The half-life of radium-226 is 1.6 x 10 years. How long will it take for 20.0 mg ofradium-226 to decay to 2.50 mg?1.3 x 1031.6 x 10' yearsA.yearsB.3.2 x 10 years103С.D.4.8 xyears

Answered: Image /qna-images/answer/aae8be34-76fb-4d89-ab8c-325866250964.jpg

Answered: The half-life of radium-226 is 1.6 x 10…

The half-life of radium-226 is 1.6 x 10 years. How long will it take for 20.0 mg of radium-226 to decay to 2.50 mg? A. 1.3 x 103 years 1.6 x 103 3.2 x 10 years B. years С. D. 4.8 x 103 years

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter30: Nuclear Physics

Section: Chapter Questions

Problem 65A

See similar textbooks

Related questions

Q: Q3) The activity of 1 gram of radium (226Ra) is exactly 1 Ci. The half-life of radium (in years) is-…

A: We have m=1 gm of Radium (R88226a) whose activity is given to be A=1 Ci. We need to find the half…

Q: 18.Examine the table. Isotope Half-Life (yrs) Carbon-14 5.715x10^3 Plutonium-239 2.41x10^4…

A: Given that, The half-life of Carbon-14 is 5.715×103 years The half-life of Plutonium-239 is 2.41×104…

Q: a- The half-life of the radioactive nucleus Ra is about 1.6 x10 yr and the initial activity is…

A: Given t0.5 = 1.6 ×103 yr No=11.3uCi and we need to find difference in decay rate and…

Q: Radon-222 decays at a continuous rate of 17.3% per day. Suppose a scientist begins with a sample of…

Q: 2. The half-life of a radioactive sample is 30 minutes. If the sample originally contains…

A: Half-life of a radioactive substance is the time that is taken by the substance to reduce into half…

Q: An archeologist discovers the bones of a person believed to have been dead for 600 years. Using…

A: Half-life of radioactive element: = 5.73 x 103 y Activity of radio active element: A(t) = 0.259 Bq…

Q: Krypton-81m (81mKr) is a radioactive isotope with a half-life of 13.1 s that is often used in…

A: The correct option is (e) 50.26 s

Q: Q2: - Radioactive carbon 14 sample contain 2x10"nuclie initially and its half-life is 5730 years,…

Q: 1. The isotope '¿C has a half-life of 5730 yr. If a sample contains 1 x 1022 carbon-14 nuclei, what…

Q: Q2:-Two samples of the same radioactive nuclide are prepared, each having the same size. Sample A…

A: SOlution: Given that the raltion between half lide and sample decay is T1/2 = ln2/λ the relation…

Q: Radioactive radon-222, found in many homes, is a potential health hazard. The half-life of radon-222…

Q: The radioactive hydrogen isotope 3H is called tritium. It decays by beta-minus decay with a…

A: To determine: (a) The daughter nucleus of tritium. (b) The fraction of tritium after the watch was…

Q: v) Check Question 5: Radioactivity (See textbook Chapter 6 - Exercise 4) Natural uranium is a…

Q: Question 3 A laboratory investigation shows that a sample of uranium ore contains 5.37 mg of U and…

A: We have to find the age of the ore

Q: Can carbon-14 dating be used to measure the age of a rock? Explain.

A: Carbon dating is a method which is used to find age of objects younger than 50,000 years.

Q: The radioactive nuclide Plutonium-199 has a half-life of 43.0 min. A sample is prepared that has an…

Q: The steps below show three of the steps in the radioactive decay chain for 232 90Th. The half-life…

A: Given: The steps below show three of the steps in the radioactive decay chain for 232 90Th. The…

Q: When a nucleus decays by emitting an alpha particle, what is the atomic number of the resulting…

A: Given: 88 Ra226

Q: 53. A radioactive sample contains 3.50 µg of pure "C, which has a half-life of 20.4 min. (a) How…

A: Given data: Mass, m=3.50μg=3.5×10-6g Half-life, t12=20.4 min=20.4×60 s=1224 s

Q: 5. A radioactive material has a half-life of eight days. How long will it take the material to be…

A: Let initial number of nuclei in the radioactive material be No and it is given that half life of the…

Q: An unknown radioactive element decays into non-radioactive substances. In 920920 days the…

A: (a) Half-life

Q: image11

A: The relation of the half-life in terms of wavelength is λ=0.693t1/2 Let's write the decay rate…

Q: If the atomic mass of Sodium-18 is 18.02597 u, what is the binding energy?

A: Given: The atomic mass of Sodium-18: M(18Na) = 18.02597 u. (Here, the mass number is A = 18) To…

Q: After long effort, in 1902 Marie and Pierre Curie succeeded in separating from uranium ore the first…

Q: The half-life of a radioactive isotope is known to be exactly 1 h. a) What fraction of a sample…

A: Given in question - Half-life (T) = 1 hour Solution: Step1 - Here we will understand the concept…

Q: Yttrium-90 is used in radioisotope therapy to treat various neuroendocrine tumors.Yttrium-90 has a…

A: Given information: Here, t1/2 is the yttrium’s half-life, A0 is the initial activity.

