A volcanic eruption melts a large chunk of rock, and all gases are expelled. After cooling, argon- 40 accumulates from the ongoing decay of potassium-40 (half-life of potassium-40 is 1.25 x 10° yr) in the rock. When a piece of rock is analyzed, it is found to contain 1.38 mmol of potassium- 40 and 1.14 mmol of argon-40. How long ago did the rock cool?

Q: How long does it take for a radioactive substance to decay from 360 cps to 11.25 cps if the…

A: Half-life is the time required for the reaction to be half completed. It is denoted by t1/2 . For a…

Q: Iodine-125 is a radioactive isotope commonly used in medicine. It has a half-life of 59.5 days. A…

A: Half life of iodine -125 = 59.5 daysInitial amount of iodine -125 = 2.00 kgFinal amount of iodine…

Q: 5) Uranium is radioactive and decays into lead. This process can be used to date rocks. A piece of…

A: Amount of Uranium in the rock = 3.8 x 10-3 g Amount of lead in the rock = 2.4 x 10-5 g Half life of…

Q: 29) a rock from the moon was found to contain 1.0 x 10* g (A,) of uranium-238 and 4.0 x 10“ g…

A: The half-life of a radioactive isotope (t1/2 ): All radioactive decay first-order reaction kinetics.…

Q: In addition to C-14, K-40 is often used for archeological dating. K-40 decays to Ar- 40 by positron…

A: The rate of radioactive decay has been proven to be of first order kinetics. Using the understanding…

Q: Rubidium-87 decays by B production to strontium-87 with a half life of 4.7 x 1010 years. What is the…

A:

Q: A 1.00-gram sample cantains two radioactive isotopes A and B. The half-life of isotope A is 2 hrs.…

A:

Q: A rock contains 0.232 g of Pb-206 to every 1.00 g of U-238. Determine the age of this rock assuming…

A:

Q: A tree sample was uprooted and buried 60,000 years ago during part of the Wisconsin glaciation. The…

A:

Q: rock contains 0.398 g of Pb-206 to every 1.00 g of U-238. Determine the age of this rock assuming…

A:

Q: Technetium-99m (the ‘m’ means a ‘metastable’ or moderately stable species) is generated in nuclear…

A: Use half life and date constant formula  Final mass= 125.95mg

Q: Iodine-125 (125I) is used to treat, among other things, brain tumors and prostate cancer. It decays…

A:

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

A:

Q: Potassium-40 decays to argon-40 with a half-life of 1.27 * 109 yr. What is the age of a rock in…

A: It is given that potassium-40 decays to Argon-40 and has a half-life of 1.27×109 years and the mass…

Q: A piece of charcoal from a tree killed by the volcanic eruption that formed the crater in Crater…

A: The radioactive decay follows first-order kinetics. We know that the half-life of carbon-14 is 5730…

Q: The half life for the decay of carbon-14 is 5.73 × 10³ years. Suppose the activity due to the…

A:

Q: Iodine-125 (¹251) is used to treat, among other things, brain tumors and prostate cancer. It decays…

A:

Q: You are working in a facility with a linear accelerator which may be used to measure the level of C…

A: Radioactive decay is a process in which unstable atomic nuclei emit energy in the form of…

Q: An archaeologist claims that a bone in her collection is from a saber-tooth tiger that is believed…

A:

Q: Consider the I-131 nucleus that is used to treat thyroid. Mass of I-131 is 130.78302 amu. 1) what is…

A: To answer questions regarding I-131 nucleus.

Q: PET scans require fluorine-18, wich is produced in a cyclotron and decays with a half-life of 1.83…

A: Given data,Half life(t1/2)=1.83hoursSpeed=60.0miles/hrLet initial concentration of F-18 be 100Final…

Q: A 0.935 L sample of HCI gas at 17 °C and 0.543atm was dissolved in enough water to make 0.622 M…

A: Volume of HCl = V = 0.935 L Temperature of HCl = T = 17 oC = 290 K    (since K = oC + 273) Pressure…

Q: lodine-125 is a radioactive isotope commonly used in medicine. It has a half-life of 59.5 days. A…

A: Given,

Q: radioactive isotope has an activity of 9.94×104 Bq initially. After 3.35 hours the activity is…

A:

Q: 2. A wooden object from an archeological site is subjected to radiocarbon dating. The activity of…

A:

Q: ubidium-87 decays by B production to strontium-87 with a half life of 4.7 x 1010 years. What is the…

A:

Q: carbon-14 activity

A: Given data, Basic equation is Ae = Ao x 0.5 (t / t1/2)   Therefore,

Q: A rock contains a Pb-206 to U-238 mass ratio of 0.473:1.00. Assuming the rock did not contain any…

A:

Q: The half life for the decay of carbon-14 is 5.73 × 10° years. Suppose the activity due to the…

A: Given: The half-life for the decay of carbon= 5.73×103 years The activity of fresh wood sample= 99…

Q: A sabretooth skeleton has a carbon-14 decay rate of 1.90 dis/min/g. If the carbon-14 decay rate in…

A:

Q: A bone has a carbon-14 decay rate of 4.98 disintegrations per minute per gram of carbon. If a living…

A: Solution : N0= 4.98 dpm N(t) = 15.3 dpm  t1/2 = 5715 years  t = ?

Q: Strontium-89 is a beta emitter with a half-life of 50.6 days that is used in bone cancer treatment.…

A: Radioactive decay follows first order kinetics. t1/2 = 0.693/k   (where, k = decay constant) t =…

Q: lodine-125 is a radioactive isotope commonly used in medicine. It has a half-life of 59.5 days. A…

A:

Q: Radioactive decay can be described by the following equation In A = In Ao - kt where Ao is the…

A:

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.