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(A) The average mass of an element is calculated by taking the weighted average of the masses of its isotopes based on their relative abundances.Given

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$0.2 m_1 + 0.3 m_2 + 0.5 m_3$

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(A) The average mass of an element is calculated by taking the weighted average of the masses of its isotopes based on their relative abundances.Given the ratio of abundances is $2:3:5$,the total parts are $2 + 3 + 5 = 10$.The fractional abundances are:For isotope $A$: $2/10 = 0.2$For isotope $B$: $3/10 = 0.3$For isotope $C$: $5/10 = 0.5$The average mass is given by the formula: $	ext{Average Mass} = (	ext{fraction}_A 	imes m_1) + (	ext{fraction}_B 	imes m_2) + (	ext{fraction}_C 	imes m_3)$.Substituting the values: $	ext{Average Mass} = 0.2 m_1 + 0.3 m_2 + 0.5 m_3$.

An element consists of a mixture of three isotopes $A$,$B$,and $C$ of masses $m_1$,$m_2$,and $m_3$ respectively. If the relative abundances of the three isotopes $A$,$B$,and $C$ are in the ratio $2:3:5$,the average mass of the element is:

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