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Chapter 12: Q12.142CP (page 499)

KF has the same type of crystal structure as NaCl. The unit cell of KF has an edge length of 5.39 A掳. Find the density of KF.

Short Answer

Expert verified

The density of KF is0.24脳107g/m3.

Step by step solution

01

Definition of crystal structure

In a crystal, the constituent particles form a structure by repeating a symmetric pattern along three dimensions. This symmetric structure of the particles in a crystal is named as crystal structure.

02

Definition of a unit cell

The smallest symmetric pattern from which the whole lattice can be formed by repeating in three dimensions is called the unit cell.

03

Finding the density of KF

Here, Density=ZMNOa3

NaCl's cubic crystal structure is face-centered.

For a face-centered cubic structure, Z, i.e., ions in a unit cell, is 4

Therefore, no. of ions in a unit cell for KF is 4.

M,molecularweightofKF=39+19g/mol=58g/molN0orAvogadrono=6.023脳1023mol-1aoredgelength=5.39脳10-10mDensityofKF=4脳586.023脳1023脳5.39脳10-103g/m3鈥�=0.24脳107g/m3

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