A given compound decomposes with a half-life of 8.0 s and the half-life is independent of the initial concentration. How long does it take for the concentration to decrease to one-ninth of its initial value? 64 s 25 s 32 s 72 s O 00 O

A given compound decomposes with a half-life of 8.0 s and the half-life is independent of the initial concentration. How long does it take for the concentration to decrease to one-ninth of its initial value? 64 s 25 s 32 s 72 s O 00 O

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter11: Chemical Kinetics: Rates Of Reactions

Section: Chapter Questions

Problem 41QRT

See similar textbooks

Related questions

Q: Americium-241 is used in smoke detectors. It has a first order rate constant for radioactive decay…

A: Half-life of americium-241 is 432.2 years Therefore, time = 3×432.2 years = 1296.7 years

Q: A particular reactant decomposes with a half-life of 159 s when its initial concentration is 0.288…

A: In a zero order reaction, half life is proportional to the initial concentration reactant. In a…

Q: Drug X has an expiration date that is 1.5 years after the date it was manufactured. Drug X…

A: Integral equation for first order of reaction:For first order reaction:…

Q: The Hydrogen isotope, tritium, is radioactive and has a half-life of 12.5 years. What percentage of…

Q: Two gases X and Y are found in the atmosphere in only trace amounts because they decompose quickly.…

A: Given, held life of X is 1.5 h and y is 135 min Partial pressure of X is 75% greater than Y

Q: For which order of reaction is the half life independent of the initial concentration of the…

Q: 43. Both technetium-99 and thallium-201 are used to image heart muscle in patients with suspected…

A: The half-life and the final concentration of a reaction is related as :

Q: The rate constant for the decay of a radioactive element is 2.03 × 10⁻³ day⁻¹. What is the half-life…

Q: Radioactive decay is a first order process. If the half-life of 222Rn is 3.8 days, approximately how…

Q: 2. Iron-59 in the form of iron (II) citrate is used in iron metabolism studies. Its half-life is…

Q: The half-life for the radioactive decay of C-14 is 5730 years and is independent of initial…

Q: Both technetium-99 and thallium-201 are used to image heart muscle in patients with suspected heart…

A: The half-life and the final concentration of a reaction is related as:

Q: What percentage of the radioactive iodine-131 will be left after 25 days if its decomposition…

A: In first-order kinetics, the rate of reactions of chemical reactions are dependent on one of the…

Q: Radioactive decay is measured in terms of "half-life", which is the number of years required for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The radioactive decay follows first-order rate law and for the radioisotope, Sr-90. its half-life…

A: Given: t12=28 years% of sample decompoed=87.5% To find Time for sample to decompose

Q: What is the half-life for the first-order decay of carbon-14? (146C⟶147N+e−)(614C⟶714N+e−) The rate…

A: Rate constant for the decay (k) = 1.21×10-4 year-1

Q: 7. If the half-life for the decomposition of a drug is 6 hours, how long will it take for 125 mg of…

A: Half life = 6 hours Initial quantity = 125 mg Quantity left after time t = 70% (125) mg

Q: Radioactive gold-198 is used in the diagnosis of liver problems. The half-life of this isotope is…

A: Radioactive disintegration reactions are first order reactions. Half life of first order reaction is…

Q: The rate constant for the decay of a radioactive element is 1.88 x 103 day1. What is the half-life…

A: Given that the decay constant of radioactive element is 1.88×10-3 day-1 To determine the half-life…

Q: A substance undergoes first-order decomposition. After 28 min at 500°C, only 12.5% of the original…

Q: 1) The decomposition of N2O5 is an important process in the atmosphere. The half life is 2.05 x 10ʻ…

A: It is an example of first order kinetic reaction Here we are required to find the time for a sample…

Q: The half-life of radium-226 is 1.60x103 yr. How many hours will it take for a 5.00-g sample to decay…

A: Given: Initial mass of radium = 5.00 g Final mass of radium remaining = 0.185 g And half life of…

Q: Geologists can estimate the age of rocks by their uranium-238 (U-238) content. The uranium is…

A: From the first order reaction rate constant, the age of rock is calculated as,

