Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially. a) Write an equation that models this situation. b) How much radioactive substance is remaining after 12 days? c) Find the time when there will be 1g of the substance remaining ** The half-life of a substance is 250 years**. If there were initially 100 grams of the substance, what is the exponential model for the situation?: The half-life decay model A = Ao*2^(-t/h) where A = remaining amt after t time Ao = initial amt t = time of decay h = half-life of substance: In this problem A = 100*2^(-t/250) As usual the question is not stated precisely. What do you mean by a substance, also nothing I can find has a half-life of 250 years, and the closest substance is a gas argon-39 at 269 year half-life. Is the substance 100% radioactive material?. The half-life of carbon-14 is approximately 5,730 years, and it can be reliably used to measure dates up to around 50,000 years ago. The process of carbon-14 dating was developed by William Libby, and is based on the fact that carbon-14 is constantly being made in the atmosphere

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**half-life****is**material is given as 1000**years**and initial amount of material is given as 400 kg Answer 1) Since,**half-life****of**radio-active**substance****is**1000**years**, therefore after 1st**half****life**, amount of the material will be left to**half****the**initial amount. Hence, amount of**substance**left after 1000**years**= 400/2 = 200 kg - Suppose that the half-life of a substance is 250 years. If there were initially 100g of the substance, a.) give an exponential model for the situation, and b) how much will remain after 500 years? ACTIVITY 14.1 Make It Real
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Suppose that the half-life of a substance is 250 years, if there were initially 100g of the substance, (a) give an exponential model for the situation, and (b) how much will remain after 500 years? 4. A population starts with 1,000 individuals and tripples every 8 Q.2 The half-life of the radioactive substance strontium-90 is 29 years. Suppose a sample of rock contains 250 grams of strontium-90 (a) What percentage of strontium-90 decays each year? (b) What is the continuous decay rate of strontium-90? (c) How long will it be before the rock sample contains only 6 grams of strontium-90

- The half-life of a radioactive substance is the time H that it takes for half of the substance to change form through radioactive decay. This number does not depend on the amount with which you start. For example, carbon-14 is known to have a half-life of H = 5770 years. Thus if you begin with 1 gram of carbon-14, then 5770 years later you will.
- utes is taken, the following is estimated: 60
- 250 grams. If Radium has a half life of 1600 years, and there is a sample of 1000 grams of Radium, how much radium will be left after 4800 years? After 8000 years. Suppose a radioactive substance has a half-life of 1 second. What does that mean? It means that after every second one half of a given substance will decay
- This looks like a poorly worded homework question. RE: Suppose the half-life of a certain radioactive substance is 20 days and there are 10g initially. What is the exponential model and the amount of substance remaining after 75 days? The answer..
- Suppose 2 Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, a. Give an exponential model for the situation b. How much will remain after 500 years? Geography tests On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points

- Since the substance has a half-life of 200 years, then there will only be half of 15 grams present, so when t = 200, A = 7.5, half of 15 grams. So we substitute that and get Use the fact that the equation is equivalent t
- If m0 is the initial mass of a radioactive substance with half-life h, then the mass remaining at time t is modeled by the function: () 0 where . mt me= −. rt. ln(2) r h =. Example 3: Radioactive Decay . The half-life of cesium-137 is 30 years. Suppose we have a 10 g sample. (a) Find a function that models the mass remaining after . t years
- If Radium has a half life of 1600 years, and there is a sample of 1000 grams of Radium,when will there be 25 grams of radium left? After 8000 years Suppose a radioactive substance has a half-life of 1 second
- a certain radioactive substance is decaying so that at time t, measured in years, the amount of the substance, in grams, is given by the function f(t)=3e^-3t. What is the rate of decay of the substance after half a year: I first . math. An element has a half-life of 30 years
- Suppose 2 Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, a. Give an exponential model for the situation b. How much will remain after 500 years? Transformer Transformer - U1 = 230 V, N1 = 300, N2 = 1,200, I1 = 4 A. Calculate the transformation ratio, voltage and current in the secondary coil
- Radioactive Substance Approximate half-life Radon-222 4 days lodine-131 8 days Radium-226 1600 years Carbon-14 5,730 years Plutonium-239 24.120 years Uranium-238 4.470,000,000 years Using the table above, complete the following questions Suppose there are 500 atoms of Radon-222

