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

GoInitial Concentration of Reactant given Concentration of Product 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 = (\frac{1}{t \cdot k f}) \cdot x eq \cdot \ln (\frac{x eq}{x eq - x})

A₀ - Initial Concentration of Reactant A?t - Time?k_f - Forward Reaction Rate Constant?x_eq - Concentration of Reactant at Equilibrium?x - Concentration of Product at Time t?

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

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Here is how the Initial Concentration of Reactant for First Order Opposed by First Order Reaction equation looks like with Values.

Here is how the Initial Concentration of Reactant for First Order Opposed by First Order Reaction equation looks like with Units.

Here is how the Initial Concentration of Reactant for First Order Opposed by First Order Reaction equation looks like.

99.6161 = (\frac{1}{3600 \cdot 9.7E-5}) \cdot 70 \cdot \ln (\frac{70}{70 - 27.5})

99.6161mol/L = (\frac{1}{3600s \cdot 9.7E-5s⁻¹}) \cdot 70mol/L \cdot \ln (\frac{70mol/L}{70mol/L - 27.5mol/L})

99.6161 = (\frac{1}{3600 \cdot 9.7E-5}) \cdot 70 \cdot \ln (\frac{70}{70 - 27.5})

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

Follow our step by step solution on how to calculate Initial Concentration of Reactant for First Order Opposed by First Order Reaction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A 0 = (\frac{1}{3600s \cdot 9.7E-5s⁻¹}) \cdot 70mol/L \cdot \ln (\frac{70mol/L}{70mol/L - 27.5mol/L})

Next Step Convert Units

∴

A 0 = (\frac{1}{3600s \cdot 9.7E-5s⁻¹}) \cdot 70000mol/m³ \cdot \ln (\frac{70000mol/m³}{70000mol/m³ - 27500mol/m³})

Next Step Prepare to Evaluate

∴

A 0 = (\frac{1}{3600 \cdot 9.7E-5}) \cdot 70000 \cdot \ln (\frac{70000}{70000 - 27500})

Next Step Evaluate

∴

A 0 = 99616.0781095401mol/m³

Next Step Convert to Output's Unit

∴

A 0 = 99.6160781095401mol/L

LAST Step Rounding Answer

∴

A 0 = 99.6161mol/L

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

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

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

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

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 to find Initial Concentration of Reactant A

Go Initial Concentration of Reactant given Concentration of Product

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

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 for First Order Opposed by First Order Reaction?

Initial Concentration of Reactant for First Order Opposed by First Order Reaction evaluator uses 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)) to evaluate the Initial Concentration of Reactant A, The Initial Concentration of Reactant for First Order Opposed by First Order Reaction 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 for First Order Opposed by First Order Reaction using this online evaluator? To use this online evaluator for Initial Concentration of Reactant for First Order Opposed by First Order Reaction, enter Time (t), Forward Reaction Rate Constant (k_f), Concentration of Reactant at Equilibrium (x_eq) & Concentration of Product at Time t (x) and hit the calculate button.

FAQs on Initial Concentration of Reactant for First Order Opposed by First Order Reaction

What is the formula to find Initial Concentration of Reactant for First Order Opposed by First Order Reaction?

The formula of Initial Concentration of Reactant for First Order Opposed by First Order Reaction is expressed as 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)). Here is an example- 0.067172 = (1/(3600*9.74E-05))*70000*ln(70000/(70000-27500)).

How to calculate Initial Concentration of Reactant for First Order Opposed by First Order Reaction?

With Time (t), Forward Reaction Rate Constant (k_f), Concentration of Reactant at Equilibrium (x_eq) & Concentration of Product at Time t (x) we can find Initial Concentration of Reactant for First Order Opposed by First Order Reaction using the formula - 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)). This formula also uses Natural Logarithm (ln) 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=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)))
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 for First Order Opposed by First Order Reaction be negative?

Yes, the Initial Concentration of Reactant for First Order Opposed by First Order Reaction, measured in Molar Concentration can be negative.

Which unit is used to measure Initial Concentration of Reactant for First Order Opposed by First Order Reaction?

Initial Concentration of Reactant for First Order Opposed by First Order Reaction 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 for First Order Opposed by First Order Reaction can be measured.

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

​GoInitial Concentration of Reactant given Concentration of Product Formula

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

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

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

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

FAQs on Initial Concentration of Reactant for First Order Opposed by First Order Reaction

Variable Name

GoInitial Concentration of Reactant given Concentration of Product Formula

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