Home > Chemistry > Detail
search_icon
Question

the half-life of palladium-100 is 4 days. after 24 days a sample of palladium-100 has been reduced to a mass of 7 mg. what was the initial mass (in mg) of the sample?

Answer

Alright class, let's take a look at the initial mass of the sample, which was recorded at 448.142 mg. Now, can anyone tell me what half life is? In terms of radioactivity, half life refers to the amount of time it takes for half of the nuclei in a sample to decay and convert into other types of nuclei, releasing particles and energy. This means that the amount of radioactive material is halved per second of time interval. For example, cobalt-60 - a radioisotope used in radiotherapy - has a half-life of 5.26 years. This means that after 5.26 years, a sample containing 8g of Cobalt-60 will only have 4g left and will emit half the amount of radiation. Another 5.26 years later, the sample will only have 2g of Cobalt-60 left. However, the original sample's mass and volume are such that while the unstable cobalt-60 nuclei decay into stable nickel-60 nuclei, there is still some undecayed cobalt left. Finally, using the equation 7/e^-4.1592 equals 448.142, we can calculate the initial mass of the sample based on its half life. If you'd like to learn more about half life, follow the link below: brainly.com/question/21912477 #SPJ4