Half Life Calculator
May 23, · How to calculate the half-life Determine the initial amount of a substance. For example, N (0) = kg. Determine the final amount of a substance - for instance, N (t) = kg. Measure how long it took for that amount of material to decay. In our experiment, we observed that it took 5 minutes. Total Time: 48 hrs. Jul 27, · How to Calculate Half Life Indium has a half life of minutes. A sample contains ? atoms of Indium a) Find the decay constant. b) Find out how many atoms of Indium would be left in the sample after 1 hour.. During a treatment for thyroid cancer, a patient is given a Estimated Reading Time: 4 mins.
The Half-Life calculator can be used to understand the radioactive decay principles. It can be used to calculate the half-life of a radioactive element, the time elapsed, initial quantity, and remaining quantity of an element. Half-life is a concept widely used in chemistry, physics, biology, and pharmacology. There are stable and unstable nuclei in each radioactive element. Half-life is defined as the time needed to undergo its decay process for half of the unstable nuclei.
Each radioactive element has a different half life decay time. The half-life of carbon, for example, is only 19 seconds, so it is impossible to find this isotope in nature.
Uranium has a half-life of about years, on the other jalf. This shows the variation in the half-life of different elements.
The concept if half-life can also be used to characterize some exponential decay. For instance, the biological half-life of metabolites.
Half-life is more like a probability measure. It doesn't mean that half of the radioactive element would have decayed after the half-life is over. However, it is a highly accurate estimate when enough nuclei are available in a radioactive element.
By using the following decay formula, the number of unstable nuclei in a radioactive element left after t can be calculated:. N t refers to the quantity of a radioactive element that exists after time t has elapsed. The average time a nucleus has remained unchanged.
The foregoing are all three equations that characterize the radioactivity of material and are linked to each finv, which can be expressed as follow:. As of now, you have been through the formula for half-life, and you may be fibd how to find half-life by using that half-life equation.
Calculating half-life is somewhat complicated, but we will simplify the process for your understanding. So, if an element with the initial value of grams decayed to 50 grams in seconds, its half-life will 60 seconds. Similarly, you can also calculate other parameters how to replace a starter on a 2000 ford expedition as initial quantity, remaining quantity, and time by using the above equations.
Our calculator will simplify the whole process for you. How many grams of an isotope will remain in 30 years if the half-life of grams of a radioactive isotope is 6 years? In this half-life problem, we already have a half-life, time, and initial quantity of a radioactive isotope. We need to calculate how to gain muscle with whey protein remaining quantity of that isotope.
A radioactive isotope will remain Ffind, the elapsed time t and the initial quantity N 0 of a radioactive isotope can also be calculated hslf following the same process. Calculating half-life using the above calculator is very simple because you just have to input values to get half-life of any element. This calculator not only calculates the half-life, but it can also be used ffind calculate the other lire of the half-life equation such as time elapsed, initial and remaining value.
You can find the different tabs for calculating each parameter. Similarly, you can calculate initial and remaining values as well as the time elapsed by clicking on the respective tabs and entering values in the input boxes.
Moreover, you can use this calculator to solve any type of half-life problems in school or college. Send feedback Loading…. Need some help? Half Life Uow. Initial Quantity. Remaining Quantity. Calculate Loading…. Fill the calculator form and click on Calculate button to get result here Total Sum. Llfe of Content 1 What is half life?
What is half life? N 0 refers to the initial amount of the element. T refers to the half-life of an element. The foregoing are all three equations that nalf the radioactivity of hwo and are linked to each other, which can be expressed as follow: How to calculate half life? Check out a few more calculators by us, fin specifically for you.
Chemical Equation Balancer Kinetic Energy Calculator Velocity Calculator Theoretical Yield Calculator Example How to setup wifi on wii many grams of an isotope will remain in 30 years if the half-life of grams of a radioactive isotope is 6 years?
Solution: In this llfe problem, we already have a half-life, time, and initial quantity of a radioactive isotope. Solve lfie equation for the remaining quantity N t. How to use our half life calculator? To calculate the half-life of an element, go to the half-life tab: Enter the initial and remaining quantity of the element in the corresponding input boxes.
Enter the total time it took to decay. You can select the unit of time q seconds, minutes, how to find a half life, months, year, etc. Press the Calculate It will instantly show you the half-life of the element.