- Suppose you find a rock that contains 10 micrograms of radioactive potassium-40, which has a half-life of 1.25 billion years. By measuring the amount of its decay product (argon-40) present in the rock, you conclude that there must have been 80 micrograms of potassium-40 when the rock solidified
- 6. Suppose a certain radioactive substance has a half-life of 2 years. Find how long it will take for 400 grams of the substance to decay to 25 grams. a) 6 years b) 8 years c) 10 years d) 12 years 7. The yearly inflation rate tells the percentage by which prices increase. In 1990 an individual retired on a fixed income of $46,000 per year
- Half-Life - the time required for one half the atoms in a radioactive substance to decay. For example, the radioactive half-life of cesium is 30.174 years. Radionuclides with short half-lives decay quickly and radionuclides with longer half-lives emit energy over longer periods of time. Polonium-215. 0.0018 seconds

Suppose that the half-life of a substance is 250 yrs. .If there were initially 100 g of substance .How much will remain after 500 years??with solution please . Math. In 10 years, 25% of a radioactive substance decays. What is its half-life? A. 25 years B. 24 years C. 20 years D. 29 years . Math: Personal Finance. You want to buy a car Suppose 2 Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, a. Give an exponential model for the situation b. How much will remain after 500 years? Loan Apply for a $ 59000 loan, the loan repayment period is 8 years, the interest rate 7% How much Will you owe after 10 years? Suppose 2 Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, a. Give an exponential model for the situation b. How much will remain after 500 years? The city At the end of 2010 the city had 248000 residents. The population increased by 2.5% each year 4) Hydrogen-3 or tritium as it is commonly called, has a half life of 12.32 years. If you start with 20 grams of it, how much will remain after 25 years? Ending Amount = Beginning Amount / 2 (time / half-life) Ending Amount = 20 / 2 (25 / 12.32) Ending Amount = 20 / 2 (2.0292) Ending Amount = 20 / 4.0818. Ending Amount = 4.8997 gram

half-life of a radio isotope is 5 years. fraction of substance that decays in 15 years is: - 238180 1.Suppose the half life of nickel is 50 years. If you had 100 grams of nickel, how many gram would be left after 200 years? Find the half-life from 1s Click here to get an answer to your question ️ Suppose that 3≤′()≤5 for all values of . Show that 18≤(8)−(2)≤30

3. RADIOACTIVE DECAY A radioactive substance has a half-life of 32 years Find the ( 32..) constant k in the decay formula for the substance. 1 —0.0 z (7 ae 4. DEPRECIATION A piece of machinery valued at $250,000 depreciates at a fixed rate of 12% per year. After how many years will the value have depreciated to $100,000? Z So 000 ( ) 5 10. The half-life of a radioactive substance is 3200 years. Find the quantity Q0) of the substance left at timet > Oif Q (0) = 20 g. The half-life of a radioactive substance is 2 days. Find the time required for a given amount of the material to decay to 1/10 of its original mass A radioactive material loses 25% of its mass in 10 minutes **Half-life**. Exercise gives a **half-life** for an exponentially decaying quantity. 22. The **half-life** **of** **a** radioactive **substance** **is** **250** **years**. If you start with some amount of this **substance**, what fraction will remain in 70 **years**? : The **half-life** formula: A = Ao(2^(-t/h)) where A = resulting amt Ao = initial amt t = time (in yrs in this case

Each radioactive isotope will have its own unique half-life that is independent of any of these factors. Figure 5.7.1: For cobalt-60, which has a half-life of 5.27 years, 50% remains after 5.27 years (one half-life), 25% remains after 10.54 years (two half-lives), 12.5% remains after 15.81 years (three half-lives), and so on 250. If Radium has a half life of 1600 years, and there is a sample of 1000 grams of Radium, how much radium will be left after 3200 years? (grams) 125. Suppose a radioactive substance has a half-life of 1 second. What does that mean? 2 1.1 You must be 13 years or older to use Brainly Services. Your Use of the Brainly Services ; 2.1 Your right to use Brainly Services is personal to you. This right is given to you solely for this purpose. It is also personal to you and you are not allowed to give this right to any other perso A radioactive substance decays according to the formula A=A0e^kt where A0 is the initial amount of substance (in grams) A is the amount of substance(in grams) after t years k is a constant The half-life of the substance is 10 . statistics. The data set represents the income levels of the members of a country club

