Question

12. Nucleus of an atom is spherical. Radius of nucleus is r = 1.25 x 10-1X A13cm. Radius of atom is 1 Å. If atomic wt. is 64 then fraction of volume of atom that occupied by, nucleus will be - ng.-, then

NEET/Medical Exams

Chemistry

Solution

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Atomic weight ( , A=64 ) Radius of nucleus, ( r=1.25 times 10^{-13} times A^{1 / 3} ) cin [ begin{array}{l} =1 cdot 25 times 10^{-13} times 69^{1 / 3} mathrm{cm} =5 times 10^{-13} mathrm{cm} end{array} ] Volume of nuclews ( V_{n}=frac{4}{3} pi r^{3}=frac{4}{3} pi timesleft(5 times 10^{-15}right)^{3} mathrm{cm}^{3} ) [ =5.23 times 10^{-37} mathrm{em}^{3} ] Radius of atom ( , R=1 A^{circ}=10^{-80} mathrm{cm} ) Valume of atom, ( V_{a}=frac{4}{3} pi R^{3}=frac{4}{3} pi timesleft(10^{-8}right) mathrm{cm}^{3} ) [ begin{array}{l} V_{n}=1.25 times 10^{-13} v_{10}=1.25 times 10^{-24} mathrm{cm}^{3 .} end{array} ]