Holooly Plus Logo
Holooly Plus Logo

Question 12.9: A radioactive sample of mass 1.0 mg has a half-life of 1.0 h...

A radioactive sample of mass 1.0 mg has a half-life of 1.0 h, which means that about 50% of the 1-mg sample will decay in 1.0 h. What fraction decays in 2.0 h?

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.
The Blue Check Mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Subscribe

Already have an account?

Login

Related Answered Questions

Show that ^230 92 U does not decay by emitting a neutron or proton. Strategy The decays in question are (a) ^230 92 U → n + ^229 92 U and (b) ^230 92 U → p + ^229 91 Pa. We determine whether the decays occur by looking up the atomic masses in Appendix 8 and use Equation (12.29b) to see if Q is

Verified Answer:
(a) M\left({ }_{92}^{230} U \right)=230.033...

Show that the relations expressed for the disintegration energy Q in Equations (12.38), (12.41), and (12.44) are correct. Strategy We begin with the reaction for each of the beta decays (β^-, β^+, and EC) and change it to an energy equation. We neglect any neutrino mass and atomic binding energies

Verified Answer:
\beta ^{-} decay: We begin with [la...

Show that ^55Fe may undergo electron capture, but not β^+ decay. Strategy The two possible reactions are ^55 26 Fe → ^55 25 Mn + β^+ + ν β^+ decay ^55 26 Fe + e^- → 25 ^55 Mn + ν Electron capture We determine the disintegration energies Q for each reaction, Equations (12.41) and (12.44). The

Verified Answer:
We first find the masses from Appendix 8 needed to...

Find whether alpha decay or any of the beta decays are allowed for ^226 89 Ac. Strategy For each of the possible four reactions, we first write the reaction, list the disintegration energy Q equation, look up the appropriate masses, and calculate the disintegration energy Q. If Q > 0, the decay is

Verified Answer:
We outline the solution, but leave looking up the ...

Consider the γ decay from the 0.072-MeV excited state to the ground state of ^226Th at rest shown in Figure 12.16. Find an exact expression for the gamma-ray energy by including both the conservation of momentum and energy. Determine the error obtained by using the approximate value in Equation

Verified Answer:
We substitute the relation for the momentum p into...

Assume that all the ^206Pb found in a given sample of uranium ore resulted from decay of ^238U and that the ratio of ^206Pb/^238U is 0.60. How old is the ore? Strategy Let N0 be the original number of ^238U nuclei that existed. The ^238U nuclei eventually decay to ^206Pb, and the longest time in

Verified Answer:
The result for t from Equation (12.50) is   [...

A bone suspected to have originated during the period of the Roman emperors was found in Great Britain. Accelerator techniques gave its ^14C/^12C ratio as 1.10 × 10^-12. Is the bone old enough to have Roman origins? Strategy Remember that the initial ratio of ^14C/^12C at the time of death was

Verified Answer:
The number of { }^{14} C \text { atoms deca...

What is the minimum kinetic energy of a proton in a medium-sized nucleus having a diameter of 8.0 × 10^-15 m? Strategy We will use the uncertainty principle just as we did in Example 5.10, where we found the minimum kinetic energy for an electron in a nucleus. We use the uncertainty principle to

Verified Answer:
We start with the uncertainty principle involving ...

What is the nuclear radius of ^40Ca? What energy electrons and protons are required to probe the size of ^40Ca if one wants to “see” at least half the radius? Strategy We use Equation (12.2) to determine the radius of ^40Ca. From the radius we can determine the size of the probe, which subsequently

Verified Answer:
We determine R from Equation (12.2).   [latex...

Find the radii of the ^238U and ^4He nuclei and then determine the ratio of those radii. Strategy We use Equation (12.2) to determine the radii and then the ratio for the two nuclei.

Verified Answer:
\begin{aligned}&R\left({ }^{238} U \rig...