8). Radioactive decay. Iodine-131 has a decay rate of 9.6% per day. The rate of change of an amount N of iodine-131 is given by dN :-0.096N dt where t is the number of days since the decay began. a) Let No represent the amount of iodine-131 present at t = 0. Find the exponential function that models the situation. b) Suppose that 500 g of iodine-131 is present at t = 0. How much will remain after 4 days? c) After how many days will half of the 500 g of iodine-131 remain?

8). Radioactive decay. Iodine-131 has a decay rate of 9.6% per day. The rate of change of an amount N of iodine-131 is given by dN :-0.096N dt where t is the number of days since the decay began. a) Let No represent the amount of iodine-131 present at t = 0. Find the exponential function that models the situation. b) Suppose that 500 g of iodine-131 is present at t = 0. How much will remain after 4 days? c) After how many days will half of the 500 g of iodine-131 remain?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 33 grams,…

A: Reaction in which rate is linearly depend upon one reactant is known as first order reaction.

Q: Plutonium-239 (produced in breeder reactors has a half-life of 24,100 years. How long will it take…

Q: One of the stable isotopes of Mg is Mg-24 What is the atomic number of Mg Enter whole number only…

A: Given isotope of Mg -24 a) Atomic number is defined as the number of protons present in the…

Q: Isotope of uranium 234U decays to thorium by the alpha decay with the half-life of 7.73 x 1012 s.…

Q: How long will it take for 15% of the U-238 atoms in a sample of U-238 to decay? Express your answer…

Q: Potassium-Argon dating is a common method of determining the age of rocks based on the time they…

A: Solution: In this problem we have to calculate the time peroid in years

Q: NUCLEAR REACTIONS Zinc-62 decays with a half-life of 9.186 hours. 1. Write the balanced nuclear…

A: Answer: All nuclear reactions are first order reaction therefore integrated rate law of first order…

Q: Consider a radioisotope "X" with a half-life of 46.1 years. Determine (to the nearest 0.1 mg) how…

Q: Thorium, a rare element in the earth's crust, has over seven radioactive isotopes. Of of these Th…

A: The rate of the reaction is referred to the change in the molar concentration in the distinct…

Q: 7. What is the half-life of an unknown substance if it is observed to decay from 15 mg to 3.75 mg in…

Q: Tritium, H, is more commonly known as fusion fuel but is itself relatively unstable, with a…

A: Unstable nuclei undergo radioactive decay process by the emission of highly energetic particles ,…

Q: 6. iodine-131 (tı/2 = 8.02 days) is one possible product of uranium-235 fission and is a major…

Q: If 28.0% of a sample of silver-112 decays in 1.52 hours, what is the half-life of this isotope (in…

A: Given values, 28% sample of silver=112 decays in 1.52 hours that means 72% sample…

Q: PLutonium-239, one of the radioactive by-products of nuclear power, represents a serious was…

A: Chemical kinetics is the study of the reaction that how fast or slow a reaction is taking place. The…

Q: A dinosaur fossil sample has 30% of its original amount of carbon-14 present. Assuming that the…

A: The objective of the question is to calculate the age of the fossil.

Q: contains 1.6 mmol of C-14, how many millimoles will be left after 2245 year millimoles using two…

A: For first order Reaction, k = 0.6931 / ( half life ) k = 0.6931 / 5730year k = 0.000121 year-1

Q: Americium-241 is a radioactive isotope that is used in smoke detectors. It has a half-life of 432.2…

Q: NUCLEAR REACTIONS Zinc-62 decays with a half-life of 9.186 hours. 1. Write the balanced nuclear…

Q: 4. Gamma-rays from decaying cobalt-60 are used to sterilize medical equipment. The percent, P, of…

A: Radioactive disintegration follows first order. Half-life of a reaction is the time required to…

Q: Element X has a half-life of 6 hours. How much of X remains from a 64kg sample after one day?

