a. How many neutrons are in K-41 ? b. If John's potato field has an area of 34.5 hectares, how m

step 1 We're going to look at potassium as the symbol K. So the number of neutrons that are present. Ne

A. How many neutrons are in K-41 ? b. If John's potato field...

a. How many neutrons are in $\mathrm{K}-41$ ? b. If John's potato field has an area of $34.5$ hectares, how many pounds of fertilizer does John need to use? c. Potassium has three naturally occurring isotopes. They are K-39 (93.26\%, $38.964$ amu), K-40 (0.0117\%, $39.964 \mathrm{amu})$, and $\mathrm{K}-41(6.73 \%, 40.962 \mathrm{amu})$. Calculate the atomic mass for potassium from the naturally occurring isotopes and percentage abundance using the weighted average mass method.

a. How many neutrons are in $\mathrm{K}-41$ ?
b. If John's potato field has an area of $34.5$ hectares, how many pounds of fertilizer does John need to use?
c. Potassium has three naturally occurring isotopes. They are K-39 (93.26\%, $38.964$ amu), K-40 (0.0117\%, $39.964 \mathrm{amu})$, and $\mathrm{K}-41(6.73 \%, 40.962 \mathrm{amu})$. Calculate the atomic mass for potassium from the naturally occurring isotopes and percentage abundance using the weighted average mass method.

Key Concepts

Unit Conversions

Unit conversions involve changing a measurement from one unit to another using conversion factors. In contexts where quantities are measured in differing units—such as area or mass—this concept ensures the correct calculation of amounts by matching units appropriately.

Percentage Abundance

Percentage abundance refers to the proportion of a particular isotope present in a natural sample of an element, expressed as a percent of the total elemental composition. This concept is essential in calculating the weighted average atomic mass, as it indicates the contribution of each isotope based on its frequency.

Neutron Number Calculation

This concept involves determining the number of neutrons in an isotope by subtracting the atomic number (number of protons) from the mass number (total number of protons and neutrons). It's a fundamental calculation in nuclear chemistry used to classify isotopes and understand nuclear properties.

Isotopes

Isotopes are variants of a particular chemical element that have the same number of protons but different numbers of neutrons in their nuclei. This concept explains that while the element's identity is preserved by the proton count, variations in the number of neutrons result in different mass numbers, impacting their atomic masses and stability.

Weighted Average

The weighted average is a mathematical method used to combine values that contribute to a total in proportion to their relative frequencies or amounts. In atomic mass determination, each isotope’s mass is multiplied by its natural abundance factor, and the results are summed to yield the element's average atomic mass.

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