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Rate of Radioactive Decay
t 1/2 is the half-life ? is the mean lifetime ? is the decay constant. If an archaeologist found a fossil sample that contained 25% carbon in comparison to a living sample, the time of the fossil sample's death could be determined by rearranging equation 1, since N t, N 0, and t 1/2 are known. This means that the fossil is 11, years old. Jan 23, · Calculating Half-Life Describe what is meant by the term half-life and what factors affect half-life. Calculate the amount of radioactive material that will remain after an integral number of half-lives. Calculate the age of a material based upon its half-life. Estimated Reading Time: 8 mins. To calculate the half-life of an element, go to the half-life tab: Enter the initial and remaining quantity of the element in the corresponding input boxes. Enter the total time it took to decay. You can select the unit of time from seconds, minutes, hours, months, year, etc.
Last Updated: March 5, References. This article was co-authored by Meredith Juncker, PhD. Her studies are focused on proteins and neurodegenerative diseases.
There are 18 references cited in this article, which can be found at the bottom of the page. This article has been viewed 1,, times. The half-life of a substance undergoing decay is the time it takes for the amount of the substance to decrease by half. It was originally used to describe the decay of radioactive elements like uranium or plutonium, but it can be used for any substance which undergoes decay along a set, or exponential, rate.
You can calculate the half-life of any substance, given the rate of decay, which is the initial quantity of the substance and the quantity remaining after a measured period of time. Plug in the values you have and solve, writing the answer in seconds, days, or years.
To see the half life equation and look at examples, read on! Did this summary help you? Yes No. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue. No account yet? Create an account.
Article Summary. Method 1 of All rights reserved. This image may not be used by other entities without the express written consent of wikiHow, Inc. What is half-life? Does temperature or concentration affect the half-life? The short answer is no. Can half-life be used in carbon dating? Carbon dating, or figuring out how old something is based on how much carbon it has, is a very practical way to use half-life. Method 2 of Understand exponential decay. This is exactly the type of relationship we want to describe half-life.
Rewrite the function in terms of half-life. We still have to account for the actual half-life, which is, for our purposes, a constant. Another property of exponential functions in physics is that the exponent must be dimensionless.
Since we know that the amount of substance depends on time, we must then divide by the half-life, which is measured in units of time as well, to obtain a dimensionless quantity.
As such, we obtain the function below. Incorporate the initial amount. All we need to do is to add the initial quantity N 0. Solve for the half-life.
In principle, the above formula describes all the variables we need. But suppose we encountered an unknown radioactive substance. It is easy to directly measure the mass before and after an elapsed time, but not its half-life. So, let's express half-life in terms of the other measured known variables.
Nothing new is being expressed by doing this; rather, it is a matter of convenience. Below, we walk through the process one step at a time. This brings down the exponent. Since there are logarithms in the final expression, you'll probably need a calculator to solve half-life problems.
Method 3 of Read the original count rate at 0 days. Take a look at your graph and find the starting point, or the 0 day mark, on the x-axis. Go down half the original count rate and mark it on the graph.
Starting from the top of the curve, note the count rate on the y-axis. Then, divide that number by 2 to get the number at the halfway point. Mark that point on the graph with a horizontal line.
Draw a vertical line down from the curve. Starting from the halfway point that you just marked on the graph, draw a second line going downward until it touches the x-axis. Hopefully, the line will touch an easy-to-read number that you can identify.
Read the half-life where the line crosses the time axis. Take a look at the point that your line touched and read where on the timeline it hits. Method 4 of Determine 3 of the 4 relevant values. Then, you can use any half-life calculator online to determine the half-life. Calculate the decay constant with a half-life calculator.
If you want to calculate how old an organism is, you can input the half-life and the mean lifetime to get the decay constant. This is a great tool to use for carbon dating or figuring out the lifespan of an organism. Just like the initial equation, you only need to know 2 of the 3 values to get the third one. Plot your half-life equation on a graphing calculator. If you know your half-life equation and you want to graph it, open up your Y-plots and input the equation into Y Finally, move your cursor above and below the midpoint of the graph to get your half-life.
Method 5 of Problem 1. What is the half-life of this substance? Since g is less than half of g, at least one half-life must have elapsed. Our answer checks out. Problem 2. A nuclear reactor produces 20 kg of uranium If the half-life of uranium is about 70 years, how long will it take to decay to 0. Problem 3. Os has a half-life of How many grams of a Problem 4. Find the half-life of this radioisotope. Did you know you can read expert answers for this article? Unlock expert answers by supporting wikiHow.
If a sample contains g of a radioactive isotope that has a half-life of 2 days, how much of the isotope remains after 6 days? Meredith Juncker, PhD. Support wikiHow by unlocking this expert answer. Not Helpful 30 Helpful If the half-life of a material is 6 hours, how much material remains in 36 hours? Not Helpful 33 Helpful Because it takes the isotope Not Helpful 15 Helpful Here, g becomes 50g, which is exactly half.
It took three months to do this.