FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Product Concentration given Initial Concentration of Reactant Formula

Fx Copy

LaTeX Copy

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

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

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

Product Concentration given Initial Concentration of Reactant Example

With values

With units

Only example

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

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

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

27.5791 = (\frac{100 \cdot 9.7E-5}{9.7E-5 + 4.2E-5}) \cdot (1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600))

27.5791mol/L = (\frac{100mol/L \cdot 9.7E-5s⁻¹}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}) \cdot (1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s))

27.5791 = (\frac{100 \cdot 9.7E-5}{9.7E-5 + 4.2E-5}) \cdot (1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Chemical Kinetics » Category

Complex Reactions » fx Product Concentration given Initial Concentration of Reactant

Product Concentration given Initial Concentration of Reactant Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = (\frac{100mol/L \cdot 9.7E-5s⁻¹}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}) \cdot (1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s))

Next Step Convert Units

∴

B = (\frac{100000mol/m³ \cdot 9.7E-5s⁻¹}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}) \cdot (1 - \exp (- (9.7E-5s⁻¹ + 4.2E-5s⁻¹) \cdot 3600s))

Next Step Prepare to Evaluate

∴

B = (\frac{100000 \cdot 9.7E-5}{9.7E-5 + 4.2E-5}) \cdot (1 - \exp (- (9.7E-5 + 4.2E-5) \cdot 3600))

Next Step Evaluate

∴

B = 27579.0531048161mol/m³

Next Step Convert to Output's Unit

∴

B = 27.5790531048161mol/L

LAST Step Rounding Answer

∴

B = 27.5791mol/L

Product Concentration given Initial Concentration of Reactant Formula Elements

Variables

Functions

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

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

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 Product Concentration given Initial Concentration of Reactant?

Product Concentration given Initial Concentration of Reactant evaluator uses Concentration of B = ((Initial Concentration of Reactant A*Forward Reaction Rate Constant)/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)) to evaluate the Concentration of B, The Product Concentration given Initial Concentration of Reactant formula is defined as the concentration of product formed at the time t. Concentration of B is denoted by B symbol.

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

FAQs on Product Concentration given Initial Concentration of Reactant

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

The formula of Product Concentration given Initial Concentration of Reactant is expressed as Concentration of B = ((Initial Concentration of Reactant A*Forward Reaction Rate Constant)/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)). Here is an example- 0.027579 = ((100000*9.74E-05)/(9.74E-05+4.18E-05))*(1-exp(-(9.74E-05+4.18E-05)*3600)).

How to calculate Product Concentration given Initial Concentration of Reactant?

With Initial Concentration of Reactant A (A₀), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) we can find Product Concentration given Initial Concentration of Reactant using the formula - Concentration of B = ((Initial Concentration of Reactant A*Forward Reaction Rate Constant)/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)). This formula also uses Exponential Growth (exp) function(s).

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

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

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

Product Concentration given Initial Concentration of Reactant 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 Product Concentration given Initial Concentration of Reactant can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Product Concentration given Initial Concentration of Reactant Formula

Product Concentration given Initial Concentration of Reactant Example

Product Concentration given Initial Concentration of Reactant Solution

Product Concentration given Initial Concentration of Reactant Formula Elements

Other formulas in First Order Opposed by First Order Reactions category

How to Evaluate Product Concentration given Initial Concentration of Reactant?

FAQs on Product Concentration given Initial Concentration of Reactant

Variable Name