Answered: If 250 mg of a radioactive element…

If 250 mg of a radioactive element decays to 220 mg in 36 hours, find the half-life of the element. (Round your answer to the nearest whole number.) hr

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter11: Nuclear Physics

Section: Chapter Questions

Problem 18Q

See similar textbooks

Related questions

Q: Ql: A radioactive material produces 1280 decays per minute at one time, and 4.6 h later produces 320…

Q: A certain radio active substance has half-life of 38 hours. The value of k is 0.01823684211 and it…

Q: any half-lives pass in a

Q: The half-life, T, for a particular radioactive element is14min. Find the decay rate of the element.…

Q: An element loses 22% of its mass every year, what is the half life?

A: Let the original mass of element be No and it loses 22% of mass its mass in a t=365 days i.e.,…

Q: The half-life of radium-226 is 1600 years. Suppose we have a 55 mg sample. Find a function that…

A: Write the expression for the radioactive decay model for the function that models the mass m(t)…

Q: The activity of certain radio nuclide decrease to 15% of its original value in 10 days. fine its…

Q: What fraction of a radioactive sample is left after exactly 6 half lives? Give your answer to 3…

A: Number of half life (n) = 6

Q: A radioactive substance decays according to the following function, where y, is the initial amount…

A: y(t) = yoe-0.072t Where yo is the initial amount present of a radioactive compound y (t) is the…

Q: Rutherfordium-261 has a half-life of 1.08 min. How long will it take for a sample of rutherfordium…

A: Given: Half life of Rutherfordium-261 t = 1.08 min.

Q: Consider an initial amount of 708g of radioactive material with half-life h=3.2hdays. Use a…

A: Write the expression of radioactive degradation. N=N0e-t/t1/2

Q: The half-life of phosphorus-32 is about 14days. There are 6.6 grams present initially.a. Express the…

A: Given, The half-life of phosphorus-32 is 14 The initial quantity is 6.6 grams

Q: The half-life of americium-241 is 457 years. What is the activity in curies of a 0.010g of sample of…

A: Half life of americium 241 t1/2 = 457 years Mass of sample m = 0.010 g Molar mass of americium -241…

Q: The half-life of radium-226 is 1590 years. Suppose we start with a sample of radium-226 whose mass…

A: Given: The half-life of radium = 1590 years Mass of the sample = 50 mg

Q: Manganese-52 has a half-life of 6 days. How many days would a scientist have to wait for the…

A: The radioactivity decay of a sample has a relationship given by:Nt=N0e-λt………(1)where,N0 is the total…

Q: A radioactive substance is found to register 5000 counts per second on a Geiger counter.…

Q: The half-life of a particular element is 330 days. What is its decay constant?

Q: If we have a nucleus (A = 110), its volume is?

A: Here, it is given that, a nucleus has A = 110. We have to find its volume . Let’s see how we will…

Q: When thorium decays by emitting a beta particle, what is the atomic number of the resulting nucleus?

Q: Binding energy per nucleon for an element is 7.14 MeV. If the binding energy of the element is 28.6…

Q: The half-life of radium 224 is about 3.6 days. What approximate fraction of a sample remains…

A: Half Life of Radium 224, t1/2 = 3.6 days Time interval, t = 2 weeks = 14 days

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

A: we know that decay constant λ =ln2half lifeand m=m0e-λt

Q: The half-life of radium is approximately 1600 years. If the present amount of radium in a certain…

Q: Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to…

Q: The mass of an idotope of an sulfur atom is A= 1+2Z. Please calculate the number of neutrons found…

A: Given that:- A=Mass number of sulfur=1+2Z where, Z=Atomic number of sulfur=16

Q: The smallest 14C/12C ratio that can be reliably measured is about 3.0 * 10-15, setting a limit on…

Q: A radioactive sample has a half-life of 3 days. Its current activity is 100 μCi . What was its…

Q: The barium isotope 133Ba has a half-life of 10.5 years. A sample begins with 1.0 × 1010 133Ba atoms.…

Q: What is the half-life of a radioactive isotope if the activity of a sample drops from 14,080 cpm to…

Q: After 2.00 days, the activity of a sample of an unknown type radioactive material has decreased to…

A: Formula to calculate the activity

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: The half life of a radioactive nucleus is 50 days. The time interval (t, – t) between the time t;…

Q: number of alpha-decays of Q in the first one hour is;

A: Given: Determine number of alpha decays of Q in the first one hour ?Where, A heavy nucleous Q of…

Q: A radioactive material decomposes half of its amount per minute. If after 2 mins, 100% undecayed…

A: Half of amount decay in 1 min

Q: A pure sample of a newty discovered radioactive isetope is discovered. I has a halt-ife of 59 min.…

Q: A piece of charcoal used for cooking is found at the remains of an ancient campsite. A 1.19 kg…

Q: What is the activity of a sample of C that contains 6.7x1020 nuclei? The half-life of C is 5700…

A: Solution:In 5700 years 6.5 × 10202 nuclei decay will take place, thus we have:5700 yrs =…

Q: Astatine-220 releases an alpha particle. What element results, and what is its mass number?

