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AP Chemistry
2.4 Structure of Metals and Alloys
AdvancedMCQMathematicalProportional AnalysisConceptual24.1k
A materials student models two solid alloys of a hypothetical metal \(M\), which has an atomic radius of \(140\text{ pm}\) and a molar mass of \(56\text{ g/mol}\). In the model, a solute is predicted to occupy a substitutional site when \(0.85\leq \dfrac{r_{\text{solute}}}{r_M}\leq 1.15\), whereas a solute can fit into an ideal octahedral interstitial site when \(\dfrac{r_{\text{solute}}}{r_M}\leq 0.414\).

AlloyCompositionSolute radiusSolute molar mass
\(P\)Replace \(1\) of every \(10\) atoms of \(M\) with \(X\)\(133\text{ pm}\)\(52\text{ g/mol}\)
\(Q\)Add \(1\) atom of \(Y\) for every \(10\) atoms of \(M\)\(56\text{ pm}\)\(16\text{ g/mol}\)

Measurements indicate that the two alloys have the same volume per \(10\) original host-lattice sites. All other microstructural features that affect malleability are held constant. Which row correctly compares the density and malleability of the two alloys?

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