Q: 38 Which statement explains the meaning of the half-life of a radioactive substance? A half the time…

A: Every radioactive substance has a characteristic property which is independent of the amount of…

Q: Natural Uranium, as found on earth, consists of two isotopes in the ratio of ^ 235 U/ ^ 238 U=0.07…

Q: Example 6: A test tube of an isotope having a decay constant of 0.765 × 10-6 s-1 contains 3.0 x 1017…

Q: 64 g of a radioactive substance is prepared. 105 hours later, only 16 g remains. To the nearest…

A: To the nearest hour, the radioactive half-life of the substance is 52.5hours

Q: 21) The half life for radioactive decay of C14. Is 5730 years. An archaeological artifact containing…

Q: Osed in Radioactive vanadium-48 decays with a half-life of 16.0 days. [Review Topics] [References]…

Q: 1. A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How…

A: we have y=ut-12gt2

Q: All the very heavy atoms found in the earth were created long ago by nuclear fusion reactions in a…

A: Given values: Half life of U235, t12(U235)=7.04×108 yr Half life of U238, t12(U238)=4.47×109 yr…

Q: A certain radioactive material decays exponentially. The percent, P, of the material left after…

A: Given:- A certain radioactive material decays exponentially. The percent, P, of the material left…

Q: A pure sample of a newly discovered radioactive isotope is discovered. It has a half-life of 78 y.…

Q: 5. A sample of protactinium -234 of mass 100 g has a half-life of G-7 hours.. A. what praction of…

A: We have a sample of protactinium-234 having a mass m=100 g and a half life T1/2=6.7 hours. Let the…

Q: The half-life of beryllium-7 is about 53.3 days. (a) Determine the decay constant for beryllium-7.…

A: Given value--- Half life time = 53.3 days. We have to find--- (a) Determine the decay constant…

Q: An unstable isotope of cobalt, 60Co, has one more neutron in its nucleus than the stable 59Co and is…

A: Given Data The half-life of the isotope is T1/2 = 5.3 years. The mass of the cobalt is m = 4.20×10-2…

Q: 6. How long will it take for an amount of Radon-223 to decay to only 60% of the original amount? The…

A: The time required to decay to 60% of original amount needs to be calculated.

Q: 1.The half life of radium - 226 isn1. 8×10^3 years. a. What is the activity in Curries of 3.00 g…

A: (a) The expression for the half-life is written as, Here, λ represents the decay constant.

Q: You have a sample of unknown medication that is radioactive. You believe you should be able to…

Q: A tree falls in a forest. How many years must pass before the 14C activity in 1.00 g of the tree’s…

A: The mass of carbon,

Q: Q2: - Two samples of the same radioactive nuclide are prepared, each having the same size. Sample A…

A: Two samples of same radioactive nuclide are prepared, each having the same size.Sample A has twice…

Q: 1. A patient is given 0.050 mg of Technetium-99m, a radioactive isotope with a half-life of about…

A: Initial mass of Technetium = 0.050 mg final mass of Technetium = 0.0063 mg half life of technetium =…

Q: Radium-226, 226Ra, undergoes an alpha decay. The current sample of Radium-226 has an initial…

A: Given T1/2 = 1620 years Initial rate = 5.5 × 1010 Bq Final activity = 5 × 1010 Bq

Q: Yttrium-90 is used in radioisotope therapy to treat various neuroendocrine tumors.Yttrium-90 has a…

A: a) The equation for the decay constant is given by,

Q: Technetium-99 (half-life = 6.0 h) is used in medical imaging. How many half live would go by 36…

Concept explainers

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.

Question

The half-life of radium-226 is 1.6 x 10 years. How long will it take for 20.0 mg of
radium-226 to decay to 2.50 mg?
1.3 x 103
1.6 x 10' years
A.
years
B.
3.2 x 10 years
103
С.
D.
4.8 x
years

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, physics and related others by exploring similar questions and additional content below.

Similar questions

A radioactive sample initially contains 2.40102 mol of a radioactive material whose half-life is 6.00 h. How many moles of the radioactive material remain after 6.00 h? After 12.0 h? After 36.0 h?
(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?
The mass (M) and the radius (r) of a nucleus can be expressed in terms of the mass number, A. (a) Show that the density of a nucleus is independent of A (b) Calculate the density of a gold (Au) nucleus. Compare your answer to that for iron (Fe).
A sample of pure carbon-14 ( T1/2=5730y ) has an activity of 1.0Ci . What is the mass of the sample?
The ceramic glaze on a red-orange “Fiestaware” plate is U2O3and contains 50.0 grams of 238U, but very little 235U. (a) What is the activity of the plate? (b) Calculate the total energy that will be released by the 238U decay, (c) If energy is worth 12.0 cents per kWh , what is the monetary value of the energy emitted? (These brightly- colored ceramic plates went out of production some 30 years ago, but are still available as collectibles.)
(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?
Suppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0
(a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?
Construct Your Own Problem Consider the decay of radioactive substances in the Earth's interior. The energy emitted is converted to thermal energy that reaches the earth's surface and is radiated away into cold dark space. Construct a problem in which you estimate the activity in a cubic meter of earth rock? And then calculate the power generated. Calculate how much power must cross each square meter of the Earth’s surface if the power is dissipated at the same rate as it is generated. Among the things to consider are the activity per cubic meter, the energy per decay, and the size of the Earth.