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Q.

Caesium atoms are the largest naturally occurring atoms. The radius of Cs atom is 2.6 Ao. The number of moles of Cs atoms to be laid side by side to give a row of Cs atoms 2.5 cm long is x × 10 --17. Find the value of x.

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answer is 8.

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Detailed Solution

Diameter of Cs = 2 × 2.6 = 5.2 A˚= 5.2×10−8cmNumber of atoms in 2.50 cm row =2.55.2 x 10-8= 0.48×108= 4.8×107Cs atoms∴Moles of Cs atoms =4.8x1076.023x1023=8×10−17∴ x×10−17 =  8×10−17⇒x=8
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