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A compound formed by the element A and B...

A compound formed by the element A and B crystallizes in the cubic structure, where A is at the corners of the cube and B is at body centre. What is the formula of the compound? If edge length is `5Å`, calculate the density of the solid. (Atomic weights of A and B are 60 and 90 respectively).

Text Solution

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Simplest formula `AB_(3), Mw = 60 + 3 xx90 = 330`
Volume of unit cell `= (5 xx 10^(-8))^(3) = 125 xx 10^(-24) mL`
One cell has one `AB_(3)`, molecule
So volume of one mole `= 125 xx 10^(-24) xx 6.023 xx 10^(23)`
`= 75.287 mL`
Density `= (330)/(75.287) = 4.38g cm^(-3)`
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