Material Science Question about Conductivity.

Also, you did not include the temperature of 800oC in your calculation. Using the given values, the conductivity of ZrO2 at 800oC is approximately 1.352 S.m-1. In summary, the ionic conductor ZrO2 is commonly used in automobile engine control systems with a mobility of 0.01m2/V.sec for Zr4+ and 0.04 m2/V.sec for O2- at 800oC. At this temperature, the conductivity of ZrO2 is approximately 1.352 S.m-1.
  • #1
Heather
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ZrO2 is an ionic conductor used in automobile engine control systems. At 800oC the mobility of Zr4+ is 0.01m2/V.sec, and of O2- it is 0.04 m2/V.sec., there are 4.5 x 1017 mobile Zr4+ ions/m3, and 2.0 x 1018 mobile O2- ions/m3. What is the conductivity of ZrO2 at this temperature, in S.m-1?

Homework Equations


σ=ni*|e|*μe + ni*|e|*μh

The Attempt at a Solution


(.01)(4.5E17)(1.6E-19)+(.04)(2E18)(1.6E-19)=0.01352 (ions*C)/(mVs)~>(ions)/(Ωm)

Am I supposed to cancel out ions somehow. I am confused about how this is supposed to work however. I think I am missing a few fundamental concepts here.
 
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  • #2
It seems to me that you forgot to take into account the charge: four elementary charges on Zr4+ and two on O2-.
 

FAQ: Material Science Question about Conductivity.

What is conductivity in material science?

Conductivity in material science refers to the ability of a material to conduct electricity or heat. It is a measure of how easily electrons can move through a material.

How is conductivity measured?

Conductivity is typically measured using a device called a conductivity meter, which applies an electrical current to a material and measures the resulting voltage. The unit of measurement for conductivity is siemens per meter (S/m).

What factors affect conductivity?

Several factors can affect the conductivity of a material, including its chemical composition, temperature, and microstructure. Materials with more free electrons or higher mobility of electrons tend to have higher conductivity.

What are some examples of materials with high conductivity?

Metals such as copper, silver, and gold are known for their high conductivity. Other materials like graphene, which is a thin sheet of carbon atoms, also have high conductivity due to their unique structure and arrangement of electrons.

Why is conductivity important in material science?

Conductivity is an essential property in material science as it determines the performance of materials in various applications. For example, materials with high conductivity are often used in electrical wiring, while materials with low conductivity are used in insulation. Understanding conductivity also allows scientists to design and engineer new materials with specific properties for different purposes.

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