Is temperature directly proportional or inversely proportional to resistance and relationship between conductivity and molar conductivity with temperature?
Relationship between Temperature and Resistance:
The relationship between temperature and resistance is not directly proportional nor inversely proportional. It's more nuanced:
- In most conductors (metals): As temperature increases, resistance also increases. This is because increased thermal motion disrupts the flow of electrons, making it harder for them to move freely.
- In semiconductors: The relationship is more complex. Usually, resistance decreases with increasing temperature. This is because higher temperatures excite more electrons into the conduction band, increasing their mobility.
Therefore the statement is not entirely accurate.
Relationship between Conductivity and Molar Conductivity with Temperature:
Conductivity (σ) and molar conductivity (Λ) are inversely proportional to resistance (R). This means that as resistance increases, both conductivity and molar conductivity decrease, and vice versa.
The relationship between conductivity and temperature depends on the material:
- In conductors: As temperature increases and resistance increases, conductivity decreases.
- In semiconductors: As temperature increases and resistance generally decreases, conductivity increases.
Therefore, the relationship between conductivity and temperature depends on the type of material.
Similarly, the relationship between molar conductivity and temperature also depends on the material, mirroring the behavior of conductivity.
I hope this clarifies the relationships between temperature, resistance, conductivity, and molar conductivity.
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