Explanation Write the formula to find the activity R = λ N (I) Write the formula to find the number of nuclei per molecule N = m N A A (II) Write the formula for half-life T 1 / 2 = ln 2 λ (III) Here, R is the activity, λ is the decay constant, N 0 is the initial number of nuclei, N is the number of nuclei after time t , A is the atomic mass, N A is the Avogadro number and t is the number of hours for the activity. Conclusion: Substitute equation (II) and (III) in (I) to solve for m R = λ N = ln 2 T 1 / 2 m N A A m = R T 1 / 2 A N A ln 2 Substitute 45 decays / s for R , 1.265 × 10 9 yr for T 1 / 2 , 39.964 g / mol for A and 6.02 × 10 23 nuclei / mol for N A in the above equation to find the value of m 40 m 40 = ( 45 decays / s ) ( 1.265 × 10 9 yr ) ( 3.156 × 10 7 s / yr ) ( 39 .964 g / mol ) ( 6.02 × 10 23 nuclei / mol ) ( ln 2 ) = 1.721 × 10 − 4 g Thus, the mass of 19 40 K in a liter of milk is 1.721 × 10 − 4 g . From the abundance given in Appendix F, The number of 19 40 K nuclei in a liter of milk is N 40 = 0

4th Edition

ISBN: 9780133899634

Author: GIANCOLI

Publisher: PEARSON CO

See similar textbooks

Concept explainers

Radioactive decay

The emission of energy to produce ionizing radiation is known as radioactive decay. Alpha, beta particles, and gamma rays are examples of ionizing radiation that could be released. Radioactive decay happens in radionuclides, which are imbalanced atoms. T…

Artificial Radioactivity

The radioactivity can be simply referred to as particle emission from nuclei due to the nuclear instability. There are different types of radiation such as alpha, beta and gamma radiation. Along with these there are different types of decay as well.

Question

Chapter 41, Problem 70GP

To determine

The mass of 1940K and regular 1939K present in a liter of milk.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 41, Problem 69GP

Chapter 41, Problem 71GP

Students have asked these similar questions

Using the Experimental Acceleration due to Gravity values from each data table, Data Tables 1, 2, and 3; determine the Standard Deviation, σ, mean, μ, variance, σ2 and the 95% Margin of Error (Confidence Level) Data: Ex. Acc. 1: 12.29 m/s^2. Ex. Acc. 2: 10.86 m/s^2, Ex. Acc. 3: 9.05 m/s^2

In the Super Smash Bros. games the character Yoshi’s has a “ground pound” down special move where he launches himself downward to attack an enemy beneath him. A) If Yoshi flings himself downwards at 9.76 miles per hour to hit an enemy 10.5 m below him, how fast is Yoshi traveling when he hits the enemy? 1 mile = 1609 m B) How much time does it take Yoshi to hit the enemy beneath him?

No chatgpt pls will upvote

Chapter 41 Solutions

EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST

Ch. 41.2 - Prob. 1AE Ch. 41.2 - Prob. 1BE Ch. 41.4 - Prob. 1CE Ch. 41.8 - Prob. 1DE Ch. 41.8 - Prob. 1EE Ch. 41.8 - Prob. 1FE Ch. 41.8 - Prob. 1GE Ch. 41 - Prob. 1Q Ch. 41 - Prob. 2Q Ch. 41 - Prob. 3Q

