   Chapter 33, Problem 49PE

Chapter
Section
Textbook Problem

Integrated ConceptsSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?

To determine

(a)

The amount of water needed to see one decay per month with a life time of 1031 years.

Explanation

Given:

Given life time is 1031 years.

Calculation:

The requirement is one decay per month. So, for a life time of 1031 years, number of protons

required is 12×1031 protons. Since only 50% of protons are decayed, number of protons

required is 24×1031 protons.

Since H2O contains 10 protons number of water molecules required is 24×1030.

Mass of 6

To determine

(b)

To convert 7.173×105 kg of water into cubic meters.

To determine

(c)

The time we have to wait on an average to see a single proton decay if the actual life time

is 1033 years.

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