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Initial Concentration of Reactant given Concentration of Product Formula

GoInitial Concentration of Reactant for First Order Opposed by First Order Reaction Formula

GoInitial Concentration of Reactant A given Initial Concentration of B greater than 0 Formula

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Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0. Check FAQs

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

A₀ - Initial Concentration of Reactant A?B - Concentration of B?k_f - Forward Reaction Rate Constant?k_b - Backward Reaction Rate Constant?t - Time?

Initial Concentration of Reactant given Concentration of Product Example

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Here is how the Initial Concentration of Reactant given Concentration of Product equation looks like with Values.

Here is how the Initial Concentration of Reactant given Concentration of Product equation looks like with Units.

Here is how the Initial Concentration of Reactant given Concentration of Product equation looks like.

36.2594 = 10 \cdot (\frac{9.7E-5 + 4.2E-5}{9.7E-5}) \cdot (\frac{1}{1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600)})

36.2594mol/L = 10mol/L \cdot (\frac{9.7E-5s⁻¹ + 4.2E-5s⁻¹}{9.7E-5s⁻¹}) \cdot (\frac{1}{1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s)})

36.2594 = 10 \cdot (\frac{9.7E-5 + 4.2E-5}{9.7E-5}) \cdot (\frac{1}{1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600)})

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Initial Concentration of Reactant given Concentration of Product Solution

Follow our step by step solution on how to calculate Initial Concentration of Reactant given Concentration of Product?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A 0 = 10mol/L \cdot (\frac{9.7E-5s⁻¹ + 4.2E-5s⁻¹}{9.7E-5s⁻¹}) \cdot (\frac{1}{1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s)})

Next Step Convert Units

∴

A 0 = 10000mol/m³ \cdot (\frac{9.7E-5s⁻¹ + 4.2E-5s⁻¹}{9.7E-5s⁻¹}) \cdot (\frac{1}{1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s)})

Next Step Prepare to Evaluate

∴

A 0 = 10000 \cdot (\frac{9.7E-5 + 4.2E-5}{9.7E-5}) \cdot (\frac{1}{1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600)})

Next Step Evaluate

∴

A 0 = 36259.4029678768mol/m³

Next Step Convert to Output's Unit

∴

A 0 = 36.2594029678768mol/L

LAST Step Rounding Answer

∴

A 0 = 36.2594mol/L

Initial Concentration of Reactant given Concentration of Product Formula Elements

Variables

Functions

Initial Concentration of Reactant A

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

Symbol: A₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant A

Concentration of B

Concentration of B is defined as the amount of substance B present after reacting for a given interval of time t.

Symbol: B

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than -1.

Formulas to find Concentration of B

Forward Reaction Rate Constant

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.

Symbol: k_f

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Forward Reaction Rate Constant

Backward Reaction Rate Constant

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.

Symbol: k_b

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Backward Reaction Rate Constant

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

exp

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

Syntax: exp(Number)

Other Formulas to find Initial Concentration of Reactant A

Go Initial Concentration of Reactant for First Order Opposed by First Order Reaction

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

Go Initial Concentration of Reactant A given Initial Concentration of B greater than 0

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

Other formulas in First Order Opposed by First Order Reactions category

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

t = \frac{\ln (\frac{x eq}{x eq - x})}{k f + k b}

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

k f = (\frac{\ln (\frac{x eq}{x eq - x})}{t}) - k b

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

k b = (\frac{\ln (\frac{x eq}{x eq - x})}{t back}) - k f

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))

How to Evaluate Initial Concentration of Reactant given Concentration of Product?

Initial Concentration of Reactant given Concentration of Product evaluator uses Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))) to evaluate the Initial Concentration of Reactant A, The Initial Concentration of Reactant given Concentration of Product formula is defined as the amount of reactant present in the reaction system when time t=0. Initial Concentration of Reactant A is denoted by A₀ symbol.

How to evaluate Initial Concentration of Reactant given Concentration of Product using this online evaluator? To use this online evaluator for Initial Concentration of Reactant given Concentration of Product, enter Concentration of B (B), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) and hit the calculate button.

FAQs on Initial Concentration of Reactant given Concentration of Product

What is the formula to find Initial Concentration of Reactant given Concentration of Product?

The formula of Initial Concentration of Reactant given Concentration of Product is expressed as Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))). Here is an example- 0.036259 = 10000*((9.74E-05+4.18E-05)/9.74E-05)*(1/(1-exp(-(9.74E-05+4.18E-05)*3600))).

How to calculate Initial Concentration of Reactant given Concentration of Product?

With Concentration of B (B), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) we can find Initial Concentration of Reactant given Concentration of Product using the formula - Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Initial Concentration of Reactant A?

Here are the different ways to Calculate Initial Concentration of Reactant A-

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

Can the Initial Concentration of Reactant given Concentration of Product be negative?

Yes, the Initial Concentration of Reactant given Concentration of Product, measured in Molar Concentration can be negative.

Which unit is used to measure Initial Concentration of Reactant given Concentration of Product?

Initial Concentration of Reactant given Concentration of Product is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Initial Concentration of Reactant given Concentration of Product can be measured.

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Initial Concentration of Reactant given Concentration of Product Formula

​GoInitial Concentration of Reactant for First Order Opposed by First Order Reaction Formula

​GoInitial Concentration of Reactant A given Initial Concentration of B greater than 0 Formula

Initial Concentration of Reactant given Concentration of Product Example

Initial Concentration of Reactant given Concentration of Product Solution

Initial Concentration of Reactant given Concentration of Product Formula Elements

Other Formulas to find Initial Concentration of Reactant A

Other formulas in First Order Opposed by First Order Reactions category

How to Evaluate Initial Concentration of Reactant given Concentration of Product?

FAQs on Initial Concentration of Reactant given Concentration of Product

Variable Name

GoInitial Concentration of Reactant for First Order Opposed by First Order Reaction Formula

GoInitial Concentration of Reactant A given Initial Concentration of B greater than 0 Formula