A solid has a structure in which W atoms are located at the corners of...
In a unit cell W atoms at the corner
= 1/8 x 8 = 1
0-atoms at the centre of edges = 1/4 x 12 = 3
Na-atoms at the centre of the cube = 1
W: 0: Na = 1:3:1
Hence, formula is NaW03
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A solid has a structure in which W atoms are located at the corners of...
Explanation:
The given solid has a cubic lattice structure with W-atoms located at the corners of the cube, O-atoms at the centre of edges, and Na atom at the centre of the cube. The formula for the compound can be determined by analyzing the oxidation states of the constituent atoms in the compound.
Oxidation States of the Constituent Atoms:
W (tungsten) belongs to group 6 of the periodic table and has a valency of 6. In the given solid, each W-atom is surrounded by 4 O-atoms, which are negatively charged. Therefore, the oxidation state of W-atom in the compound is +6.
O (oxygen) belongs to group 16 of the periodic table and has a valency of 2. In the given solid, each O-atom is bonded to 2 W-atoms, which have an oxidation state of +6. Therefore, the oxidation state of O-atom in the compound is -2.
Na (sodium) belongs to group 1 of the periodic table and has a valency of 1. In the given solid, each Na-atom is surrounded by 6 O-atoms, which are negatively charged. Therefore, the oxidation state of Na-atom in the compound is +1.
Formula of the Compound:
The formula of the compound can be determined by balancing the charges of the constituent ions in the compound. Since the compound is electrically neutral, the sum of the charges of the constituent ions must be zero.
Each Na-atom contributes a charge of +1, and there is only one Na-atom in the compound. Therefore, the total charge contributed by Na-ions is +1.
Each W-atom contributes a charge of +6, and there are 8 W-atoms in the compound. Therefore, the total charge contributed by W-ions is +48.
Each O-atom contributes a charge of -2, and there are 12 O-atoms in the compound. Therefore, the total charge contributed by O-ions is -24.
To balance the charges, there must be 2 Na-ions for every 3 W-ions and 9 O-ions. Therefore, the formula of the compound is Na2WO3.
Conclusion:
The correct answer is option 'B', i.e., Na2WO3. The formula of the compound is determined by analyzing the oxidation states of the constituent atoms and balancing the charges of the constituent ions in the compound.
A solid has a structure in which W atoms are located at the corners of...
No of atoms per unit cell at the corners in a cube is W = 8×1/8=1 No of atoms at the centre of edges in a cube per unit cell is O =4×1/12=1/3 No of atoms at the centre of cube is Na=1 on simplification , NaWO3