What is the volume of a single Au particle. What is the mass of the particle (look up the density for gold). If the initial solution that was used to synthesize the gold particles contained 50.0 mL of 1.00% (w/vol) Au, how many particles can you synthesize? If the diameter increases by 10%, what % change will occur in the number of particles made?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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It is possible to synthesize a wide variety of materials with dimensions in the nanometer range. The transmission electron microscope (TEM) image shows gold nanoparticles (bright white) that have been coated with silica (SiO2 - not as bright). The scale bar in the lower right of the image corresponds to 40.0 nm.

Assume that the gold nanoparticles are spherical and have a diameter of 10.0 nm. Answer the following questions.

  1. What is the volume of a single Au particle.
  2. What is the mass of the particle (look up the density for gold).
  3. If the initial solution that was used to synthesize the gold particles contained 50.0 mL of 1.00% (w/vol) Au, how many particles can you synthesize?
  4. If the diameter increases by 10%, what % change will occur in the number of particles made?
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