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

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Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition. Check FAQs

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

x_eq - Concentration of Reactant at Equilibrium?x - Concentration of Product at Time t?k_f - Forward Reaction Rate Constant?k_b - Backward Reaction Rate Constant?t - Time?

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

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Here is how the Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t equation looks like with Values.

Here is how the Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t equation looks like with Units.

Here is how the Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t equation looks like.

69.7707 = \frac{27.5}{1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600)}

69.7707mol/L = \frac{27.5mol/L}{1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s)}

69.7707 = \frac{27.5}{1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600)}

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

Follow our step by step solution on how to calculate Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x eq = \frac{27.5mol/L}{1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s)}

Next Step Convert Units

∴

x eq = \frac{27500mol/m³}{1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s)}

Next Step Prepare to Evaluate

∴

x eq = \frac{27500}{1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600)}

Next Step Evaluate

∴

x eq = 69770.6974493232mol/m³

Next Step Convert to Output's Unit

∴

x eq = 69.7706974493232mol/L

LAST Step Rounding Answer

∴

x eq = 69.7707mol/L

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

Variables

Functions

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

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

Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t evaluator uses Concentration of Reactant at Equilibrium = Concentration of Product at Time t/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)) to evaluate the Concentration of Reactant at Equilibrium, The Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t formula is defined as the concentration of the reactant which does not change with respect to time, i.e. it is at a state of chemical equilibrium. At this state, the rate of the forward reaction is equal to the rate of backward reaction. Concentration of Reactant at Equilibrium is denoted by x_eq symbol.

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

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

What is the formula to find Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

The formula of Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t is expressed as Concentration of Reactant at Equilibrium = Concentration of Product at Time t/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)). Here is an example- 0.050742 = 27500/(1-exp(-(9.74E-05+4.18E-05)*3600)).

How to calculate Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

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

Can the Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t be negative?

Yes, the Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t, measured in Molar Concentration can be negative.

Which unit is used to measure Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t 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 Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t can be measured.

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

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

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

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

Other formulas in First Order Opposed by First Order Reactions category

How to Evaluate Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

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

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