Q: 57. The half-life for the radioactive decay of U-238 is 4.5 billion years and is independent of…

A: Radio-active decay follows first order kinetics. The integrated rate equation for the first order…

Q: he half-life for the radioactive decay of C-14C-14 is 5730 years. a) How long will it take for 25 %…

A: Radioactive decay is a spontaneous break down of an atomic nucleus, it follows first order kinetics…

Q: The decomposition of ethane, C2H6, to methyl radicals has a rate constant of 5.36 x 104 per second…

Q: how long (in minutes) would it take for the amount of 41Ar to decrease to 54.04% of its initial…

Q: A first order decomposition reaction has a half-life of 60.1 yr. What percentage of the original…

Q: What is the integrated rate law for this decay process? The decay of radioactive copper-64 follows…

A: Given: The kinetics follow first-order. And the half-life = 12.8 hours.

Q: Radioactive gold-198 is used in the diagnosis of liver problems. The half- life of this isotope is…

A: First using given value determine the rate constant, k value. t1/2=2.7…

Q: The rate constant for the decay of a radioactive element is 6.70 × 10⁻³ day⁻¹. What is the half-life…

A: Half life is the time taken for a radioac Radioactive decays are first order reaction.

Q: Since radioactive decay is a first-order process, the decay rate for a particular nuclide is…

A: Molar mass of KCl = 74.55 g /mole Mass of KCl = 1 g Moles of KCl = MassMolar mass=1 g74.55…

Q: Radioactive gold-198 is used in the diagnosis of liver problems. The half-life of the isotope is 2.7…

Q: A certain signal molecule S in brain tissue is degraded by two different biochemical pathways: when…

A: Half life is the time taken for a radioactive material to decay to half of its initial size.

Q: Radioactive gold-198 is used in the diagnosis of liver problems. The half-life of this isotope is…

Q: 3. The rate constant for the reaction of A₂ → 2A is 5.72 x 10⁰ a. If the initial concentration of A₂…

Q: A particular reactant decomposes with a half‑life of 151 s when its initial concentration is 0.385…

A: By hit and trail method assume that the given rection is of second order. The rate constant value…

Q: Radioactive gold-198 is used in the diagnosis of liver problems. The half-life of this isotope is…

A: Radioactive gold-198 is used in the diagnosis of liver problems. t1/2 = 2.7 days m0 = 5.6 mg How…

Q: Radioactive gold-198 is used in the diagnosis of liver problems. The half-life of this isotope is…

Q: Calculate the half life when the rate is 6.2x10^-4

Q: 11.What is a reaction for which half-life would be applicable? a.14/6C→14/7N+0/−1e…

A: option a first option is the answer half life for radioactive C14 is applicable in this reaction…

Q: Two gases .I' and I are found in the atmosphere in only trace amounts because they decompose…

A: Solutions A) yes B) 4.7 hours

Q: gallium-67? What are the units for k?

A: Half life time(t1/2) = 78.25 hrs Aa we know Radioactive decay follows first order kinetics Rate…

Q: The rate constant for the decay of a radioactive element is 6.37 × 10⁻³ day⁻¹. What is the half-life…

Q: 37. What is the half-life for the first-order decay of carbon-14? (614C⟶714N+e−) The rate constant…

Q: A substance undergoes first-order decomposition. After 37 min at 500°C, only 12.5% of the original…

A: The integrated rate equation for first order reaction is k = 2.303tlog[R]o[R] k = rate constant t =…

Q: The rate constant for the decay of a radioactive isotope is 4.234 x 103/day. What is the half-life…

Q: The radioactive isotope 99mTc (used in medical stress tests) decays via gamma emission following…

A: The time taken to reach the final value can be calculated as follows : t = 2.303/K * log [A]o/[A]…

Q: O3Ni decays by a first-order process via the emission of a beta particle. The 63NI isotope has a…

Q: A substance undergoes first-order decomposition. After 53 min at 500°C, only 12.5% of the original…

Question

A given compound decomposes with a half-life of 8.0 s and the half-life is independent of the initial concentration. How long does it take for the concentration to
decrease to one-ninth of its initial value?
64 s
25 s
32 s
72 s
O 00 O