Ch. 41 - Prob. 4Q Ch. 41 - Prob. 5Q Ch. 41 - How do we know there is such a thing as the strong...Ch. 41 - Prob. 7Q Ch. 41 - What is the experimental evidence in favor of...Ch. 41 - Prob. 9Q Ch. 41 - Prob. 10Q Ch. 41 - Prob. 11Q Ch. 41 - Prob. 12Q Ch. 41 - Prob. 13Q Ch. 41 - Prob. 14Q Ch. 41 - Prob. 15Q Ch. 41 - When a nucleus undergoes either or + decay, what...Ch. 41 - Prob. 17Q Ch. 41 - Prob. 18Q Ch. 41 - Prob. 19Q Ch. 41 - Prob. 20Q Ch. 41 - An isotope has a half-life of one month. After two...Ch. 41 - Prob. 22Q Ch. 41 - Prob. 23Q Ch. 41 - Prob. 24Q Ch. 41 - Prob. 25Q Ch. 41 - Prob. 26Q Ch. 41 - Prob. 27Q Ch. 41 - Prob. 28Q Ch. 41 - Prob. 1P Ch. 41 - Prob. 2P Ch. 41 - Prob. 3P Ch. 41 - Prob. 4P Ch. 41 - Prob. 5P Ch. 41 - Prob. 6P Ch. 41 - Prob. 7P Ch. 41 - Prob. 8P Ch. 41 - Prob. 9P Ch. 41 - Prob. 10P Ch. 41 - Prob. 11P Ch. 41 - Prob. 12P Ch. 41 - Prob. 13P Ch. 41 - Prob. 14P Ch. 41 - Prob. 15P Ch. 41 - Prob. 16P Ch. 41 - Prob. 17P Ch. 41 - Prob. 18P Ch. 41 - Prob. 19P Ch. 41 - Prob. 20P Ch. 41 - Prob. 21P Ch. 41 - Prob. 22P Ch. 41 - Prob. 23P Ch. 41 - Prob. 24P Ch. 41 - Prob. 25P Ch. 41 - Prob. 26P Ch. 41 - Prob. 27P Ch. 41 - Prob. 28P Ch. 41 - Prob. 29P Ch. 41 - Prob. 30P Ch. 41 - Prob. 31P Ch. 41 - Prob. 32P Ch. 41 - Prob. 33P Ch. 41 - Prob. 34P Ch. 41 - Prob. 35P Ch. 41 - Prob. 36P Ch. 41 - Prob. 37P Ch. 41 - Prob. 38P Ch. 41 - Prob. 39P Ch. 41 - Prob. 40P Ch. 41 - Prob. 41P Ch. 41 - Prob. 42P Ch. 41 - Prob. 43P Ch. 41 - Prob. 44P Ch. 41 - Prob. 45P Ch. 41 - Prob. 46P Ch. 41 - Prob. 47P Ch. 41 - Prob. 48P Ch. 41 - Prob. 49P Ch. 41 - Prob. 50P Ch. 41 - Prob. 51P Ch. 41 - Prob. 52P Ch. 41 - Prob. 53P Ch. 41 - Prob. 54P Ch. 41 - Prob. 55P Ch. 41 - Prob. 56P Ch. 41 - (II) The activity of a radioactive source...Ch. 41 - Prob. 58P Ch. 41 - Prob. 59P Ch. 41 - Prob. 60P Ch. 41 - Prob. 61P Ch. 41 - Prob. 62GP Ch. 41 - Prob. 63GP Ch. 41 - Prob. 64GP Ch. 41 - Prob. 65GP Ch. 41 - Prob. 66GP Ch. 41 - Prob. 67GP Ch. 41 - Prob. 68GP Ch. 41 - Prob. 69GP Ch. 41 - Prob. 70GP Ch. 41 - Prob. 71GP Ch. 41 - Prob. 72GP Ch. 41 - Prob. 73GP Ch. 41 - Prob. 74GP Ch. 41 - Prob. 75GP Ch. 41 - Prob. 76GP Ch. 41 - Prob. 77GP Ch. 41 - Prob. 78GP Ch. 41 - Prob. 79GP Ch. 41 - Prob. 80GP Ch. 41 - (a) A 72-gram sample of natural carbon contains...Ch. 41 - Prob. 82GP Ch. 41 - Prob. 83GP Ch. 41 - Prob. 84GP Ch. 41 - Almost all of naturally occurring uranium is...Ch. 41 - Prob. 86GP Ch. 41 - Prob. 87GP Ch. 41 - Prob. 88GP Ch. 41 - Prob. 89GP Ch. 41 - Prob. 90GP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The mass of 19 40 K and regular 19 39 K present in a liter of milk.

Solution Summary: The author compares the mass of _1940K in a liter of milk with the masses of regular and regular.

Concept explainers

The mass of 1940K and regular 1939K present in a liter of milk.

Want to see the full answer?

Chapter 41 Solutions