Half life Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. Suppose 2 Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, a. Give an exponential model for the situation b. How much will remain after 500 years? Exponential. It has a half-life of 5730 years. Write the function for a 24- mg sample. Find the amount remaining after 30 millennia (1 The attendance at the art museum at the New Year's opening was 250 people. The attendance has been Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation tha An element has a half-life of 30 years. If 1.0 mg of this element decays over a period of 90 years, how many mg of this element would remain? Begin amount is 1.0 elapsed time is 90y half life 30 years n=9/30 n=3 90/2^2 90/8 = Chemistry. 32P is a radioactive isotope with a half-life of 14.3 days This is a list of radioactive nuclides (sometimes also called isotopes), ordered by half-life from shortest to longest, in seconds, minutes, hours, days, and years. Current methods make it difficult to measure half-lives between approximately 10 −19 and 10 −10 seconds

5.3 years: technetium-99m: nuclear medicine: 6 hours: americium-241: construction: 432 years: carbon-14: archeological dating: 5,715 years: uranium-235: atomic power: 703,800,000 years: We can see how widely the half-lives for these substances vary. Knowing the half-life of a substance allows us to calculate the amount remaining after a. Half life 1=5,730 years while the ratio is 1:1. Half life 2= 11,460 years while the ratio is 1:3. Half life 3= 17,190 years while the ratio is 1:7. Half life 4= 22,920 years while the ratio is 1:15 . To get the 2-4 half lives, you just add the 5,730 each time. So how I got the second half life you would do 5,730+5,730=11,46 Now that you know how many half-lives have passed for your fossil, you need to multiply your number of half-lives by how many years are in one half-life. This gives you an age of 2 x 5730 = 11,460 years. Your fossil is of an organism (maybe human) that died 11,460 years ago * During the second half-life (from 6*.00 hours to 12.00 hours), it decreases from 0.500 M to 0.250 M; during the third half-life, it decreases from 0.250 M to 0.125 M. The concentration of H 2 O 2 decreases by half during each successive period of 6.00 hours. The decomposition of hydrogen peroxide is a first-order reaction, and, as can be shown.

The half-life of a radioactive substance is one day, meaning that every day half of the substance has decayed. Suppose you have 100 grams of this substance. How many grams of the substance would be left after a week? Chemistry. Which radioactive sample would contain the greatest remaining mass of the radioactive isotope after 10 years The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope. Consider the following example. Suppose we have 100.0 g of tritium (a radioactive isotope of hydrogen). It has a half-life of 12.3 y Using Half-Life to Calculate Exponential Decay Consider a substance that has a half-life of T. The remaining quantity A that exists after an elapsed time of t is A = P (1 — 2) t /T. A measures the quantity at any time. t is the elapsed time. T is the half-life. P is the initial value of A, when n = 0. Study Tip If a quantity begins at 16. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope. Consider the following example. Suppose we have 100.0 g of 3 H (tritium, a radioactive isotope of hydrogen). It has a half-life of 12.3 y This question I think is a banned one as it's extremely common but I'll answer anyway with a very simple method. T = 0 M = 0.1kg Half Life = 32 Days To answer this question, there is no need to solve for the radioactive decay equation. If 192 ÷ 32..

half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. 1. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years? 1000 = 2. How much radium will be left after another 1600 years? - 250 3. Suppose a radioactive substance has a half-life. * I I*. The half-life of carbon-14 is 5770 years. Suppose we have an organic sample that is 15,000 years old. Determine what percentage of the original amount of carbon-14 — 0.1/0 (47 d 577 12. A(n) A) logarithmic B) line exponential D) increasing function is a function that changes at a constant percentage rate. Page

Suppose a radioactive substance has a half-life of 1 second. How much substance will be left from an 8 gram sample after two seconds? 2 grams. A scientist has m grams of a radioactive substance. Write an expression that shows the amount of the substance that remains after one half-life. 1/2 m Uranium 238 is a radioactive material with many applications in nuclear technology. It decays exponentially with a half-life of about 4.5 billion years. Write an equation expressing how much Uranium 238 remains after years assuming the initial sample size is 100 grams. For each graph below, decide whether or not the graph could represent the. The iodine-131 nuclide has a half-life of 8.0 days. If you originally have a 257 g sample, after 48 days how much will you have? Physical Science- Help Please! Suppose that you are given a 100 gram sample of a radioactive substance with a half-life of 32 days. How many grams will be left after 192 days? Chemistr The half-life of a first-order reaction is independent of the concentration of the reactants. The half-lives of radioactive isotopes can be used to date objects. The rate of decay, or activity, of a sample of a radioactive substance is the rate of decrease in the number of radioactive nuclei per unit time. The half-life of a reaction is the.

