Time taken for Isotope Exchange Reaction Calculator

✖Amount of Active Species is the total amount of the radio labelled species, say, [A*X] present in reaction.ⓘ Amount of Active Species [x]			+10% -10%
✖Final Amount of Active Species After Equilibrium is the amount of the active species, say, [A*X] left after equilibrium point has reached.ⓘ Final Amount of Active Species After Equilibrium [x_∞]			+10% -10%
✖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 joulekelvin−1mole−1.ⓘ Universal Gas Constant [R]			+10% -10%
✖Total Amount of Species AX is the sum of the radioactive nature of AX and the inactive nature of species AX.ⓘ Total Amount of Species AX [a]			+10% -10%
✖Total Amount of Species BX is the sum of the radio-labelled portion of BX and the inactive portion of BX.ⓘ Total Amount of Species BX [b]			+10% -10%

✖Time taken for Isotope Exchange Reaction is the amount of time required for the isotope exchange reaction to reach completion.ⓘ Time taken for Isotope Exchange Reaction [t]

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Formula

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Time taken for Isotope Exchange Reaction

Formula

`"t" = -ln(1-"x"/"x"_{"∞"})*1/"R"*(("a"*"b")/("a"+"b"))`

Example

`"229.8221s"=-ln(1-"0.65mol/L"/"0.786mol/L")*1/"8.314"*(("2.24mol/L"*"2.12mol/L")/("2.24mol/L"+"2.12mol/L"))`

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Time taken for Isotope Exchange Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
t = -ln(1-x/x_∞)*1/R*((a*b)/(a+b))
This formula uses 1 Functions, 6 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Time taken for Isotope Exchange Reaction - (Measured in Second) - Time taken for Isotope Exchange Reaction is the amount of time required for the isotope exchange reaction to reach completion.
Amount of Active Species - (Measured in Mole per Cubic Meter) - Amount of Active Species is the total amount of the radio labelled species, say, [A*X] present in reaction.
Final Amount of Active Species After Equilibrium - (Measured in Mole per Cubic Meter) - Final Amount of Active Species After Equilibrium is the amount of the active species, say, [A*X] left after equilibrium point has reached.
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.
Total Amount of Species AX - (Measured in Mole per Cubic Meter) - Total Amount of Species AX is the sum of the radioactive nature of AX and the inactive nature of species AX.
Total Amount of Species BX - (Measured in Mole per Cubic Meter) - Total Amount of Species BX is the sum of the radio-labelled portion of BX and the inactive portion of BX.

STEP 1: Convert Input(s) to Base Unit

Amount of Active Species: 0.65 Mole per Liter --> 650 Mole per Cubic Meter (Check conversion here)
Final Amount of Active Species After Equilibrium: 0.786 Mole per Liter --> 786 Mole per Cubic Meter (Check conversion here)
Universal Gas Constant: 8.314 --> No Conversion Required
Total Amount of Species AX: 2.24 Mole per Liter --> 2240 Mole per Cubic Meter (Check conversion here)
Total Amount of Species BX: 2.12 Mole per Liter --> 2120 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = -ln(1-x/x_∞)*1/R*((a*b)/(a+b)) --> -ln(1-650/786)*1/8.314*((2240*2120)/(2240+2120))

Evaluating ... ...

t = 229.822055825601

STEP 3: Convert Result to Output's Unit

229.822055825601 Second --> No Conversion Required

FINAL ANSWER

229.822055825601 ≈ 229.8221 Second <-- Time taken for Isotope Exchange Reaction

(Calculation completed in 00.004 seconds)

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< 25 Nuclear Chemistry Calculators

Direct Isotope Dilution Analysis (DIDA)

Go Unknown Amount of Compound present in Sample = Labelled Compound present in Sample*((Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound)/Specific Activity of Mixed Compound)

Inverse Isotope Dilution Analysis (IIDA)

Go Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound))

Sub-Stoichiometric Isotope Dilution Analysis (SSIA)

Go Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution)

Age of Minerals and Rocks

Go Age of Mineral and Rocks = Total Number of Radiogenic Lead Atom/((1.54*(10^(-10))*Number of U-238 present in Mineral/Rock Sample)+(4.99*(10^(-11))*Number of Th-232 present in Mineral/Rock Sample))

Age of Plant or Animal

Go Age of Plant or Animal = (2.303/Disintegration Constant of 14C)*(log10(Activity of 14C in Original Animals or Plants/Activity of 14C in Old Wood or Animal Fossil))

