K 2 SO 4 ⋅ Cr 2 SO 4 3 ⋅ 12 H 2 O

K 2 SO 4 ⋅ Cr 2 SO 4 3 ⋅ 6 H 2 O

K 2 SO 4 ⋅ Cr 2 SO 4 3 ⋅ 24 H 2 O

K 2 SO 4 ⋅ Cr 2 SO 4 3 ⋅ 18 H 2 O

K 2 SO 4 ⋅ Cr 2 SO 4 3 ⋅ 12 H 2 O

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Chrome alum is

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$\begin{aligned} K_{2} {SO}_{4} \cdot {Cr}_{2} {({SO}_{4})}_{3} \cdot 6 H_{2} O \end{aligned}$

$\begin{aligned} K_{2} {SO}_{4} \cdot {Cr}_{2} {({SO}_{4})}_{3} \cdot 24 H_{2} O \end{aligned}$

$\begin{aligned} K_{2} {SO}_{4} \cdot {Cr}_{2} {({SO}_{4})}_{3} \cdot 18 H_{2} O \end{aligned}$

$\begin{aligned} K_{2} {SO}_{4} \cdot {Cr}_{2} {({SO}_{4})}_{3} \cdot 12 H_{2} O \end{aligned}$

answer is D.

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Detailed Solution

K₂SO₄·Cr₂(SO₄)₃·24H₂O

Explanation:

Chrome alum, also known as Chromium(III) potassium sulfate, is a type of double sulfate compound.
Its chemical formula is KCr(SO₄)₂·12H₂O.
The formula indicates the presence of 12 water molecules of crystallization per chromium sulfate unit. When combined with potassium sulfate, the total water molecules of crystallization amount to 24.
Therefore, the correct formula aligning with the given options is: K₂SO₄·Cr₂(SO₄)₃·24H₂O.

Additional Details:

Classification: Chrome alum belongs to the category of alums, which are double sulfate salts containing a monovalent and a trivalent cation.
Properties: It forms dark violet crystals, highly soluble in water.
Applications:
- Used in leather tanning to stabilize collagen fibers.
- Applied in dyeing processes for its mordant properties.
- Historically used in photography as a gelatin hardening agent.

Chrome alum is correctly represented as K₂SO₄·Cr₂(SO₄)₃·24H₂O, which matches option d.

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