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Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Formula

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The Substrate Concentration is the number of moles of substrate per liter solution. Check FAQs

S = \frac{(k r + k cat) \cdot ES}{k f \cdot E}

S - Substrate Concentration?k_r - Reverse Rate Constant?k_cat - Catalytic Rate Constant?ES - Enzyme Substrate Complex Concentration?k_f - Forward Rate Constant?E - Catalyst Concentration?

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Example

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Here is how the Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants equation looks like with Values.

Here is how the Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants equation looks like with Units.

Here is how the Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants equation looks like.

1.1595 = \frac{(20 + 0.65) \cdot 10}{6.9 \cdot 25}

1.1595mol/L = \frac{(20mol/L*s + 0.65s⁻¹) \cdot 10mol/L}{6.9s⁻¹ \cdot 25mol/L}

1.1595 = \frac{(20 + 0.65) \cdot 10}{6.9 \cdot 25}

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Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Solution

Follow our step by step solution on how to calculate Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants?

FIRST Step Consider the formula

S = \frac{(k r + k cat) \cdot ES}{k f \cdot E}

Next Step Substitute values of Variables

∴

S = \frac{(20mol/L*s + 0.65s⁻¹) \cdot 10mol/L}{6.9s⁻¹ \cdot 25mol/L}

Next Step Convert Units

∴

S = \frac{(20000mol/m³*s + 0.65s⁻¹) \cdot 10000mol/m³}{6.9s⁻¹ \cdot 25000mol/m³}

Next Step Prepare to Evaluate

∴

S = \frac{(20000 + 0.65) \cdot 10000}{6.9 \cdot 25000}

Next Step Evaluate

∴

S = 1159.45797101449mol/m³

Next Step Convert to Output's Unit

∴

S = 1.15945797101449mol/L

LAST Step Rounding Answer

∴

S = 1.1595mol/L

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Formula Elements

Variables

Substrate Concentration

The Substrate Concentration is the number of moles of substrate per liter solution.

Symbol: S

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Substrate Concentration

Reverse Rate Constant

The Reverse Rate Constant is defined as the rate constant for the backward reaction.

Symbol: k_r

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Reverse Rate Constant

Catalytic Rate Constant

The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.

Symbol: k_cat

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Catalytic Rate Constant

Enzyme Substrate Complex Concentration

The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.

Symbol: ES

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Enzyme Substrate Complex Concentration

Forward Rate Constant

The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.

Symbol: k_f

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Forward Rate Constant

Catalyst Concentration

The Catalyst Concentration is the number of moles of catalyst present in the per liter of solution.

Symbol: E

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Catalyst Concentration

Other Formulas to find Substrate Concentration

Go Substrate Concentration if Michaelis Constant is very Large than Substrate Concentration

S = \frac{V 0 \cdot K M}{k cat \cdot [E 0]}

Go Substrate Concentration given Maximum Rate at Low Concentration

S = \frac{V 0 \cdot K M}{V max}

Go Substrate Concentration in Enzymatic Reaction Mechanism

S = \frac{k r \cdot ES}{k f \cdot ([E 0] - ES)}

Go Substrate Concentration given Dissociation Rate Constant

S = \frac{K D \cdot ES}{[E 0] - ES}

Other formulas in Complex Concentration category

Go Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration

S o = \frac{K M \cdot V 0}{(k cat \cdot [E 0]) - V 0}

Go Initial Enzyme Concentration at Low Substrate Concentration

[E 0] = \frac{V 0 \cdot K M}{k cat \cdot S}

Go Enzyme Substrate Complex Concentration in Instantaneous Chemical Equilibrium

ES = \frac{k f \cdot [E 0] \cdot S}{k r + (k f \cdot S)}

Go Initial Enzyme Concentration in Enzymatic Reaction Mechanism

[E 0] = (\frac{k r \cdot ES}{k f \cdot S}) + ES

How to Evaluate Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants?

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants evaluator uses Substrate Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Catalyst Concentration) to evaluate the Substrate Concentration, The Substrate concentration given forward, reverse, and catalytic rate constants formula is defined as the relation with enzymatic catalyst concentration and with an enzyme-substrate complex concentration in an enzymatic reaction mechanism. Substrate Concentration is denoted by S symbol.

How to evaluate Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants using this online evaluator? To use this online evaluator for Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants, enter Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat), Enzyme Substrate Complex Concentration (ES), Forward Rate Constant (k_f) & Catalyst Concentration (E) and hit the calculate button.

FAQs on Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants

What is the formula to find Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants?

The formula of Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants is expressed as Substrate Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Catalyst Concentration). Here is an example- 0.001159 = ((20000+0.65)*10000)/(6.9*25000).

How to calculate Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants?

With Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat), Enzyme Substrate Complex Concentration (ES), Forward Rate Constant (k_f) & Catalyst Concentration (E) we can find Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants using the formula - Substrate Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Catalyst Concentration).

What are the other ways to Calculate Substrate Concentration?

Here are the different ways to Calculate Substrate Concentration-

Substrate Concentration=(Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Initial Enzyme Concentration)
Substrate Concentration=(Initial Reaction Rate*Michaelis Constant)/Maximum Rate
Substrate Concentration=(Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))

Can the Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants be negative?

Yes, the Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants, measured in Molar Concentration can be negative.

Which unit is used to measure Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants?

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants 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 Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants can be measured.

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Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Formula

​GoSubstrate Concentration if Michaelis Constant is very Large than Substrate Concentration Formula

​GoSubstrate Concentration given Maximum Rate at Low Concentration Formula

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Example

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Solution

Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants Formula Elements

Other Formulas to find Substrate Concentration

Other formulas in Complex Concentration category

How to Evaluate Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants?

FAQs on Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants

Variable Name

GoSubstrate Concentration if Michaelis Constant is very Large than Substrate Concentration Formula

GoSubstrate Concentration given Maximum Rate at Low Concentration Formula