For example, radium and polonium, discovered by the Curies, decay faster than uranium. However, some nuclides decay faster than others. Calculate age of old objects by radioactive dating.The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category "Performance". This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. In all these cases, you can use this handy online tool. For example, population growth of various living organisms (from microorganisms to humans), deposit compound interest growth, economic growth, etc. There are numerous real-world phenomena where the exponential growth model is applicable. Thus, this online exponential decay calculator can be used as exponential growth calculator as well. In this case we have a process of exponential growth. Note, that the decay rate can also be a negative number. However, for full-fledged work with everything related to half-life, we recommend using our Half-Life Calculator. For this you just need to enter in the input fields of this calculator “2” for Initial Amount and “1” for Final Amount along with the Decay Rate and in the field Elapsed Time you will get the half-time. Our Exponential Decay Calculator can also be used as a half-life calculator. It is easy to show that the half-life and decay rate are related by the following equation for half-life: For example, they say about the biological half-life of metabolites. It is also used in chemistry, biology and pharmacology to describe any kind of exponential decay. The concept of half-life is widely used in nuclear physics in the study of radioactive elements. It’s the amount of time it takes a given quantity to decrease to half of its initial value. But this phenomenon can also be found in chemical reactions, pharmacology and toxicology, physical optics, electrostatics, luminescence and many more.Ī more intuitive characteristic of exponential decay and measure of decay rate is called the half-life. The most famous example is radioactive decay. Exponential decay occurs in a wide variety of cases that mostly fall into the domain of the natural sciences. The exponential decay is found in processes where amount of something decreases at a rate proportional to its current value. Where \(A(t)\) and \(A(0)\) are amounts of some quantity at time \(t\) and \(0\) respectively, \(r\) is the decay rate and \(t\) is the time elapsed. The exponential decay process can be expressed by the following formula:
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