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

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✖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%
✖Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward direction.ⓘ Backward Reaction Rate Constant [k_b]			+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%

✖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 Concentration of 1st Order Opposed by 1st Order Reaction at given Time t [x]

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Formula

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

Formula

x = x eq \cdot (1 - \exp (- (k f + k b) \cdot t))

Example

27.59038 mol/L = 70 mol/L \cdot (1 - \exp (- (0.0000974 s⁻¹ + 0.0000418 s⁻¹) \cdot 3600 s))

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Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t 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+Backward Reaction Rate Constant)*Time))
x = x_eq*(1-exp(-(k_f+k_b)*t))
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.
Backward Reaction Rate Constant - (Measured in 1 Per Second) - Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward 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.

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
Backward Reaction Rate Constant: 4.18E-05 1 Per Second --> 4.18E-05 1 Per Second No Conversion Required
Time: 3600 Second --> 3600 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = x_eq*(1-exp(-(k_f+k_b)*t)) --> 70000*(1-exp(-(9.74E-05+4.18E-05)*3600))

Evaluating ... ...

x = 27590.3792046538

STEP 3: Convert Result to Output's Unit

27590.3792046538 Mole per Cubic Meter -->27.5903792046538 Mole per Liter (Check conversion here)

FINAL ANSWER

27.5903792046538 ≈ 27.59038 Mole per Liter <-- Concentration of Product at Time t

(Calculation completed in 00.004 seconds)

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< 5 First Order Opposed by First Order Reactions Calculators

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

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

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

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)

Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t

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

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

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

< 5 Important Formulas on Reversible Reaction Calculators

Reactant Concentration at given Time t

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

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

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)))

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

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

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

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

Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))
x = x_eq*(1-exp(-(k_f+k_b)*t))

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

Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t calculator uses Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)) to calculate the Concentration of Product at Time t, The Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t 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 Concentration of 1st Order Opposed by 1st Order Reaction at given Time t using this online calculator? To use this online calculator for Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t, enter Concentration of Reactant at Equilibrium (x_eq), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) and hit the calculate button. Here is how the Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t calculation can be explained with given input values -> 0.02759 = 70000*(1-exp(-(9.74E-05+4.18E-05)*3600)).

FAQ

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

The Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t formula is defined as the concentration of product formed at the time t and is represented as x = x_eq*(1-exp(-(k_f+k_b)*t)) or Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)). 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, Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward 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.

How to calculate Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t?

The Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t 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+Backward Reaction Rate Constant)*Time)). To calculate Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t, you need Concentration of Reactant at Equilibrium (x_eq), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t). With our tool, you need to enter the respective value for Concentration of Reactant at Equilibrium, Forward Reaction Rate Constant, Backward Reaction Rate Constant & 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 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, Backward Reaction Rate Constant & Time. We can use 4 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*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium)))
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))
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)))

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