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If the atom is assumed to be a sphere, what is the volume in cm^3 of a single Au atom?

Sagot :

Mahaveer87singhidn

Answer:

The equation for a volume of a sphere is V= (4/3)πr3

The above equations says we need to find the radius of our sphere. According to https://www.ptable.com/ the radius of a gold atom is 144 pm.

The questions wants the answer to be in cm3 which means we need to convert picometers into centimeters. 1cm= 1010pm

144pm x (1cm/1010pm) = 1.44 x 10-8cm

Now we plug the radius of the gold atom into the volume equation.

V= (4/3)π(1.44x 10-8cm)3 -----> Answer= 1.25x10-23 cm3

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