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 Given

VIEW

Step 2 Solution

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

Similar questions

The half-life of tritium, 3H, is 12.26 years. Tritium is the radioactive isotope of hydrogen. (a) What is the rate constant for the radioactive decay of tritium, in y1 and s1? (b) What percentage of the original tritium is left after 61.3 years?
Both technetium-99 and thallium-201 are used to image heart muscle in patients with suspected heart problems. The half-lives are 6 h and 73 h, respectively. What percent of the radioactivity would remain for each of the isotopes after 2 days (48 h)?
Iodine-131 is used to treat tumors in the thyroid. Its decomposition is first-order with a half-life of 8.1 days. If a patient is given a sample containing 5.00 mg of I-131, how long will it take for 32% of the isotope to remain in her system?
Radioactive gold-198 is used in the diagnosis of liver problems. 198Au decays in a first-order process, emitting a particle (electron). The half-life of this isotope is 2.7 days. You begin with a 5.6-mg sample of the isotope. Calculate how much gold-198 remains after 1.0 day.
The decomposition of dinitrogen pentaoxide N2O5(g) 2 NO2(g) + O2(g) has the following rate equation: Rate = k[N2O5]. It has been found experimentally that the decomposition is 20.5% complete in 13.0 hours at 298 K. Calculate the rate constant and the half-life at 298 K.
The decomposition of gaseous dimethyl ether at ordinary pressures is first-order. Its half-life is 25.0 minutes at 500 C: CH3OCH3(g) CH4(g) + CO(g) + H2(g) (a) Starting with 8.00 g of dimethyl ether, what mass remains (in grams) after 125 minutes and after 145 minutes? (b) Calculate the time in minutes required to decrease 7.60 ng (nanograms) to 2.25 ng. (c) What fraction of the original dimethyl ether remains after 150 minutes?
A substance undergoes first-order decomposition. After 40.0 min at 500°C, only 12.5% of the original sample remains. YYliat is the half-life of the decomposition? If the original sample weighed 243 g, how much would remain after 2.00 h?
Consider the first-order decomposition of phosgene at a certain temperature. COCl2(g)productsIt is found that the concentration of phosgene is 0.0450 M after 300 seconds and 0.0200 M after 500 seconds. Calculate the following: (a) the rate constant at the temperature of the decomposition (b) the half-life of the decomposition (c) the intial concentration of phosgene
When formic acid is heated, it decomposes to hydrogen and carbon dioxide in a first-order decay: HCOOH(g)CO2(g)+H2(g) The rate of reaction is monitored by measuring the total pressure in the reaction container. Time (s) Pressure (torr) 0 220 50 324 100 379 150 408 200 423 250 431 300 435 Calculate the rate constant and half-life in seconds for the reaction. At the start of the reaction (time = 0), only formic acid is present. (HINT: Find the partial pressure of formic acid using Dalton's law of partial pressure and the reaction stoichiometry to find PHCOOH at each time.)
11.44 A possible reaction for the degradation of the pesticide DDT to a less harmful compound was simulated in the laboratory. The reaction was found to be first order, with k = 4.0 X 10_H s"' at 25°C. What is the half-life for the degradation of DDT in this experiment, in years?
The hypothetical reaction QR+Xproductswas monitored at 27C as a function of time. The following plots are obtained: (a) Write the rate expression for the reaction. (b) What is the rate constant if the rate of the reaction is 0.29 mol/L min when [ QR ]=[ X ]=1.000M? (c) What is the half-life for the consumption of QR when [ QR ]=0.0866M? (d) If the initial concentration of [ X ]=5.00M, what is [ X ] after 4.7 min?
Nitrosyl chloride (NOCI) decomposes to nitrogen oxide and chlorine gases. (a) Write a balanced equation using smallest whole-number coefficients for the decomposition. (b) Write an expression for the reaction rate in terms of [NOCl]. (c) The concentration of NOCl drops from 0.580 M to 0.238 M in 8.00 min. Calculate the average rate of reaction over this time interval.