Numerical

2 × 10^{8} atoms of carbon are arranged side by side. Calculate the radius of carbon atom if the length of this arrangement is 2.4 cm.

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#### Solution

Length of the given arrangement = 2.4 cm

Number of carbon atoms present = 2 × 10^{8}

∴ Diameter of carbon atom

`= (2.4xx10^(-2)" m")/(2xx10^8)`

`= 1.2 xx 10^(-10) " m"`

`:. "Radius of carbon atom" = "Diameter"/2`

`= (1.2 xx 10^(-10)" m")/2`

`= 6.0 xx 10^(-11) " m"`

Concept: Isobars

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