The isotope carbon-14, 14/6C, is radioactive and has a half-life of 5 730 years. If you start with a sample of 1 000 carbon-14 nuclei, how many nuclei will still be undecayed in 25 000 years?

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: Given data :- N0 = 135 gT = 3.t1/2  ;  t1/2 being the half life of isotope

Q: Carbon-4 is an isotope of carbon thát is formed when radiation from the sun strikes ordinary carbon…

A: Given,

Q: The half-life of Carbon-14 is 7 years. How much of an initial 168 g sample will remain after 30…

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Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: Let the initial amount of carbon be N0=100%. 63.2% carbon is lost, hence remaining carbon is…

Q: Atree falls in a forest. How many years must pass before the carbon-14 mass in the tree’s carbon…

A: Suppose the carbon-14 mass in tree = n0  After few years the carbon-14 mass = n = 3.125100n0…

Q: The half-life of carbon-14 is 5730 years. If 6.25% of the original sample remains, how old is the…

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Q: The half life of Thorium is 75,000 years. How much of the substance will be left after 3 half lives

A: Let initial amount of substance is m. The half life is T= 75000 years.

Q: A sample from a meteorite that landed on Earth has been analyzed, and the result shows that out of…

A: N=N0e-λt→1 T12=ln2λ ⇒λ=ln2T12=0.6931.3×109=0.533×10-9years-1

Q: 24.) Consider cobalt-60 with a half-life of 5.25 years. How many years will it take for its activity…

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Q: one-eighth of a radioactive element remains after 600 years, what is that elements half-life?

A: Let initial number of nucleus = No  remaining number of nucleus = N = No /8  Time taken t = 600…

Q: A particular isotope has a​ half-life of 1700 years. If you start with 1 kilogram of this​ isotope,…

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Q: A sample of carbon-14 has been decaying for 22 920 years and is now 35,0 grams. (The half-life of…

A: Decay constant and half life are related as,  k=0.693t12

Q: the year 2005, a picture supposedly painted by a famous artist some time after 1555 but before 1605…

A: Let total time taken =t

Q: A sample from human remains found near Stonehenge in England shows that 71.2% of the carbon-14 still…

A:

Q: Source A has a half-life of 10 million years, and source B has a half-life of 5 million years. After…

A: Given information :- half life of source A = 10 million years half life of source B = 5 million…

Q: The half life of carbon-14 is approximately 6000 years. How long will it take a sample of carbon-14…

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Q: A radioactive isotope has a​ half-life of about 17 ​years, which means that if it starts with 1 kg…

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Q: A human skeleton found at an archeological site is found to have on 1/10 the amount of Carbon-14 one…

A: Given, N= 1/10=0.1 No= 1 T= 5730years We know that, N= No(1/2)t/T

Q: Carbon-14 is a radioactive element present in living organisms. After an organism dies, the amount A…

A: Given that: Half life of C14, T1/2=5730 yearN(t)=15%NoN(t)=0.15No

Q: Radioactive isotopes can be used to find the age of rocks, fossils, or other artifacts. Carbon-14…

A: Given that                      The half life of the C-14 is t12 = 5730 years and a sample of a…

Q: piece of fossilized wood has a carbon 14 radioactivity that is one eighth that of new wood. The…

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Q: a parent isotope has a half-life of 500,000 years. if a rock contained 10mg of the parent isotope…

A: Write the expression for the quantity left after time t. Here, No represents the original quantity,…

Q: Elemental carbon has 6 protons and 6 neutrons. This is often described as carbon-12. Carbon-13 has 6…

A: Mass Number = Number of protons + Number of neutrons For Plutonium: Mass Number = 244 Number of…

Q: Potassium-40 decays to form Argon-40. The half-life of potassium-40 is 1.3 billion years. A mineral…

A: Given : Potassium-40 decays to Argon-40 Half life of potassium-40, t = 1.3 billion years Initial…

Q: An artifact was found and tested for its carbon-14 content. If 89% of the original carbon-14 was…

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Q: A piece of carbon-14 that originally had a mass of 2 kg is later found to have a mass of 1.75 kg…

A: Given: The initial mass of the sample is 2 kg. The final mass of the sample is 1.75 kg.

Q: What is critical mass?

A: Radioactivity is the process by which an unstable nucleus converts into a stable nucleus. There are…

Q: The nuclear process whereby multiple hydrogen atoms are combined under intense pressure and high…

A: Fission- When a neutron collides with a larger atom, it causes it to excite and split into two…

Q: if the amount of the parent isotope in the original sample of a rock had been 48 grams, about how…

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Q: If the half-life of an isotope is two years, what fraction of the isotope remains after six years

A: Amount of radioactive material after time t is given by: N = N0*exp(-lambda*t) lambda = decay…

Q: Why does nuclear fusion only happen at temperatures and pressures?

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Q: A radioactive isotope has a half-life of 1.2 billion years. As measured by the presence of the…

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Q: Skeletal remains had lost 79% of the C-14 they originally contained.  Determine the approximate age…

A: The expression for the amount left after time t is,

Q: What kind of nuclear power is responsible for sunshine?

A: Reason for sunshine

Q: There are two isotopes of carbon. Carbon-14 is radioactive. Carbon-12 is stable. The half life of…

A: C-14 is the radioactive material and its half life time is 5730 yrs, therefore it decays with a…

Q: The half life of C-14 is 5730 years.  What percentage of C-14 remains 4850 years after a living…

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Q: What is the difference between nuclear fission and nuclear fusion?  Which one is used in our nuclear…

A: Nuclear Fission: Nuclear fission is stated as the process that occurred at room temperature in which…

Q: The abundance of 40K is 0.012% of total natural potassium. The human body is 0.25% potassium by…

A: Since, the 70 kg human body has 0.25% of potassium by weight in which percentage of 19K40 is further…

Q: Krypton-81 has a half-life of 2.29 × 105 years. A 750-mg sample of Krypton-81 undergoes electron…

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Q: A rock sample contains a radioactive isotope that has a half-life of 10,000 years. One-fourth (25%)…

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Q: The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

A:

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: Given, Half life of radioactive element carbon-14 element ,t1/2 = 5750 years A scientist determined…

Q: the half-life of Uranium-238 is 4.46 × 109 years. If a sample of mass 10kg is thought to have formed…

A:

Q: The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

A: Given: half life  t1/2=5600 yearslet initial amount = Aofinal amount = 68% of Ao=0.68 Ao

Q: How many Hydrogen atoms have to be transformed by following nuclear reaction to produce an energy of…

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Q: Carbon-14 is a radioactive element with a half-life of about 5730 years. Carbon-14 is said to decay…

A: The formula for the decay constant is: Substitute the known values and solve.

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.