The rate of decay of the radioactive isotope Free Neutron 239 is given by: M = -1.1 × 10 ³M where M is the mass of the isotope in grams and t is time measured in minutes. A sample initially contains 3 grams of the isotope. a) What is the mass of the isotope present in the sample after 320 minutes? The mass is grams. Round your answer to 3 significant figures, if needed. 5) How long does it take for the mass of the isotope in the sample to fall to 1.5 gram? It takes t minutes. Round your answer to the nearest integer if needed.

The rate of decay of the radioactive isotope Free Neutron 239 is given by: M = -1.1 × 10 ³M where M is the mass of the isotope in grams and t is time measured in minutes. A sample initially contains 3 grams of the isotope. a) What is the mass of the isotope present in the sample after 320 minutes? The mass is grams. Round your answer to 3 significant figures, if needed. 5) How long does it take for the mass of the isotope in the sample to fall to 1.5 gram? It takes t minutes. Round your answer to the nearest integer if needed.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Nuclear Fission

Nuclear fission is a type of nuclear reaction in which heavier nuclei split into lighter nuclei by releasing a large quantity of energy. The elements like uranium-235 and plutonium-239 isotope undergo nuclear fission releasing energy. When nuclei undergo fission, some quantity of mass is lost. The lost mass is converted to nuclear energy. Nuclear fission reaction is used in nuclear power plants and atomic bombs. In nuclear power plants, nuclear reactors are used to generate electricity.

Endothermic Nuclear Reaction

A nuclear reaction can be described as a process where two atoms, or two nuclei or nucleus and subatomic particles such as a proton, neutron interact together, and a large amount of energy is produced and new elements are also produced.

Question

The rate of decay of the radioactive isotope Free Neutron 239 is given by:
M = -1.1 x 10-³M
where M is the mass of the isotope in grams and t is time measured in minutes.
A sample initially contains 3 grams of the isotope.
What is the mass of the isotope present in the sample after 320 minutes?
The mass is
grams.
Round your answer to 3 significant figures, if needed.
b)
How long does it take for the mass of the isotope in the sample to fall to 1.5 gram?
It takes t =
minutes.
Round your answer to the nearest integer if needed.

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Step 1: Radioactive decay equation is given for isotopes

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Step 2: Determining mass of isotopes after 320 minute

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Step 3: Determining time taken to reduce to 1.5 gram isoptopes.

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