22) Plutonium has a decay rate of 0.003% per year. What is the half life? 22) 23) 14 C has a half life of 5730 years. How old is a piece of charcoal which has lost 90% of its 14 C ? 23) 24) A certain radioactive substance is decaying at a rate proportional to the amount present. I Suppose that you are given a 100 gram sample of a radioactive substance with a half-life of 32 days. How many grams will be left after 192 days? physics. How long will it take a sample of polonium-210 with a half-life of 140 days to decay to one-sixty-fourth of its original strength? Math. 17.The speed limit of a highway is 55 miles per hour Half-life applies to the weight of a substance, as well as to numbers of nuclei. The half-life of plutonium-239 is 24,000 years. If I have 3 grams of plutonium today, then 24,000 years from now there will be 1.5 grams; 48,000 years from now there will be 0.75 grams; etc. Determining time intervals: We can also use half-lives to determine times Browse the WebMD Questions and Answers A-Z library for insights and advice for better health

Potassium-40 has a half-life of approximately 1.25 billion years. Approximately how many years will pass before a sample of potassium-40 contains one-sixteenth the original amount of parent isotope? Physical Science- Help Please! Suppose that you are given a 100 gram sample of a radioactive substance with a half-life of 32 days 8.10 hours. You start with 500.0g. After the first half-life, you have 250.0g. After the second, you have 125.0g. After the third, you have 62.50g. Therefore, it takes three half-lives to decay to 62.50g. Therefore, the elapsed time must be triple the length of one half-life. 24.3/3 = 8.10, so it is 8.10 hours Half-life. Exercise gives a half-life for an exponentially decaying quantity. 22. The half-life of a radioactive substance is 250 years. If you start with some amount of this substance, what fraction will remain in 70 years? : The half-life formula: A = Ao(2^(-t/h)) where A = resulting amt Ao = initial amt t = time (in yrs in this case

Nuclear half-life expresses the time required for half of a sample to undergo radioactive decay. Exponential decay can be expressed mathematically like this: #A(t) = A_0 * (1/2)^(t/t_(1/2))# (1), where #A(t)# - the amount left after t years; #A_0# - the initial quantity of the substance that will undergo decay; #t_(1/2)# - the half-life of the decaying quantity Uranium (238U) 4,510,000,000 years Plutonium (239Pu) 24,360 years Carbon (14C) 5,730 years Radium (226Ra) 1,620 years Einsteinium (254Es) 270 days Nobelium (257No) 23 seconds Example 3: Radioactive Decay Suppose that 10 grams of the plutonium isotope Pu239 was released in th The half-life of a radioactive substance is one day, meaning that every day half of the substance has decayed. Suppose you have 100 grams of this substance. a. Construct an exponential model for the amount of the substance remaining on a given day. 100 ∗.5 t where t is time in days b. How much of the substance would be left after a week? 100.

An isotope with a shorter half-life is generally considered more radioactive (although it also depends on the energy emitted). 3. How long does it take for 1.00 g of palladium-103 to decay to 0.125 g if its half-life is 17.0 d? 51.0 d 4. How long does it take for 2.00 g of niobium-94 to decay to 0.0625 g if its half-life is 20,000 y? 1.0 10 5 y 5 If an object has 25% of the C-14 (t1/2 = 5,730 years) activity as a living organism, the age of the item is a. 11,460 years b. 17,190 years c. 22,920 years d. 28,650 years View Answer Sodium-24. The formula for specific heat capacity, C, of a substance with mass m, is C = Q /(m ⨉ ΔT). Where Q is the energy added and ΔT is the change in temperature. The specific heat capacity during different processes, such as constant volume, Cv and constant pressure, Cp , are related to each other by the specific heat ratio, ɣ= Cp/Cv , or the. Question 546806: given that the half life of a certain radioactive substance s 20 days and there are 5 grams present initially, the equation that models the situation is s(t)=5(1/2)^t/20. Find the time when here will be 1 gram of the substance remaining Answer by KMST(5289) (Show Source)

