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Population at Time Formula

GoPopulation after N Half Lives Formula

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Number of Particles at Time is the quantity of particles present at a specific time t in a nuclear reaction, providing insight into the reaction's progression and dynamics. Check FAQs

N t = N o \cdot e^{- \frac{λ \cdot t}{3.156 \cdot 10^{7}}}

N_t - Number of Particles at Time?N_o - Number of Particles in Sample Initially?λ - Decay Constant?t - Time?

Population at Time Example

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Here is how the Population at Time equation looks like with Values.

Here is how the Population at Time equation looks like with Units.

Here is how the Population at Time equation looks like.

50.1 = 50.1 \cdot e^{- \frac{0.4 \cdot 25}{3.156 \cdot 10^{7}}}

50.1 = 50.1 \cdot e^{- \frac{0.4Hz \cdot 25s}{3.156 \cdot 10^{7}}}

50.1 = 50.1 \cdot e^{- \frac{0.4 \cdot 25}{3.156 \cdot 10^{7}}}

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Population at Time Solution

Follow our step by step solution on how to calculate Population at Time?

FIRST Step Consider the formula

N t = N o \cdot e^{- \frac{λ \cdot t}{3.156 \cdot 10^{7}}}

Next Step Substitute values of Variables

∴

N t = 50.1 \cdot e^{- \frac{0.4Hz \cdot 25s}{3.156 \cdot 10^{7}}}

Next Step Prepare to Evaluate

∴

N t = 50.1 \cdot e^{- \frac{0.4 \cdot 25}{3.156 \cdot 10^{7}}}

Next Step Evaluate

∴

N t = 50.0999841254778

LAST Step Rounding Answer

∴

N t = 50.1

Population at Time Formula Elements

Variables

Number of Particles at Time

Number of Particles at Time is the quantity of particles present at a specific time t in a nuclear reaction, providing insight into the reaction's progression and dynamics.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Particles at Time

Number of Particles in Sample Initially

Number of Particles in Sample Initially is the quantity of particles present in a sample at the beginning of a nuclear reaction or process.

Symbol: N_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Particles in Sample Initially

Decay Constant

Decay Constant is a measure of the rate at which unstable atoms undergo radioactive decay, emitting ionizing radiation, and is a fundamental concept in nuclear physics and chemistry.

Symbol: λ

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Decay Constant

Time

Time is the duration between two events, typically measured in seconds, minutes, hours, or years, and is a fundamental concept in physics, engineering, and everyday life.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time

Other Formulas to find Number of Particles at Time

Go Population after N Half Lives

N t = \frac{N o}{2^{N}}

Other formulas in Nuclear Physics category

Go Nuclear Radius

r = r 0 \cdot A^{\frac{1}{3}}

Go Decay Rate

D = - λ \cdot N total

Go Half Life for Nuclear Decay

t half = \frac{0.693}{λ}

Go Average Life

t avg = \frac{1}{λ}

How to Evaluate Population at Time?

Population at Time evaluator uses Number of Particles at Time = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7)) to evaluate the Number of Particles at Time, Population at Time formula is defined as a measure of the number of individuals in a population at a specific point in time, taking into account the initial population size and the rate of decline or growth over time, providing valuable insights into population dynamics and growth patterns. Number of Particles at Time is denoted by N_t symbol.

How to evaluate Population at Time using this online evaluator? To use this online evaluator for Population at Time, enter Number of Particles in Sample Initially (N_o), Decay Constant (λ) & Time (t) and hit the calculate button.

FAQs on Population at Time

What is the formula to find Population at Time?

The formula of Population at Time is expressed as Number of Particles at Time = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7)). Here is an example- 50.09998 = 50.1*e^(-(0.4*25)/(3.156*10^7)).

How to calculate Population at Time?

With Number of Particles in Sample Initially (N_o), Decay Constant (λ) & Time (t) we can find Population at Time using the formula - Number of Particles at Time = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7)).

What are the other ways to Calculate Number of Particles at Time?

Here are the different ways to Calculate Number of Particles at Time-

Number of Particles at Time=Number of Particles in Sample Initially/(2^(Number of Half Lives))

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Population at Time Formula

​GoPopulation after N Half Lives Formula

Population at Time Example

Population at Time Solution

Population at Time Formula Elements

Other Formulas to find Number of Particles at Time

Other formulas in Nuclear Physics category

How to Evaluate Population at Time?

FAQs on Population at Time

Variable Name

GoPopulation after N Half Lives Formula