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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 86

A 10.0 g block of gold is hammered into a thin gold sheet which has an area of 150 cm2. Given the density of gold is 19.3 g/cm3, what is the approximate thickness of the gold sheet in millimeters?

Verified step by step guidance
1
Calculate the volume of the gold block using its mass and the density of gold. Use the formula: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \).
Substitute the given values into the formula: Mass = 10.0 g and Density = 19.3 g/cm^3 to find the volume in cm^3.
Use the formula for volume of a rectangular prism (or sheet): \( \text{Volume} = \text{Area} \times \text{Thickness} \). Rearrange this to solve for thickness: \( \text{Thickness} = \frac{\text{Volume}}{\text{Area}} \).
Substitute the calculated volume and the given area (150 cm^2) into the rearranged formula to find the thickness in cm.
Convert the thickness from cm to mm by multiplying by 10, since 1 cm = 10 mm.
Related Practice
Open Question
A thief plans to steal a cylindrical platinum medal with a radius of 2.3 cm and a thickness of 0.8 cm from a jewellery store. If the platinum has a density of 21.45 g/cm³, what is the mass of the medal in kg? [The volume of a cylinder is V = πr²h.]
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