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K+is an electrolyte required by the human body and found in many foods as well as salt substitutes. One of the isotopes of potassium is potassium-40, which has a natural abundance of 0.012%and a half-life of 1.30109yr. The isotope potassium-40decays to calcium40or to argon-40. A typical activity for potassium-40is 7.0渭颁颈per gram.(5.2,5.3,5.4)


Potassium chloride is used as a salt substitute.

a. Write a balanced nuclear equation for each type of decay and identify the particle emitted.

b. A shaker of salt substitute contains 1.6ozof K. What is the activity, in millicuries and becquerels, of the potassium in the shaker?

Short Answer

Expert verified

a. A balanced nuclear equation isK1940Ar1840+e+10.

b. The activity is1.671012Bq.

Step by step solution

01

Part (a) step 1: Given Information 

We need to write a balanced nuclear equation for each type of decay and identify the particle emitted.

02

Part (a) step 2: Simplify

Beta-decay:

K1940C2040a+e-10

Positron emission:

K1940Ar1840+e+10

03

Part (b) step 1: Given Information 

We need to find the activity, in millicuries and becquerels, of the potassium in the shaker.

04

Part (b) step 2: Simplify

Consider:

Activity=7mCigmass=1.6ozK

1oz=28.34g1.6ozK=1.628.34g=45.344g

1Ci=3.71010A=45.3443.71010=1.671012Bq

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