$\"\"$

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The function is $\"\"$ , where $\"\"$ is the length of the radius in meters, $\"\"$ is a constant( $\"\"$ meters), and $\"\"$ is the molecular mass.

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(a)

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Find the molecular mass of sodium.

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Nuclear radius of sodium $\"\"$ meters.

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Consider $\"\"$ .

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Solve for $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in above formula.

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$\"\"$

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Thus, the molecular mass of sodium is $\"\"$ grams/mol.

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$\"\"$

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(b)

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Approximate nuclear radius of an element is $\"\"$ meters.

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Consider $\"\"$ .

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Equate $\"\"$ values.

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$\"\"$

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Substitute $\"\"$ in above equation.

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$\"\"$

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The molecular mass of the element is $\"\"$ grams/mol.

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Observe the given table, the element Iodine(I) has the same molecular mass.

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Thus, the element is Iodine(I).

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$\"\"$

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(c)

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Find the ratio of the nuclear radius of two elements.

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Let the molecular masses of two elements are $\"\"$ and $\"\"$ .

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Let nuclear radius of two elements be $\"\"$ and $\"\"$ .

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Ratio of the molecular masses of two elements is $\"\"$ .

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Consider $\"\"$ .

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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Thus, ratio of the nuclear radius of two elements is $\"\"$ .

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$\"\"$

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(a) The molecular mass of sodium is $\"\"$ grams/mol.

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(b) The element is Iodine(I).

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(c) Ratio of the nuclear radius of two elements is $\"\"$ .