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Question

Determine the correctness or otherwise of the following Assertion (a) and Reason (r). 

Assertion: Strontium concentration in a basic magma decreases with fractional crystallization of plagioclase. 
Reason: Strontium is a compatible trace element in plagioclase during magmatic crystallization.

The correct answer is
Both (a) and (r) are true and (r) is the correct reason for (a)

Understanding Trace Element Behavior in Magma

Trace elements are elements present in magma in low concentrations compared to major elements. Their behavior during magmatic processes like fractional crystallization depends on their chemical compatibility with the crystallizing minerals.

  • A compatible trace element is one that readily incorporates into the crystal lattice of a crystallizing mineral. Its concentration in the remaining magma decreases as the mineral crystallizes.
  • An incompatible trace element is one that does not readily fit into the crystal lattice. It tends to remain in the melt, increasing its concentration as minerals crystallize.

Evaluating Assertion (a): Strontium Concentration Decrease

The Assertion states that Strontium concentration decreases in a basic magma during fractional crystallization of plagioclase.

Plagioclase is a solid solution mineral series (e.g., anorthite-albite). Strontium (Sr$^{2+}$) has an ionic radius and charge similar to Calcium (Ca$^{2+}$), a major cation in the plagioclase structure (especially in the more calcic end-member, anorthite). Due to this similarity, Sr$^{2+}$ substitutes readily for Ca$^{2+}$ within the plagioclase crystal lattice.

Therefore, when plagioclase crystallizes from a basic magma, it preferentially incorporates Strontium. This process removes Strontium from the melt, causing its concentration in the remaining magma to decrease. Thus, the Assertion (a) is true.

Evaluating Reason (r): Strontium's Compatibility

The Reason states that Strontium is a compatible trace element in plagioclase during magmatic crystallization.

As explained above, Strontium's chemical properties (ionic size and charge) allow it to substitute effectively for Calcium in the plagioclase structure. This confirms that Strontium is indeed a compatible trace element in plagioclase.

Thus, the Reason (r) is true.

Connecting Reason to Assertion

The Reason directly explains the Assertion. Because Strontium is compatible in plagioclase (Reason is true), it gets removed from the magma as plagioclase crystallizes, leading to a decrease in Strontium concentration in the residual magma (Assertion is true).

Therefore, both the Assertion and Reason are true, and the Reason correctly explains the Assertion.

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Important Questions from Igneous Petrology (Trace Elements/Melting/Evolution)

  1. Choose the explanation(s) for negative Eu anomalies in upper crustal rocks like granite and granodiorite.
  2. A source rock undergoes melting. Assuming batch melting, $5\%$ partial melting and bulk distribution coefficient of $0.045$, the enrichment factor ($C_L/C_o$) of Rb in the melt will be ________. (Round off to $2$ decimal places)
  3. A basaltic magma has an initial nickel concentration of 300 ppm. Olivine crystallizes from this magma by equilibrium crystallization (Case I) or fractional crystallization (Case II). Then, the absolute value of the difference between the nickel concentrations of the liquids remaining after 25% crystallization in these two cases is ________.
    (Use $K_{D,Ni}$ olivine/melt = 10).
  4. The modal abundance in an ultramafic rock and the partition coefficients of lutetium (Lu) in clinopyroxene, orthopyroxene, olivine and plagioclase are tabulated below. The bulk distribution coefficient of lutetium ($D_{Lu}$) in the ultramafic rock is ________.
    MineralModal abundance (%)Partition coefficient
    Clinopyroxene450.506
    Orthopyroxene400.42
    Olivine100.045
    Plagioclase050.019
  5. A hypothetical garnet peridotite composed of 60% olivine, 25% orthopyroxene, 10% clinopyroxene and 5% garnet undergoes 10% batch melting described by $\frac{C_L}{C_o} = \frac{1}{F+D-F*D}$ where F is degree of melting and D is bulk partition coefficient. The ratio of Ce in the melt to the original rock will be ___________ (round off to 2 decimal places). 

    (The $K_D$ values of Ce for olivine, orthopyroxene, clinopyroxene and garnet are 0.001, 0.003, 0.10 and 0.02, respectively)

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