3. Apply: Suppose you find a mystery powder. It is coarse in appearance, has a neutral pH, and does not react with vinegar, Biuret solution, or iodine. Of the five substances listed here, which is it most likely to be? _____ 4. Challenge: Baking powder is a combination of three substances, two of which are other known substances in the Gizmo The half-life of a substance or quantity is the amount of time it takes for half of the initial amount of that substance or quantity to decay. A scientist begins with \(250\) grams of a radioactive substance. After \(250\) minutes, the sample has decayed to \(32\) grams. Round your answer to the nearest year. 92. Suppose that only 5.2%. The half-life of a radioactive substance is the amount of time required for half of a give sample to decay. Note that half-life is independent of the size of the sample. If the half-life of a certain radioactive material is 700 years, then if the initial mass of the sample is 1000 grams, in 700 years there will be 500 grams The population after 7 years will be approximately 38,783 people. A common application of exponential decay is half-life. The half-life of a substance is the time it takes for one-half of the substance to decay into another substance. III. Half-Life . Ex 1: Astatine-218 has a half-life of 2 seconds

5. (5 pts.) A radioactive substance has half life of 100 years. If a sample has a mass of 500g, when will it be reduced to 20g? (a) 100ln25ln2 years. (b) 100ln50 years. (c) 1;250 years. (d) 100ln2 ln5 years. (e) 2;500 years. 6. (5 pts.) Find the coe cient of a2b7 in the expansion of (a+ b)9 Suppose a radioactive substance has an activity of 6144 Bq. =10 half-lives x 25 minutes per half-life = 250 m or 4h 10 m 5.3 Range of Half-lives For example, fresh CANDU fuel contains natural uranium. The half-life of U-238 is 4.5 billion years and for U-235 is 700 million years Answers is the place to go to get the answers you need and to ask the questions you wan The half-life of cobalt-60 Is 5,26 years. If 50 g are left after 15.8 years, how many grams were In the original sample? 4 3 K I ^ *S o 5. The half-life of 1-131 is 8.07 days. ifc2g g are left after 40.35 days, how many grams were in the original sample? ;'1? } — ' 6. If 100 g of Au-198 decays to 6,25 g in 10.8 days, what is the half-life of.

In this first chart, we have a radioactive substance with a half life of 5 years. As you can see, the substance initially has 100% of its atoms, but after its first half life (5 years) only 50% of the radioactive atoms are left . That's what 'half life' means. Literally, half of the substance is gone every five years (the half life of this. Logs are the opposite of exponents the way multiplication is the opposite of division and addition is the opposite of subtraction. And in particular, taking log base e of e (or ln (e)) is very handy because ln (e) = 1, just like log₂2 = 1. After all, we can rewrite log₂2 = 1 in exponential form as 2^1 = 2 The radioactive element thorium-234 has a half-life of approximately 24 days. If I started with 82 grams of it, how much thorium would remain after 96 days * Expert Answer*. Support wikiHow by unlocking this expert answer. One quick way to do this would be to figure out how many half-lives we have in the time given. 6 days/2 days = 3 half lives 100/2 = 50 (1 half life) 50/2 = 25 (2 half lives) 25/2 = 12.5 (3 half lives) So 12.5g of the isotope would remain after 6 days The radioactive decay follows first-order kinetics. We know that the half-life of carbon is 5730 years. Using this half-life we can calculate the decay constant of carbon. The half-life and decay constant related to each other as follows: [math]λ.

The half-life of cesium-137 is 30 years. Suppose we have a 100-mg sample. 04:14. The half-life of cesium- 137 is 30 years. Suppose we have a 100- mg sample. 06:29. The half-life of radioactive lead 210 is 21.7 years. (a) Find an exponent 04:26. The isotope 212 $\mathrm{Bi}$ has a half-life of 1.01 yr.. 1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance left at time t > 0 if Q(0) = 20 g. 2. The half-life of a radioactive substance is 2 days. Find the time required for a given amount of the material to decay to 1/10 of its original mass. 3 The relationship between the decay constant λ and the half-life t1/2 is. ( 2) t 1 / 2 ≈ 0.693 t 1 / 2. To see how the number of nuclei declines to half its original value in one half-life, let t = t1/2 in the exponential in the equation N = N0e−λt. This gives N = N0e−λt = N0e−0.693 = 0.500 N0

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