A piece of gold wire has a diameter of 0.506 mm. If gold has a density of 19.3 g/cc, how long (in meters) should you cut a piece of wire to obtain 0.0323 moles of gold?

Given :

Diameter of gold , .

Density , .

To Find :

How long (in meters) should you cut a piece of wire to obtain 0.0323 moles of gold .

Solution :

Molecular mass of gold , MM =197 g/mole .

Mass of gold :

Volume is given by :

Now , volume is given by :

Therefore , length of wire is 1.65 m .

Hence , this is the required solution .

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