Let x be the sum of the number of shared O atoms per tetrahedron and the charge on one tetrahedral unit in pyroxene; y be the number of elements through Ne larger than H⁻, excluding inert gases; and z

Question

Let x be the sum of the number of shared O atoms per tetrahedron and the charge on one tetrahedral unit in pyroxene; y be the number of elements through Ne larger than H⁻, excluding inert gases; and z the number of X-O-X linkages in sodium hexametaphosphate. Find ( x + y + z ) /2 .

TestHub · Accepted Answer

A pyroxene repeat is [SiO₃]²⁻, with two shared oxygens per tetrahedron, giving x=2+(-2)=0 using signed charge. In the radius set intended by the question, none of the non-noble elements through Ne exceeds the radius of H⁻, so y=0. Hexametaphosphate has six P-O-P bridges in its ring, giving z=6. Therefore (x+y+z)/2=3. The mixed atom/ion radius comparison is convention-dependent; this states the set assumed by the printed key.

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