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

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Forward Reaction Rate Constant given B 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. Check FAQs

k fB' = (\frac{1}{t}) \cdot (\frac{x eq}{{B 0}^{2} - {x eq}^{2}}) \cdot \ln (\frac{x eq \cdot ({B 0}^{2} - x \cdot x eq)}{{B 0}^{2} \cdot (x eq - x)})

k_fB' - Forward Reaction Rate Constant given B?t - Time?x_eq - Concentration of Reactant at Equilibrium?B₀ - Initial Concentration of Reactant B?x - Concentration of Product at Time t?

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

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Here is how the Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B equation looks like with Values.

Here is how the Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B equation looks like with Units.

Here is how the Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B equation looks like.

1.8E-6 = (\frac{1}{3600}) \cdot (\frac{70}{80^{2} - 70^{2}}) \cdot \ln (\frac{70 \cdot (80^{2} - 27.5 \cdot 70)}{80^{2} \cdot (70 - 27.5)})

1.8E-6L/(mol*s) = (\frac{1}{3600s}) \cdot (\frac{70mol/L}{{80mol/L}^{2} - {70mol/L}^{2}}) \cdot \ln (\frac{70mol/L \cdot ({80mol/L}^{2} - 27.5mol/L \cdot 70mol/L)}{{80mol/L}^{2} \cdot (70mol/L - 27.5mol/L)})

1.8E-6 = (\frac{1}{3600}) \cdot (\frac{70}{80^{2} - 70^{2}}) \cdot \ln (\frac{70 \cdot (80^{2} - 27.5 \cdot 70)}{80^{2} \cdot (70 - 27.5)})

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

Follow our step by step solution on how to calculate Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B?

FIRST Step Consider the formula

k fB' = (\frac{1}{t}) \cdot (\frac{x eq}{{B 0}^{2} - {x eq}^{2}}) \cdot \ln (\frac{x eq \cdot ({B 0}^{2} - x \cdot x eq)}{{B 0}^{2} \cdot (x eq - x)})

Next Step Substitute values of Variables

∴

k fB' = (\frac{1}{3600s}) \cdot (\frac{70mol/L}{{80mol/L}^{2} - {70mol/L}^{2}}) \cdot \ln (\frac{70mol/L \cdot ({80mol/L}^{2} - 27.5mol/L \cdot 70mol/L)}{{80mol/L}^{2} \cdot (70mol/L - 27.5mol/L)})

Next Step Convert Units

∴

k fB' = (\frac{1}{3600s}) \cdot (\frac{70000mol/m³}{{80000mol/m³}^{2} - {70000mol/m³}^{2}}) \cdot \ln (\frac{70000mol/m³ \cdot ({80000mol/m³}^{2} - 27500mol/m³ \cdot 70000mol/m³)}{{80000mol/m³}^{2} \cdot (70000mol/m³ - 27500mol/m³)})

Next Step Prepare to Evaluate

∴

k fB' = (\frac{1}{3600}) \cdot (\frac{70000}{80000^{2} - 70000^{2}}) \cdot \ln (\frac{70000 \cdot (80000^{2} - 27500 \cdot 70000)}{80000^{2} \cdot (70000 - 27500)})

Next Step Evaluate

∴

k fB' = 1.83036424511345E-09m³/(mol*s)

Next Step Convert to Output's Unit

∴

k fB' = 1.83036424511345E-06L/(mol*s)

LAST Step Rounding Answer

∴

k fB' = 1.8E-6L/(mol*s)

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

Variables

Functions

Forward Reaction Rate Constant given B

Forward Reaction Rate Constant given B 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.

Symbol: k_fB'

Measurement: Second Order Reaction Rate ConstantUnit: L/(mol*s)

Note: Value can be positive or negative.

Formulas to find Forward Reaction Rate Constant given B

Time

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.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than -1.

Formulas to find Time

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.

Symbol: x_eq

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Concentration of Reactant at Equilibrium

Initial Concentration of Reactant B

Initial Concentration of Reactant B is defined as the initial concentration of the reactant B at time t=0.

Symbol: B₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant B

Concentration of Product at Time t

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.

Symbol: x

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Concentration of Product at Time t

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Second Order Opposed by First Order Reactions category

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

x = x eq \cdot (1 - \exp (- k f \cdot (\frac{A 0 + B 0}{B 0 + x eq}) \cdot t))

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

x = x eq \cdot (1 - \exp (- k f \cdot t \cdot (\frac{A 0}{x eq})))

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

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

Go Reactant Concentration at given Time t

A = A 0 \cdot (\frac{k f}{k f + k b}) \cdot ((\frac{k b}{k f}) + \exp (- (k f + k b) \cdot t))

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

Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B evaluator uses 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))) to evaluate the Forward Reaction Rate Constant given B, The Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B 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 given B is denoted by k_fB' symbol.

How to evaluate Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B using this online evaluator? To use this online evaluator for Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B, enter Time (t), Concentration of Reactant at Equilibrium (x_eq), Initial Concentration of Reactant B (B₀) & Concentration of Product at Time t (x) and hit the calculate button.

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

What is the formula to find Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B?

The formula of Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B is expressed as 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))). Here is an example- 0.00183 = (1/3600)*(70000/(80000^2-70000^2))*ln((70000*(80000^2-27500*70000))/(80000^2*(70000-27500))).

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

With Time (t), Concentration of Reactant at Equilibrium (x_eq), Initial Concentration of Reactant B (B₀) & Concentration of Product at Time t (x) we can find Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B using the formula - 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))). This formula also uses Natural Logarithm (ln) function(s).

Can the Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B be negative?

Yes, the Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B, measured in Second Order Reaction Rate Constant can be negative.

Which unit is used to measure Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B?

Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B is usually measured using the Liter per Mole Second[L/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Mole Second[L/(mol*s)], Cubic Meter per Kilomole Millisecond[L/(mol*s)], Liter per Mole Millisecond[L/(mol*s)] are the few other units in which Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B can be measured.

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

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

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

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

Other formulas in Second Order Opposed by First Order Reactions category

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

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

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