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Silver metal crystallises in a cubic clo...

Silver metal crystallises in a cubic closed- packed arrangement with the edge of the unit cell having a length, a = 407 pm. What is the radius of silver atom?

Text Solution

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`AC^(2)+AB^(2)=BC^(2)`
here `AC=AB=a,BC=4r`
`a^(2)+a^(2)=(4r)^(2)`
`2a^(2)=16r^(2)`
`therefore" "r^(2)=(a^(2))/(8)`
`therefore" "r=(a)/(2sqrt2)=("407pm")/(2sqrt2)=143.9"mp"`
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