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Question 12
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?
Answer
It is given that the atoms of Q are present at the corners of the cube.
Therefore, number of atoms of Q in one unit cell = 8 x 1/8 = 1
It is also given that the atoms of P are present at the body-centre.
Therefore, number of atoms of P in one unit cell = 1
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This means that the ratio of the number of P atoms to the number of Q atoms, P:Q = 1:1
Hence, the formula of the compound is PQ.
The coordination number of both P and Q is 8.
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