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A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body-centre.

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A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body-centre. What is the formula of the compound? What are the coordination numbers of P and Q?

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Given, Atoms of Q occupy the corners of the cube.

=> Number of Q atoms in a unit cell = 8 x 1/8 = 1

The atom of P occupies the body centre.

=> Number of Q atoms in a unit cell = 1

Therefore, the ratio of the number of P atoms to the number of Q atoms; X : Y = 1 : 1

Thus the formula of the compound is PQ And the coordination number of both the elements is 8.

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