A: Parent nuclei = Astatine - 220 Atomic number = 85 atomic mass = 220 u Products after decay Alpha…

Q: A wood artifact discovered in 1990 showed a 14C-activity equivalent to 43% of that found in the…

A: Given : Half life of C-14, t1/2 = 5730 years Let initial count of C-14 be N = 100 The count of C-14…

Q: Radium-226, the first radioactive isotope used for its radioactive properties, has a half life of…

A: Radium-226 has a half-life, T12=23.0 centuries. The value of the rate constant is given by: λ=ln2T12…

Q: Given that radioactive cobalt-60 has a radioactive constant equal to 3.8 x 10° s determine its…

A: Given information: Here, λ is the radioactive constant or decay constant.

Q: If the half life of an element is 32.2 years, how many years it take for a sample to decay to the…

Q: How many radioactive nuclides are in a sample with a radioactivity of 3.1 kCi? The half-life of the…

Q: A substance decays according to the formula Q = 24(0.5)"2.4, where t is in weeks. (a) What is its…

Q: Technetium-99m is a radioactive isotope with a half-life of 6 hours. If a sample of was originally…

Q: A radioactive sample was measured 41.7 years ago. It had an activity of 2943.8 Bq. Today, its…

A: A radioactive sample was measured 41.7 years ago. It had an activity of 2943.8 Bq. Today, its…

Q: The half life of radium is 1.62x10^3years. What fraction of radium would remain after 1.0x10^3years?…

Q: A sample of radioactive elements of decay to 25 porcent of its original number of radioactive…

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

This exercise uses the radioactive decay model.
If 250 mg of a radioactive element decays to 220 mg in 36 hours, find the half-life of the element. (Round your answer to the nearest
whole number.)
hr
Need Help?
Watch
Read it
Master t

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

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

How much energy is released when a proton combines with a deuterium nucleus to produce tritium, 3He?
Consider an initial amount of 708g of radioactive material with half-life h=3.2hdays. Use a spreadsheet to record the initial amount (at day 0) and to calculate the amounts left at 1day intervals, up to day 10 included. What is the average amount of material over the time interval from day 0 to day 10? Round your answer to the nearest integer:
The amount of certain radioactive substance is reduced from 30 grams to 23grams in 30 days. What is its halflife?
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with135 grams of a radioactive isotope, how much will be left after 6 half-lives? Use the calculator provided and round your answer to the nearest gram.
The half-life of a particular radioactive isotope is 6.5 h. If there are initially 48 * 1019 atoms of this isotope, how many remain at the end of 26 h?
Suppose that instead of using half-life to characterize the radioactivity of elements, we used the idea of third-life (that is, the time it takes for one-third of a sample to decay). If the half-life of Uranium 235 is 700 million years, what would its third-life be?
Q2The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 90% of the lead to decay?
How many times longer than the mean life of anextremely unstable atomic nucleus is the lifetime of a human?(Hint: The lifetime of an unstable atomic nucleus is on theorder of 10−22 s .)
The half-life of a certain radioactive isotope is 30 minutes. If we start out with 100 g of the isotope, howmuch is left after 2.0 hours?
Radium-226, the first radioactive isotope used for its radioactive properties, has a half life of 23.0 centuries. How long does it take in centuries for this isotope to degrade by 30.6%? (the answer should be entered with 3 significant figures; do not enter units; give answer in normal notation--examples include 1.23 and 120. and -123 and 123. and 12.3)
The half-life of carbon 14 is 5730 years [ Hint: Use the formula N(t)= N0e^k1 Answer in completesentences. a) Find the yearly decay rate (k) of Carbon 14. Round your answer to 6 decimal places.
A radioactive sample at a lab contains a mixture of 223Ra and 47Ca. There are initially twice as many calcium atoms as there are radium atoms. What is the ratio of calcium atoms to radium atoms 1.50 weeks later? (Note that there are no units in this answer.)