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A metal ‘M' of atomic mass 54.94 has a d...

A metal ‘M' of atomic mass 54.94 has a density of 7.42 g/`cm^(3):` Calculate the volume occupied and the radius of the atom of this metal assuming it to be sphere.

A

`1.44 xx 10 ^(-23) cm ^(3), 1.23 xx 10 ^(-8) cm`

B

`2.21 xx 10 ^(-23) cm ^(3), 1.432 xx 10 ^(-8) cm`

C

`1.23 xx 10 ^(-23) cm ^(3), 1.432 xx 10 ^(-8) cm`

D

`1.32 xx 10 ^(-23) cm ^(3), 1. 85 xx 10 ^(-8) cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`("Atomic mass")/(N _(A)) =` volume atom `xx` density
`(54.94)/(6.023 xx 10 ^(23)) = (4)/(3) pi r ^(3) xx 7. 42 therefore r = 1. 432 xx 10 ^(-8) ` cm and Volume `= (4)/(3) pi r ^(3) = 1.2 3 xx 10 ^(-23) cm ^(3)`
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