Q: If it takes 60 days for 100 mgmg of a particular radioactive isotope to decay to 3.13 mgmg what is…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: A scientist has a 1.2-g sample of pure strontium-91, 9138Sr. The half-life of strontium-91 is…

A: Given, mass of sample = 1.2 g half life , t1/2=9.70 h

Q: The natural abundance of 14C in the earth's atmosphere and all living organisms is approximately…

A: Given, The half-life of C14 =t12= 5730 years The rate constant and half-life are related to each…

Q: The half-life of carbon-14 is 5,730 years. Write the exponential decay function and find k. If the…

A: Half life:It is represented by the symbol t1/2. It was discovered by Rutherford. It is defined as…

Q: Cobalt-60 is radioactive and has a half life of 5.26 years. How long would it take a sample to decay…

A: Given- Half life=5.26 years Initial amount=1.90mg Final amount=1.50mg

Q: If plutonium-238 has a half-life of 88 years, how long will it take for a 100g sample of it to decay…

Q: lodine-131 is a radionuclide that is frequently used in nuclear medicine. Among other things, it is…

A: Sample mass of Iodine - 131 initially = 0.16 gram Half life of iodine-131 = 8 days We know that…

Q: The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 x 10° years. Suppose…

Q: Cobalt-60 is a radioactive isotope that is widely utilized in nuclear medicine as a -ray source. It…

A: Given that, the half-life of Co-60 is t1/2 = 5.27 years. a. We have to the time that it will take…

Concept explainers

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.

Question

8). Radioactive decay. Iodine-131 has a decay rate of 9.6%
per day. The rate of change of an amount N of iodine-131
is given by
dN
:-0.096N
dt
where t is the number of days since the decay began.
a) Let No represent the amount of iodine-131 present at
t = 0. Find the exponential function that models the
situation.
b) Suppose that 500 g of iodine-131 is present at t = 0.
How much will remain after 4 days?
c) After how many days will half of the 500 g of
iodine-131 remain?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

In a living organism, the decay of C-14 produces 15.3 disintegrations per minute per gram of carbon. The half-life of C- 14 is 5730 years. A 2.7 g sample of bone has 39.2 disintegrations per minute. How old is the bone sample in years? Answer:
se: 2021SP Art App... Please use the values in the resources listed below instead of the textbook values. Technetium-99m has a half life of 6.01 hours. If a patient injected with technetium-99m is safe to leave the hospital once 78.5% of the dose has decayed, how many hours after the injection is the patient allowed to leave? 4.0 h t.
Oxygen-22 disintegrates into Fluorine with a decay rate of λ = 0.315 per seconds. Considering an initial amount of Oxygen 22, which percentage of it will be left after 5.8 seconds? Keep three significant digits.
Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. -1 For the radioactive isotope lead-210, k is 3.30 x 10 years If the original amount of lead-210 in a sample is 60.0 mg, how much lead-210 remains after 24.6 years have passed? mg
The radioactive isotope I-131is used in the treatment of hyperthyroidism. When administeredto a patient, I-131 accumulates in the thyroid gland, where it decays and kills part of thatgland. Consider the half-life of 8 days.a) Suppose that it takes 72 hours to ship I-131 from the producer to the hospital. Whatpercentage of the original amount shipped actually arrives at the hospital.b) If the I-131 is stored at the hospital for an addition 48 hours before it is used, how muchof the original amount shipped from the producer is left when it is used?c) How long will it take for the I-131 to decay completely so that the remnants can be thrownaway without special precautions?
1) P-32 has a half-life of 14.3 days. How many milligrams of phosphorus-32 remain after 57.2 days if the isotope? you start with 4.0 mg of
The currently accepted value for the half-life of radiocarbon is 5,730 years. Based on that information, which of the following conclusions is correct. 1. In 2,865 years, the entire original amount of carbon-14 in the sample will be gone. 2. In 11,460 years, the entire sample will be another element. 3. In 5,730 years, half of the original sample of carbon will be gone. 4. In 5,730 years, half of the original amount of carbon-14 in the sample will be gone.
The radioactive isotope Cr decays by beta emission. 56 24 If the mass of a sample of chromium-56 decays from 85.8 micrograms to 21.5 micrograms in 11.8 minutes, what is the half-life of chromium-56? Half-life = minutes Submit Answer Retry Entire Group 2 more group attempts remaining