Age of Minerals and Rocks containing Pure Thorium and Pb-208

Go Age of Mineral and Rocks for Pure Th/Pb-208 system = 46.2*(10^9)*log10(1+(1.116*Number of Pb-208 present in Mineral/Rock Sample)/Number of Th-232 present in Mineral/Rock Sample)

Age of Minerals and Rocks containing Pure Uranium and Pb-206

Go Age of Mineral and Rocks for Pure U/Pb-206 system = 15.15*(10^9)*log10(1+(1.158*Number of Pb-206 present in Mineral/Rock Sample)/Number of U-238 present in Mineral/Rock Sample)

Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method

Go Time taken = 1/Decay Constant for Rb-87 to Sr-87*((Ratio of Sr-87/Sr-86 at Time t-Initial Ratio of Sr-87/Sr-86)/Ratio of Rb-87/Sr-86 at Time t)

Threshold Kinetic Energy of Nuclear Reaction

Go Threshold Kinetic Energy of Nuclear Reaction = -(1+(Mass of Projectile Nuclei/Mass of Target Nuclei))*Reaction Energy

Neutron Activation Analysis (NAA)

Go Weight of Particular Element = Atomic Weight of Element/[Avaga-no]*Specific Activity at Time t

Amount of Substance left after n Half Lives

Go Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance

Packing Fraction (In Isotopic mass)

Go Packing Fraction in Isotopic mass = ((Atomic Isotopic Mass-Mass Number)*(10^4))/Mass Number

Specific Activity using Half Life

Go Specific Activity = (0.693*[Avaga-no])/(Radioactive Half Life*Atomic Weight of Nuclide)

Specific Activity of Isotope

Go Specific Activity = (Activity*[Avaga-no])/Atomic Weight of Nuclide

Q-value of Nuclear Reaction

Go Q Value of Nuclear Reaction = (Mass of Product-Mass of Reactant)*931.5*10^6

Amount of Substance Left after Three Half Lives

Go Amount of Substance Left After Three Half Lives = Initial Concentration of Radioactive Substance/8

Amount of Substance Left after Two Half Lives

Go Amount of Substance Left After Two Half Lives = (Initial Concentration of Radioactive Substance/4)

Molar Activity using Half Life

Go Molar Activity = (0.693*[Avaga-no])/(Radioactive Half Life)

Binding Energy Per Nucleon

Go Binding Energy per Nucleon = (Mass Defect*931.5)/Mass Number

Number of Half Lives

Go Number of Half Lives = Total Time/Half Life

Packing Fraction

Go Packing Fraction = Mass Defect/Mass Number

Molar Activity of Compound

Go Molar Activity = Activity*[Avaga-no]

Radius of Nuclei

Go Radius of Nuclei = (1.2*(10^-15))*((Mass Number)^(1/3))

Radioactive Half Life

Go Radioactive Half Life = 0.693*Mean Life Time

Mean Life Time

Go Mean Life Time = 1.446*Radioactive Half Life

Time taken for Isotope Exchange Reaction Formula

What is Isotope Exchange Reaction?

Isotope exchange reactions are reversible chemical processes in which two isotopes X and X* of the same element exchange places. No net chemical change takes place in these reactions, but only interchange of the isotopic label occurs. The large majority of exchange reactions studied are those between organic compounds and water. These reactions significantly provide a great deal of information on the mechanisms of the reaction of organic compounds.

How to Calculate Time taken for Isotope Exchange Reaction?

Time taken for Isotope Exchange Reaction calculator 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 calculate 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 calculate Time taken for Isotope Exchange Reaction using this online calculator? To use this online calculator 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. Here is how the Time taken for Isotope Exchange Reaction calculation can be explained with given input values -> 229.8221 = -ln(1-650/786)*1/8.314*((2240*2120)/(2240+2120)).

FAQ

What is 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 and is represented as t = -ln(1-x/x_∞)*1/R*((a*b)/(a+b)) or 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)). Amount of Active Species is the total amount of the radio labelled species, say, [A*X] present in reaction, Final Amount of Active Species After Equilibrium is the amount of the active species, say, [A*X] left after equilibrium point has reached, 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, Total Amount of Species AX is the sum of the radioactive nature of AX and the inactive nature of species AX & Total Amount of Species BX is the sum of the radio-labelled portion of BX and the inactive portion of BX.

How to calculate 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 is calculated using 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 calculate Time taken for Isotope Exchange Reaction, you need 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). With our tool, you need to enter the respective value for Amount of Active Species, Final Amount of Active Species After Equilibrium, Universal Gas Constant, Total Amount of Species AX & Total Amount of Species BX and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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