Nam sal, metallic, sold cyllinder ade of gold, has a radis of 2.00m Sep 10, 201

Question

Nam sal, metallic, sold cyllinder ade of gold, has a radis of 2.00m Sep 10, 201 he number of free eleetrons in ench atom of gold is le (eleescoms in the band.) The density of gold is 8.96 y,m" and the molar innm of venA is 63.55 Use scientific notation for all of youx answers. (1) (10 points) Find the volume and the mass of the cyllinder, in S.. uit (II) (10 points) Find the number of moles of gold and the number of gold atoms in the cyllinder (III) (10 points) Find the maximum electric charge this material could have, if all the conduction electrons were to be removed. in S.I. units

Explanation / Answer

1. (i) Volume = pi r^2 L

= pi (2 x 10^-3)^2 (3 x 10^-2)

= 3.77 x 10^-7 m^3

mass = volume x density

= (3.77 x 10^-7) (8.96 x 10^3 kg / m^3)

= 3.38 x 10^-3 kg  

(ii)

moles = (3.38 x 10^-3 kg) / (63.55 x 10^-3 kg / mol)

= 0.0532 moles

atoms = n NA = (0.0532)(6.022 x 10^23)

= 3.20 x 10^22 atoms

)iii) Q = (3.20 x 10^22)(1.6 x 10^-19)

Q = 5121 C  

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