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Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Formula

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

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

S_o - Concentration of Substrate?K_M - Michaelis Constant?V₀ - Initial Reaction Rate?k_cat - Catalytic Rate Constant?[E₀] - Initial Enzyme Concentration?

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Example

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Here is how the Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like with Values.

Here is how the Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like with Units.

Here is how the Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like.

0.0209 = \frac{3 \cdot 0.45}{(0.65 \cdot 100) - 0.45}

0.0209mol/L = \frac{3mol/L \cdot 0.45mol/L*s}{(0.65s⁻¹ \cdot 100mol/L) - 0.45mol/L*s}

0.0209 = \frac{3 \cdot 0.45}{(0.65 \cdot 100) - 0.45}

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Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Solution

Follow our step by step solution on how to calculate Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S o = \frac{3mol/L \cdot 0.45mol/L*s}{(0.65s⁻¹ \cdot 100mol/L) - 0.45mol/L*s}

Next Step Convert Units

∴

S o = \frac{3000mol/m³ \cdot 450mol/m³*s}{(0.65s⁻¹ \cdot 100000mol/m³) - 450mol/m³*s}

Next Step Prepare to Evaluate

∴

S o = \frac{3000 \cdot 450}{(0.65 \cdot 100000) - 450}

Next Step Evaluate

∴

S o = 20.9140201394268mol/m³

Next Step Convert to Output's Unit

∴

S o = 0.0209140201394268mol/L

LAST Step Rounding Answer

∴

S o = 0.0209mol/L

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Formula Elements

Variables

Concentration of Substrate

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

Symbol: S_o

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Concentration of Substrate

Michaelis Constant

The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.

Symbol: K_M

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Michaelis Constant

Initial Reaction Rate

The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.

Symbol: V₀

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Initial Reaction Rate

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

Initial Enzyme Concentration

The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.

Symbol: [E₀]

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Enzyme Concentration

Other formulas in Complex Concentration category

Go Modifying Factor of Enzyme Substrate Complex

α' = 1 + (\frac{I}{K i'})

Go Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration

V RC = k 2 \cdot ES

Go Initial Reaction Rate given Dissociation Rate Constant

V DRC = \frac{V max \cdot S}{K D + S}

Go Maximum Rate given Dissociation Rate Constant

V max_DRC = \frac{V 0 \cdot (K D + S)}{S}

How to Evaluate Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration evaluator uses Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate) to evaluate the Concentration of Substrate, The Substrate concentration given catalytic rate constant and initial enzyme concentration formula is defined as the relation with initial reaction rate and initial enzyme concentration. Concentration of Substrate is denoted by S_o symbol.

How to evaluate Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration using this online evaluator? To use this online evaluator for Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration, enter Michaelis Constant (K_M), Initial Reaction Rate (V₀), Catalytic Rate Constant (k_cat) & Initial Enzyme Concentration ([E₀]) and hit the calculate button.

FAQs on Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration

What is the formula to find Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

The formula of Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration is expressed as Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate). Here is an example- 2.1E-5 = (3000*450)/((0.65*100000)-450).

How to calculate Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

With Michaelis Constant (K_M), Initial Reaction Rate (V₀), Catalytic Rate Constant (k_cat) & Initial Enzyme Concentration ([E₀]) we can find Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration using the formula - Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate).

Can the Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration be negative?

Yes, the Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration, measured in Molar Concentration can be negative.

Which unit is used to measure Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration 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 Catalytic Rate Constant and Initial Enzyme Concentration can be measured.

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Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Formula

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Example

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Solution

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Formula Elements

Other formulas in Complex Concentration category

How to Evaluate Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

FAQs on Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration

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