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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3mc018

Consider $0.5$ mol of aluminium sulfate, $Al X_{2} (SO X_{4}) X_{3}$ (Al = 27, S = 32, O = 16). Which of the following statements is/are correct?

AIt contains $1.5$ mol of $Al X^{3 +}$ ions.
BIt contains $6.0 N_{A}$ oxygen atoms.
CIt contains $1.5$ mol of $SO X_{4} X^{2 -}$ ions.
DThe mass of the sample is $171 g$ .

Answer: B, C, D

M = 54 + 96 + 192 = 342 g mo l^{- 1}

, so mass

= 0.5 \times 342 = 171 g

. Oxygen atoms

= 0.5 \times 12 = 6 N_{A}

.

Al X^{3 +}

ions

= 0.5 \times 2 = 1.0

mol (not 1.5), and sulfate ions

= 0.5 \times 3 = 1.5

mol.

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