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Specific Activity using Half Life Formula

GoSpecific Activity of Isotope Formula

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Specific Activity is defined as the concentration of the radioactivity or the relationship between the mass of radioactive material and the activity. Check FAQs

A s = \frac{0.693 \cdot [Avaga-no]}{T 1/2 \cdot M}

A_s - Specific Activity?T_1/2 - Radioactive Half Life?M - Atomic Weight of Nuclide?[Avaga-no] - Avogadro’s number?

Specific Activity using Half Life Example

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Here is how the Specific Activity using Half Life equation looks like with Values.

Here is how the Specific Activity using Half Life equation looks like with Units.

Here is how the Specific Activity using Half Life equation looks like.

3.2E+41 = \frac{0.693 \cdot 6E+23}{0.0002 \cdot 125}

3.2E+41Bq/g = \frac{0.693 \cdot 6E+23}{0.0002Year \cdot 125u}

3.2E+41 = \frac{0.693 \cdot 6E+23}{0.0002 \cdot 125}

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Specific Activity using Half Life Solution

Follow our step by step solution on how to calculate Specific Activity using Half Life?

FIRST Step Consider the formula

A s = \frac{0.693 \cdot [Avaga-no]}{T 1/2 \cdot M}

Next Step Substitute values of Variables

∴

A s = \frac{0.693 \cdot [Avaga-no]}{0.0002Year \cdot 125u}

Next Step Substitute values of Constants

∴

A s = \frac{0.693 \cdot 6E+23}{0.0002Year \cdot 125u}

Next Step Convert Units

∴

A s = \frac{0.693 \cdot 6E+23}{6311.3904s \cdot 2.1E-25kg}

Next Step Prepare to Evaluate

∴

A s = \frac{0.693 \cdot 6E+23}{6311.3904 \cdot 2.1E-25}

Next Step Evaluate

∴

A s = 3.18566192700435E+44Bq/kg

Next Step Convert to Output's Unit

∴

A s = 3.18566192700435E+41Bq/g

LAST Step Rounding Answer

∴

A s = 3.2E+41Bq/g

Specific Activity using Half Life Formula Elements

Variables

Constants

Specific Activity

Specific Activity is defined as the concentration of the radioactivity or the relationship between the mass of radioactive material and the activity.

Symbol: A_s

Measurement: Specific ActivityUnit: Bq/g

Note: Value can be positive or negative.

Formulas to find Specific Activity

Radioactive Half Life

Radioactive Half Life is defined as the time required for a quantity of radioactive substance to decay to half of it's initial value.

Symbol: T_1/2

Measurement: TimeUnit: Year

Note: Value should be between 0 to 2345.

Formulas to find Radioactive Half Life

Atomic Weight of Nuclide

Atomic Weight of Nuclide is defined as the total number of protons and neutrons in the nucleus of an isotope of the nuclide.

Symbol: M

Measurement: WeightUnit: u

Note: Value can be positive or negative.

Formulas to find Atomic Weight of Nuclide

Avogadro’s number

Avogadro’s number represents the number of entities (atoms, molecules, ions, etc.) in one mole of a substance.

Symbol: [Avaga-no]

Value: 6.02214076E+23

Other Formulas to find Specific Activity

Go Specific Activity of Isotope

A s = \frac{λ \cdot [Avaga-no]}{M}

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 Specific Activity using Half Life?

Specific Activity using Half Life evaluator uses Specific Activity = (0.693*[Avaga-no])/(Radioactive Half Life*Atomic Weight of Nuclide) to evaluate the Specific Activity, Specific Activity using Half Life is defined as activity per quantity of a radionuclide and is a physical property of that radionuclide. It is the concentration of radioactivity or the relationship between the mass of radioactive material and the activity. Specific Activity is denoted by A_s symbol.

How to evaluate Specific Activity using Half Life using this online evaluator? To use this online evaluator for Specific Activity using Half Life, enter Radioactive Half Life (T_1/2) & Atomic Weight of Nuclide (M) and hit the calculate button.

FAQs on Specific Activity using Half Life

What is the formula to find Specific Activity using Half Life?

The formula of Specific Activity using Half Life is expressed as Specific Activity = (0.693*[Avaga-no])/(Radioactive Half Life*Atomic Weight of Nuclide). Here is an example- 3.2E+38 = (0.693*[Avaga-no])/(6311.3904*2.07567525023271E-25).

How to calculate Specific Activity using Half Life?

With Radioactive Half Life (T_1/2) & Atomic Weight of Nuclide (M) we can find Specific Activity using Half Life using the formula - Specific Activity = (0.693*[Avaga-no])/(Radioactive Half Life*Atomic Weight of Nuclide). This formula also uses Avogadro’s number constant(s).

What are the other ways to Calculate Specific Activity?

Here are the different ways to Calculate Specific Activity-

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

Can the Specific Activity using Half Life be negative?

Yes, the Specific Activity using Half Life, measured in Specific Activity can be negative.

Which unit is used to measure Specific Activity using Half Life?

Specific Activity using Half Life is usually measured using the Becquerel per Gram[Bq/g] for Specific Activity. Becquerel per Kilogram[Bq/g] are the few other units in which Specific Activity using Half Life can be measured.

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