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Amount of Substance left after n Half Lives Formula

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Amount of substance left after n half lives is defined as the amount that is left after radioactive disintegration at time=t. Check FAQs

N t(n) = ({(\frac{1}{2})}^{n}) \cdot N 0

N_t(n) - Amount of Substance Left After n Half Lives?n - Number of Half Lives?N₀ - Initial Concentration of Radioactive Substance?

Amount of Substance left after n Half Lives Example

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Here is how the Amount of Substance left after n Half Lives equation looks like with Values.

Here is how the Amount of Substance left after n Half Lives equation looks like with Units.

Here is how the Amount of Substance left after n Half Lives equation looks like.

1.625 = ({(\frac{1}{2})}^{4}) \cdot 26

1.625u = ({(\frac{1}{2})}^{4}) \cdot 26u

1.625 = ({(\frac{1}{2})}^{4}) \cdot 26

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Amount of Substance left after n Half Lives Solution

Follow our step by step solution on how to calculate Amount of Substance left after n Half Lives?

FIRST Step Consider the formula

N t(n) = ({(\frac{1}{2})}^{n}) \cdot N 0

Next Step Substitute values of Variables

∴

N t(n) = ({(\frac{1}{2})}^{4}) \cdot 26u

Next Step Convert Units

∴

N t(n) = ({(\frac{1}{2})}^{4}) \cdot 4.3E-26kg

Next Step Prepare to Evaluate

∴

N t(n) = ({(\frac{1}{2})}^{4}) \cdot 4.3E-26

Next Step Evaluate

∴

N t(n) = 2.69837782530253E-27kg

LAST Step Convert to Output's Unit

∴

N t(n) = 1.625u

Amount of Substance left after n Half Lives Formula Elements

Variables

Amount of Substance Left After n Half Lives

Amount of substance left after n half lives is defined as the amount that is left after radioactive disintegration at time=t.

Symbol: N_t(n)

Measurement: WeightUnit: u

Note: Value can be positive or negative.

Formulas to find Amount of Substance Left After n Half Lives

Number of Half Lives

Number of Half Lives is defined as the total time needed for the disintegration of the substance which is divided by the half-life of the substance.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Half Lives

Initial Concentration of Radioactive Substance

Initial Concentration of Radioactive Substance is defined as the amount of substance that is taken initially at time = 0 of the reaction.

Symbol: N₀

Measurement: WeightUnit: u

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Radioactive Substance

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 Amount of Substance left after n Half Lives?

Amount of Substance left after n Half Lives evaluator uses Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance to evaluate the Amount of Substance Left After n Half Lives, Amount of Substance Left after n Half Lives is defined as the amount that is left after radioactive disintegration at time (t). It is equal to the (1/2)n times the initial amount. Amount of Substance Left After n Half Lives is denoted by N_t(n) symbol.

How to evaluate Amount of Substance left after n Half Lives using this online evaluator? To use this online evaluator for Amount of Substance left after n Half Lives, enter Number of Half Lives (n) & Initial Concentration of Radioactive Substance (N₀) and hit the calculate button.

FAQs on Amount of Substance left after n Half Lives

What is the formula to find Amount of Substance left after n Half Lives?

The formula of Amount of Substance left after n Half Lives is expressed as Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance. Here is an example- 9.8E+26 = ((1/2)^4)*4.31740452048404E-26.

How to calculate Amount of Substance left after n Half Lives?

With Number of Half Lives (n) & Initial Concentration of Radioactive Substance (N₀) we can find Amount of Substance left after n Half Lives using the formula - Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance.

Can the Amount of Substance left after n Half Lives be negative?

Yes, the Amount of Substance left after n Half Lives, measured in Weight can be negative.

Which unit is used to measure Amount of Substance left after n Half Lives?

Amount of Substance left after n Half Lives is usually measured using the Atomic Mass Unit[u] for Weight. Kilogram[u], Gram[u], Milligram[u] are the few other units in which Amount of Substance left after n Half Lives can be measured.

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