in which both forward and backward reaction takes place simultaneously. To start with, the rate of forward reaction is very large and it decreases as reactant concentration decreases with time. Similarly, initially the rate of backward reaction is slow and it increases as product concentration increases with time.
The state at which the rate of forward reaction equals the rate of backward reaction is called the equilibrium state.

How to Calculate Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant?

Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant calculator uses Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium))) to calculate the Concentration of Product at Time t, The Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant formula is defined as the concentration of product formed at the time t. Concentration of Product at Time t is denoted by x symbol.

How to calculate Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant using this online calculator? To use this online calculator for Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant, enter Concentration of Reactant at Equilibrium (x_eq), Forward Reaction Rate Constant (k_f), Time (t) & Initial Concentration of Reactant A (A₀) and hit the calculate button. Here is how the Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant calculation can be explained with given input values -> 0.027582 = 70000*(1-exp(-9.74E-05*3600*(100000/70000))).

FAQ

What is Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant?

The Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant formula is defined as the concentration of product formed at the time t and is represented as x = x_eq*(1-exp(-k_f*t*(A₀/x_eq))) or Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium))). Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition, Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction, Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction & Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

How to calculate Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant?

The Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant formula is defined as the concentration of product formed at the time t is calculated using Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium))). To calculate Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant, you need Concentration of Reactant at Equilibrium (x_eq), Forward Reaction Rate Constant (k_f), Time (t) & Initial Concentration of Reactant A (A₀). With our tool, you need to enter the respective value for Concentration of Reactant at Equilibrium, Forward Reaction Rate Constant, Time & Initial Concentration of Reactant A 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 Concentration of Product at Time t?

In this formula, Concentration of Product at Time t uses Concentration of Reactant at Equilibrium, Forward Reaction Rate Constant, Time & Initial Concentration of Reactant A. We can use 3 other way(s) to calculate the same, which is/are as follows -

Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))
Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*((Initial Concentration of Reactant A+Initial Concentration of Reactant B)/(Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium))*Time))
Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*((Initial Concentration of Reactant A+Initial Concentration of Reactant B)/(Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium))*Time))

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