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Time taken for Isotope Exchange Reaction Formula

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Time taken for Isotope Exchange Reaction is the amount of time required for the isotope exchange reaction to reach completion. Check FAQs

t = - \ln (1 - \frac{x}{x ∞}) \cdot \frac{1}{R} \cdot (\frac{a \cdot b}{a + b})

t - Time taken for Isotope Exchange Reaction?x - Amount of Active Species?x_∞ - Final Amount of Active Species After Equilibrium?R - Universal Gas Constant?a - Total Amount of Species AX?b - Total Amount of Species BX?

Time taken for Isotope Exchange Reaction Example

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Here is how the Time taken for Isotope Exchange Reaction equation looks like with Values.

Here is how the Time taken for Isotope Exchange Reaction equation looks like with Units.

Here is how the Time taken for Isotope Exchange Reaction equation looks like.

229.8221 = - \ln (1 - \frac{0.65}{0.786}) \cdot \frac{1}{8.314} \cdot (\frac{2.24 \cdot 2.12}{2.24 + 2.12})

229.8221s = - \ln (1 - \frac{0.65mol/L}{0.786mol/L}) \cdot \frac{1}{8.314} \cdot (\frac{2.24mol/L \cdot 2.12mol/L}{2.24mol/L + 2.12mol/L})

229.8221 = - \ln (1 - \frac{0.65}{0.786}) \cdot \frac{1}{8.314} \cdot (\frac{2.24 \cdot 2.12}{2.24 + 2.12})

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Time taken for Isotope Exchange Reaction Solution

Follow our step by step solution on how to calculate Time taken for Isotope Exchange Reaction?

FIRST Step Consider the formula

t = - \ln (1 - \frac{x}{x ∞}) \cdot \frac{1}{R} \cdot (\frac{a \cdot b}{a + b})

Next Step Substitute values of Variables

∴

t = - \ln (1 - \frac{0.65mol/L}{0.786mol/L}) \cdot \frac{1}{8.314} \cdot (\frac{2.24mol/L \cdot 2.12mol/L}{2.24mol/L + 2.12mol/L})

Next Step Convert Units

∴

t = - \ln (1 - \frac{650mol/m³}{786mol/m³}) \cdot \frac{1}{8.314} \cdot (\frac{2240mol/m³ \cdot 2120mol/m³}{2240mol/m³ + 2120mol/m³})

Next Step Prepare to Evaluate

∴

t = - \ln (1 - \frac{650}{786}) \cdot \frac{1}{8.314} \cdot (\frac{2240 \cdot 2120}{2240 + 2120})

Next Step Evaluate

∴

t = 229.822055825601s

LAST Step Rounding Answer

∴

t = 229.8221s

Time taken for Isotope Exchange Reaction Formula Elements

Variables

Functions

Time taken for Isotope Exchange Reaction

Time taken for Isotope Exchange Reaction is the amount of time required for the isotope exchange reaction to reach completion.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time taken for Isotope Exchange Reaction

Amount of Active Species

Amount of Active Species is the total amount of the radio labelled species, say, [A*X] present in reaction.

Symbol: x

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Amount of Active Species

Final Amount of Active Species After Equilibrium

Final Amount of Active Species After Equilibrium is the amount of the active species, say, [A*X] left after equilibrium point has reached.

Symbol: x_∞

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Final Amount of Active Species After Equilibrium

Universal Gas Constant

Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Universal Gas Constant

Total Amount of Species AX

Total Amount of Species AX is the sum of the radioactive nature of AX and the inactive nature of species AX.

Symbol: a

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Total Amount of Species AX

Total Amount of Species BX

Total Amount of Species BX is the sum of the radio-labelled portion of BX and the inactive portion of BX.

Symbol: b

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Total Amount of Species BX

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 in Nuclear Chemistry category

Go Binding Energy Per Nucleon

B.E per nucleon = \frac{∆m \cdot 931.5}{A}

Go Mean Life Time

ζ = 1.446 \cdot T 1/2

Go Packing Fraction

PF = \frac{∆m}{A}

Go Packing Fraction (In Isotopic mass)

PF isotope = \frac{(A isotope - A) \cdot (10^{4})}{A}

How to Evaluate Time taken for Isotope Exchange Reaction?

Time taken for Isotope Exchange Reaction evaluator uses Time taken for Isotope Exchange Reaction = -ln(1-Amount of Active Species/Final Amount of Active Species After Equilibrium)*1/Universal Gas Constant*((Total Amount of Species AX*Total Amount of Species BX)/(Total Amount of Species AX+Total Amount of Species BX)) to evaluate the Time taken for Isotope Exchange Reaction, The Time taken for Isotope Exchange Reaction formula is defined as the amount of time required for the completion of the isotope exchange reaction. Time taken for Isotope Exchange Reaction is denoted by t symbol.

How to evaluate Time taken for Isotope Exchange Reaction using this online evaluator? To use this online evaluator for Time taken for Isotope Exchange Reaction, enter Amount of Active Species (x), Final Amount of Active Species After Equilibrium (x_∞), Universal Gas Constant (R), Total Amount of Species AX (a) & Total Amount of Species BX (b) and hit the calculate button.

FAQs on Time taken for Isotope Exchange Reaction

What is the formula to find Time taken for Isotope Exchange Reaction?

The formula of Time taken for Isotope Exchange Reaction is expressed as Time taken for Isotope Exchange Reaction = -ln(1-Amount of Active Species/Final Amount of Active Species After Equilibrium)*1/Universal Gas Constant*((Total Amount of Species AX*Total Amount of Species BX)/(Total Amount of Species AX+Total Amount of Species BX)). Here is an example- 229.8221 = -ln(1-650/786)*1/8.314*((2240*2120)/(2240+2120)).

How to calculate Time taken for Isotope Exchange Reaction?

With Amount of Active Species (x), Final Amount of Active Species After Equilibrium (x_∞), Universal Gas Constant (R), Total Amount of Species AX (a) & Total Amount of Species BX (b) we can find Time taken for Isotope Exchange Reaction using the formula - Time taken for Isotope Exchange Reaction = -ln(1-Amount of Active Species/Final Amount of Active Species After Equilibrium)*1/Universal Gas Constant*((Total Amount of Species AX*Total Amount of Species BX)/(Total Amount of Species AX+Total Amount of Species BX)). This formula also uses Natural Logarithm (ln) function(s).

Can the Time taken for Isotope Exchange Reaction be negative?

Yes, the Time taken for Isotope Exchange Reaction, measured in Time can be negative.

Which unit is used to measure Time taken for Isotope Exchange Reaction?

Time taken for Isotope Exchange 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 Isotope Exchange Reaction can be measured.

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Time taken for Isotope Exchange Reaction Formula

Time taken for Isotope Exchange Reaction Example

Time taken for Isotope Exchange Reaction Solution

Time taken for Isotope Exchange Reaction Formula Elements

Other formulas in Nuclear Chemistry category

How to Evaluate Time taken for Isotope Exchange Reaction?

FAQs on Time taken for Isotope Exchange Reaction

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