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.
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.
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.
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.
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.
| Mineral | Modal abundance (%) | Partition coefficient |
| Clinopyroxene | 45 | 0.506 |
| Orthopyroxene | 40 | 0.42 |
| Olivine | 10 | 0.045 |
| Plagioclase | 05 | 0.019 |
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)