Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A Calculator

✖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 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%
✖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.ⓘ Concentration of Product at Time t [x]			+10% -10%

✖Forward Reaction Rate Constant for 2nd Order is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.ⓘ Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A [k_f']

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Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A

Formula

`("k"_{"f"}"'") = (1/"t")*("x"_{"eq"}/("A"_{"0"}^2-"x"_{"eq"}^2))*ln(("x"_{"eq"}*("A"_{"0"}^2-"x"*"x"_{"eq"}))/("A"_{"0"}^2*("x"_{"eq"}-"x")))`

Example

`"1.1E^-6L/(mol*s)"=(1/"3600s")*("70mol/L"/(("100mol/L")^2-("70mol/L")^2))*ln(("70mol/L"*(("100mol/L")^2-"27.5mol/L"*"70mol/L"))/(("100mol/L")^2*("70mol/L"-"27.5mol/L")))`

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Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Forward Reaction Rate Constant for 2nd Order = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant A^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
k_f' = (1/t)*(x_eq/(A₀^2-x_eq^2))*ln((x_eq*(A₀^2-x*x_eq))/(A₀^2*(x_eq-x)))
This formula uses 1 Functions, 5 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

Forward Reaction Rate Constant for 2nd Order - (Measured in Cubic Meter per Mole Second) - Forward Reaction Rate Constant for 2nd Order 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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Time: 3600 Second --> 3600 Second No Conversion Required
Concentration of Reactant at Equilibrium: 70 Mole per Liter --> 70000 Mole per Cubic Meter (Check conversion here)
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Concentration of Product at Time t: 27.5 Mole per Liter --> 27500 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_f' = (1/t)*(x_eq/(A₀^2-x_eq^2))*ln((x_eq*(A₀^2-x*x_eq))/(A₀^2*(x_eq-x))) --> (1/3600)*(70000/(100000^2-70000^2))*ln((70000*(100000^2-27500*70000))/(100000^2*(70000-27500)))

Evaluating ... ...

k_f' = 1.08728354882115E-09

STEP 3: Convert Result to Output's Unit

1.08728354882115E-09 Cubic Meter per Mole Second -->1.08728354882115E-06 Liter per Mole Second (Check conversion here)

FINAL ANSWER

1.08728354882115E-06 ≈ 1.1E-6 Liter per Mole Second <-- Forward Reaction Rate Constant for 2nd Order

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Chemical Kinetics » Complex Reactions » Reversible Reactions » Second Order Opposed by First Order Reactions » Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A

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< 5 Second Order Opposed by First Order Reactions Calculators

Time taken for 2nd Order Opposed by 1st Order Reaction given Initial Conc of Reactant A

Go Time = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium/((Initial Concentration of Reactant A^2)-(Concentration of Reactant at Equilibrium^2)))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A

Go Forward Reaction Rate Constant for 2nd Order = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant A^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Time taken for Second Order Opposed by First Order Reaction given Initial Conc. of Reactant B

Go Time = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant B^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant B^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant B^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B

Go Forward Reaction Rate Constant given B = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant B^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant B^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant B^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction

Go Rate Constant for Backward Reaction = Forward Reaction Rate Constant for 2nd Order*((Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium))/Concentration of Reactant at Equilibrium

Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A Formula

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 Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A?

Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A calculator uses Forward Reaction Rate Constant for 2nd Order = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant A^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))) to calculate the Forward Reaction Rate Constant for 2nd Order, The Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction. Forward Reaction Rate Constant for 2nd Order is denoted by k_f' symbol.

How to calculate Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A using this online calculator? To use this online calculator for Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A, enter Time (t), Concentration of Reactant at Equilibrium (x_eq), Initial Concentration of Reactant A (A₀) & Concentration of Product at Time t (x) and hit the calculate button. Here is how the Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A calculation can be explained with given input values -> 0.001087 = (1/3600)*(70000/(100000^2-70000^2))*ln((70000*(100000^2-27500*70000))/(100000^2*(70000-27500))).

FAQ

What is Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A?

The Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction and is represented as k_f' = (1/t)*(x_eq/(A₀^2-x_eq^2))*ln((x_eq*(A₀^2-x*x_eq))/(A₀^2*(x_eq-x))) or Forward Reaction Rate Constant for 2nd Order = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant A^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))). 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, Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition, Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0 & 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.

How to calculate Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A?

The Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction is calculated using Forward Reaction Rate Constant for 2nd Order = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant A^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))). To calculate Forward Rxn. Rate Const. for 2nd Order Opposed by 1st Order Rxn. given Ini. Conc. of Reactant A, you need Time (t), Concentration of Reactant at Equilibrium (x_eq), Initial Concentration of Reactant A (A₀) & Concentration of Product at Time t (x). With our tool, you need to enter the respective value for Time, Concentration of Reactant at Equilibrium, Initial Concentration of Reactant A & Concentration of Product at Time t 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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