What is the area of a 7.000 μm thick leaf made of 7.000 oz of gold?

In summary: For part a) what is the volume of this leaf in terms of thickness and area... use this along with the above equation to solve for area...For part b) what is the volume in terms of radius and length... use this with the density equation to solve for height.Be careful about units.gold, which has a mass of 19.32 g for each cubic centimeter of volume, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 7.000 oz, is pressed into a leaf of 7.000 μm thickness, what is the area (in m^2) of the
  • #1
jjc39
6
0
Gold, which has a mass of 19.32 g for each cubic centimeter of volume, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 7.000 oz, is pressed into a leaf of 7.000 μm thickness, what is the area (in m^2) of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.400 μm, what is the length (in m) of the fiber?

I know its simple but I can't seem to know where to get started
 
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  • #2
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Gold, which has a mass of 19.32 g for each cubic centimeter of volume, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 7.000 oz, is pressed into a leaf of 7.000 μm thickness, what is the area (in m^2) of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.400 μm, what is the length (in m) of the fiber?

I know its simple but I can't seem to know where to get started
 
  • #3
Use the equation: density = mass/volume

For part a) what is the volume of this leaf in terms of thickness and area... use this along with the above equation to solve for area...

For part b) what is the volume in terms of radius and length... use this with the density equation to solve for height.

Be careful about units.
 
  • #4
what do you mean by in terms of in terms of thickness and area
 
  • #5
jjc39 said:
Gold, which has a mass of 19.32 g for each cubic centimeter of volume, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 7.000 oz, is pressed into a leaf of 7.000 μm thickness, what is the area (in m^2) of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.400 μm, what is the length (in m) of the fiber?

I know its simple but I can't seem to know where to get started

mass is given, density is given. You know the volume then. This volume is fixed. So, get your area (first case) and length (2nd case) accordingly.
 
  • #6
jjc39 said:
what do you mean by in terms of in terms of thickness and area

Volume = area * thickness
 

1. What is a homework density problem?

A homework density problem is a type of mathematical problem that involves calculating the mass or volume of a substance based on its density and other given information. It is commonly used in science and engineering courses to test students' understanding of density and its applications.

2. How do you solve a homework density problem?

To solve a homework density problem, you need to follow a specific formula: density = mass/volume. You first need to identify the known values for mass, volume, and density, and then use the formula to calculate the missing value. Make sure to use the correct units and pay attention to significant figures.

3. What are the units for density?

The most common units for density are grams per cubic centimeter (g/cm3) for solid substances and grams per milliliter (g/mL) for liquids. However, other units such as kilograms per cubic meter (kg/m3) and pounds per cubic inch (lb/in3) may also be used depending on the context.

4. How is density related to other properties of matter?

Density is a physical property of matter that describes how much mass is contained in a given volume. It is related to other properties such as weight, volume, and mass through various equations and formulas. For example, the weight of an object can be calculated by multiplying its mass by the acceleration due to gravity.

5. Can density be changed?

Density is an intrinsic property of matter and cannot be changed unless the substance undergoes a chemical or physical change. However, the density of a substance can vary depending on the temperature and pressure. For example, most substances become less dense when they are heated, and more dense when they are cooled.

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