How to compute specific surface energy for cubes of varying sizes?

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  • #1
Guilty_Way6122
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Homework Statement
Compute the specific surface energy in J/g for a 1-gram cube of table salt with an edge of 0.77 cm, when it is split into
(a) 1 µm side cubes
(b) 1 nm side cubes
(c) 1nm radius sphere
Relevant Equations
NaCl: Surface energy, γ = 0.2 J/m^2 ; Edge energy, E = 3 x 10^-11 J/m
I got these values but I wanted to make sure I was doing it the correct way
a) 0.548 J/g for system of 1 µm cubes
b) 9.131 x 10^19 J/g for system of 1 nm cubes
c) 273.890 J/g for system of 1 nm radius spheres
 
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  • #2
As you haven't shown us the way you're doing it, how can we tell if you're doing it the right way?
But compare the magnitudes of your numbers. Do you really expect 1 nm cubes and 1 nm spheres to be so different? Looks like something's wrong somewhere. Please show your working.
 
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1. What is specific surface energy?

Specific surface energy is a measure of the energy required to create a unit area of new surface in a material. It is typically expressed in units of joules per square meter (J/m^2).

2. How is specific surface energy calculated?

To calculate specific surface energy for cubes of varying sizes, you would need to measure the surface area of each cube and the energy required to create the new surface. Then, divide the energy by the surface area to get the specific surface energy.

3. Why is specific surface energy important in materials science?

Specific surface energy is important in materials science because it can affect the properties and behavior of a material. For example, materials with higher specific surface energy tend to have stronger adhesive properties and can form stronger bonds with other materials.

4. How does the size of a cube affect its specific surface energy?

The size of a cube can affect its specific surface energy because smaller cubes have a higher surface area-to-volume ratio, meaning they require more energy to create new surfaces compared to larger cubes. Therefore, smaller cubes tend to have higher specific surface energy.

5. Are there any factors that can influence the specific surface energy of a cube?

Yes, there are several factors that can influence the specific surface energy of a cube, including the material it is made of, its surface roughness, and the environment it is in. Additionally, the method used to calculate specific surface energy can also affect the results.

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