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Packing Efficiency and Calculations Involving Unit Cell Dimensions

Question

The density of iron is $$7.87$$ $$g/cm^3$$. If the atoms are spherical and closely packed. The mass of iron atom is $$9.27\times 10^{-26}$$kg. What is the volume of an iron atom?

A

$$1.73\times 10^{-28}m^3$$

B

$$2.63\times 10^{-29}m^3$$

C

$$1.18\times 10^{-29}m^3$$

D

$$0.53\times 10^{-29}m^3$$

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Solution

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Correct option is A. $$1.18\times 10^{-29}m^3$$

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The density of iron is $$7.87$$ $$g/cm^3$$. If the atoms are spherical and closely packed. The mass of iron atom is $$9.27\times 10^{-26}$$kg. What is the volume of an iron atom?

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