Mr. Auric Goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly 8 cm and paint them black. However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density 19.3 g/cm). She suggests forming the gold into hollow balls One of the balls of fake instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15 g/cm'). "iron ore," sliced in half. Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits.
Mr. Auric Goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly 8 cm and paint them black. However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density 19.3 g/cm). She suggests forming the gold into hollow balls One of the balls of fake instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15 g/cm'). "iron ore," sliced in half. Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits.
Chemistry
10th Edition
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Gold Density and Hollow Spheres Problem**
Mr. Auric Goldfinger, a criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly 8 cm and paint them black.
However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density \( 19.3 \, \text{g/cm}^3 \)). She suggests forming the gold into hollow balls instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (\( 5.15 \, \text{g/cm}^3 \)).
**Figure Description:**
To the right of the text, there is an illustration of one of the balls of fake "iron ore," sliced in half. The sketch depicts a black-colored sphere with a hollow, golden interior.
**Calculation Task:**
Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits.
[Text Box for Answer]
___ (unit)
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The image also includes various function buttons for online input, including navigation buttons, an "x10" button for scientific notation, and other basic input controls.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F398dfb8b-8c41-4715-a697-5c459af04574%2F82529f55-d7d1-42c6-a65b-e204fcbc6879%2Ft0upsok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Gold Density and Hollow Spheres Problem**
Mr. Auric Goldfinger, a criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly 8 cm and paint them black.
However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density \( 19.3 \, \text{g/cm}^3 \)). She suggests forming the gold into hollow balls instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (\( 5.15 \, \text{g/cm}^3 \)).
**Figure Description:**
To the right of the text, there is an illustration of one of the balls of fake "iron ore," sliced in half. The sketch depicts a black-colored sphere with a hollow, golden interior.
**Calculation Task:**
Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits.
[Text Box for Answer]
___ (unit)
[Function Buttons]
The image also includes various function buttons for online input, including navigation buttons, an "x10" button for scientific notation, and other basic input controls.
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