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

GoTime taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant Formula

GoTime taken when Initial Concentration of Reactant B greater than 0 Formula

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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. Check FAQs

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

t - Time?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?

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

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Here is how the Time taken for 1st Order Opposed by 1st Order Reaction equation looks like with Values.

Here is how the Time taken for 1st Order Opposed by 1st Order Reaction equation looks like with Units.

Here is how the Time taken for 1st Order Opposed by 1st Order Reaction equation looks like.

3584.7067 = \frac{\ln (\frac{70}{70 - 27.5})}{9.7E-5 + 4.2E-5}

3584.7067s = \frac{\ln (\frac{70mol/L}{70mol/L - 27.5mol/L})}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}

3584.7067 = \frac{\ln (\frac{70}{70 - 27.5})}{9.7E-5 + 4.2E-5}

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

Follow our step by step solution on how to calculate Time taken for 1st Order Opposed by 1st Order Reaction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{\ln (\frac{70mol/L}{70mol/L - 27.5mol/L})}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}

Next Step Convert Units

∴

t = \frac{\ln (\frac{70000mol/m³}{70000mol/m³ - 27500mol/m³})}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}

Next Step Prepare to Evaluate

∴

t = \frac{\ln (\frac{70000}{70000 - 27500})}{9.7E-5 + 4.2E-5}

Next Step Evaluate

∴

t = 3584.70665315365s

LAST Step Rounding Answer

∴

t = 3584.7067s

Time taken for 1st Order Opposed by 1st Order Reaction Formula Elements

Variables

Functions

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

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

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 Time

Go Time taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant

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

Go Time taken when Initial Concentration of Reactant B greater than 0

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

Go Time Taken for Completion of Reaction

t = (\frac{1}{k f}) \cdot (\frac{x eq}{2 \cdot A 0 - x eq}) \cdot \ln (\frac{A 0 \cdot x eq + x \cdot (A 0 - x eq)}{A 0 \cdot (x eq - x)})

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

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

Other formulas in First 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 Time taken for 1st Order Opposed by 1st Order Reaction?

Time taken for 1st Order Opposed by 1st Order Reaction evaluator uses Time = ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant) to evaluate the Time, Time taken for 1st Order Opposed by 1st Order Reaction formula is defined as the time interval required to convert a particular concentration reactant to a certain concentration of product in a First Order Opposed by First Order Reaction. Time is denoted by t symbol.

How to evaluate Time taken for 1st Order Opposed by 1st Order Reaction using this online evaluator? To use this online evaluator for Time taken for 1st Order Opposed by 1st Order Reaction, enter Concentration of Reactant at Equilibrium (x_eq), Concentration of Product at Time t (x), Forward Reaction Rate Constant (k_f) & Backward Reaction Rate Constant (k_b) and hit the calculate button.

FAQs on Time taken for 1st Order Opposed by 1st Order Reaction

What is the formula to find Time taken for 1st Order Opposed by 1st Order Reaction?

The formula of Time taken for 1st Order Opposed by 1st Order Reaction is expressed as Time = ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant). Here is an example- 3584.707 = ln(70000/(70000-27500))/(9.74E-05+4.18E-05).

How to calculate Time taken for 1st Order Opposed by 1st Order Reaction?

With Concentration of Reactant at Equilibrium (x_eq), Concentration of Product at Time t (x), Forward Reaction Rate Constant (k_f) & Backward Reaction Rate Constant (k_b) we can find Time taken for 1st Order Opposed by 1st Order Reaction using the formula - Time = ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Time?

Here are the different ways to Calculate Time-

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

Can the Time taken for 1st Order Opposed by 1st Order Reaction be negative?

Yes, the Time taken for 1st Order Opposed by 1st Order Reaction, measured in Time can be negative.

Which unit is used to measure Time taken for 1st Order Opposed by 1st Order Reaction?

Time taken for 1st Order Opposed by 1st Order Reaction is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time taken for 1st Order Opposed by 1st Order Reaction can be measured.

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

​GoTime taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant Formula

​GoTime taken when Initial Concentration of Reactant B greater than 0 Formula

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

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

Time taken for 1st Order Opposed by 1st Order Reaction Formula Elements

Other Formulas to find Time

Other formulas in First Order Opposed by First Order Reactions category

How to Evaluate Time taken for 1st Order Opposed by 1st Order Reaction?

FAQs on Time taken for 1st Order Opposed by 1st Order Reaction

Variable Name

GoTime taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant Formula

GoTime taken when Initial Concentration of Reactant B greater than 0 Formula