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Time Taken for Completion of Reaction Formula

GoTime 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

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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{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)})

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

Time Taken for Completion of Reaction Example

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Here is how the Time Taken for Completion of Reaction equation looks like with Values.

Here is how the Time Taken for Completion of Reaction equation looks like with Units.

Here is how the Time Taken for Completion of Reaction equation looks like.

3374.5327 = (\frac{1}{9.7E-5}) \cdot (\frac{70}{2 \cdot 100 - 70}) \cdot \ln (\frac{100 \cdot 70 + 27.5 \cdot (100 - 70)}{100 \cdot (70 - 27.5)})

3374.5327s = (\frac{1}{9.7E-5s⁻¹}) \cdot (\frac{70mol/L}{2 \cdot 100mol/L - 70mol/L}) \cdot \ln (\frac{100mol/L \cdot 70mol/L + 27.5mol/L \cdot (100mol/L - 70mol/L)}{100mol/L \cdot (70mol/L - 27.5mol/L)})

3374.5327 = (\frac{1}{9.7E-5}) \cdot (\frac{70}{2 \cdot 100 - 70}) \cdot \ln (\frac{100 \cdot 70 + 27.5 \cdot (100 - 70)}{100 \cdot (70 - 27.5)})

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Time Taken for Completion of Reaction Solution

Follow our step by step solution on how to calculate Time Taken for Completion of Reaction?

FIRST Step Consider the formula

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)})

Next Step Substitute values of Variables

∴

t = (\frac{1}{9.7E-5s⁻¹}) \cdot (\frac{70mol/L}{2 \cdot 100mol/L - 70mol/L}) \cdot \ln (\frac{100mol/L \cdot 70mol/L + 27.5mol/L \cdot (100mol/L - 70mol/L)}{100mol/L \cdot (70mol/L - 27.5mol/L)})

Next Step Convert Units

∴

t = (\frac{1}{9.7E-5s⁻¹}) \cdot (\frac{70000mol/m³}{2 \cdot 100000mol/m³ - 70000mol/m³}) \cdot \ln (\frac{100000mol/m³ \cdot 70000mol/m³ + 27500mol/m³ \cdot (100000mol/m³ - 70000mol/m³)}{100000mol/m³ \cdot (70000mol/m³ - 27500mol/m³)})

Next Step Prepare to Evaluate

∴

t = (\frac{1}{9.7E-5}) \cdot (\frac{70000}{2 \cdot 100000 - 70000}) \cdot \ln (\frac{100000 \cdot 70000 + 27500 \cdot (100000 - 70000)}{100000 \cdot (70000 - 27500)})

Next Step Evaluate

∴

t = 3374.53267606163s

LAST Step Rounding Answer

∴

t = 3374.5327s

Time Taken for Completion of 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

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

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 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 Time

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 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 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 Second 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 Completion of Reaction?

Time Taken for Completion of Reaction evaluator uses 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))) to evaluate the Time, The Time Taken for Completion of 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 Second Order Reaction. Time is denoted by t symbol.

How to evaluate Time Taken for Completion of Reaction using this online evaluator? To use this online evaluator for Time Taken for Completion of Reaction, enter Forward Reaction Rate Constant (k_f), Concentration of Reactant at Equilibrium (x_eq), Initial Concentration of Reactant A (A₀) & Concentration of Product at Time t (x) and hit the calculate button.

FAQs on Time Taken for Completion of Reaction

What is the formula to find Time Taken for Completion of Reaction?

The formula of Time Taken for Completion of Reaction is expressed as 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))). Here is an example- 2314.778 = (1/9.74E-05)*(70000/(2*100000-70000))*ln((100000*70000+27500*(100000-70000))/(100000*(70000-27500))).

How to calculate Time Taken for Completion of Reaction?

With Forward Reaction Rate Constant (k_f), Concentration of Reactant at Equilibrium (x_eq), Initial Concentration of Reactant A (A₀) & Concentration of Product at Time t (x) we can find Time Taken for Completion of Reaction using the formula - 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))). 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=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)
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))

Can the Time Taken for Completion of Reaction be negative?

Yes, the Time Taken for Completion of Reaction, measured in Time can be negative.

Which unit is used to measure Time Taken for Completion of Reaction?

Time Taken for Completion of 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 Completion of Reaction can be measured.

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Time Taken for Completion of Reaction Formula

​GoTime 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

Time Taken for Completion of Reaction Example

Time Taken for Completion of Reaction Solution

Time Taken for Completion of Reaction Formula Elements

Other Formulas to find Time

Other formulas in First Order Opposed by Second Order Reactions category

How to Evaluate Time Taken for Completion of Reaction?

FAQs on Time Taken for Completion of Reaction

Variable Name

GoTime 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