Can One Ounce of Gold Really Be Pulled into a 50km Wire?

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The discussion centers on whether one ounce of gold, approximately 28.35 grams, can be drawn into a monofilament wire up to 50 kilometers long. Participants are encouraged to calculate the volume of gold and the volume of a wire with a specified diameter to assess feasibility. Key considerations include the atomic mass of gold, Avogadro's number, and the dimensions of the wire. There is confusion regarding the calculations, particularly about how to determine the volume of the wire based on its length and diameter. The conversation highlights the need for clarity in mathematical reasoning and unit conversions in physics problems.
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Homework Statement


one ounce of gold (taken to be 28.35g) can be pulled or drawn into a monofilament wire that can be up to 50km in length

true or false

support your argument with some evidence

Homework Equations


atomic mass of gold ,Au= 196.96
avagardo's number=6.02x1023 atoms/mole
approx. radius of a single gold atom r=10-10 m
volume of sphere=4XpieXr3/3


The Attempt at a Solution


one ounce of gold X atomic mass ?
 
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kassib said:

Homework Statement


one ounce of gold (taken to be 28.35g) can be pulled or drawn into a monofilament wire that can be up to 50km in length

true or false

support your argument with some evidence

Homework Equations


atomic mass of gold ,Au= 196.96
avagardo's number=6.02x1023 atoms/mole
approx. radius of a single gold atom r=10-10 m
volume of sphere=4XpieXr3/3


The Attempt at a Solution


one ounce of gold X atomic mass ?

Welcome to the PF!

What is the volume of 1oz of gold? What is a reasonable diameter for a thin monofilimanet wire? What would the volume be of such a wire at the length asked about in the question?
 
a reasonable diameter for the monofilament could be 0.25? work out the volume of this and times and times the answer by 50 ?
 
kassib said:
a reasonable diameter for the monofilament could be 0.25? work out the volume of this and times and times the answer by 50 ?

0.25 what, for goodness sake?!

And you don't multiply volume by distance to get volume again...
 

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