# Calculate Activation Energy of PZT Using Arrhenius Plot

• mkbh_10
In summary, to calculate the activation energy of a PZT sample using an Arrhenius plot, first plot ln(conductivity) vs 1000/T and calculate the slope. Then, plot ln(ln(conductivity)) vs 1/T and use the slope to solve for Ea using the formula ln(conductivity) = Aexp(-Ea/KT).
mkbh_10

## Homework Statement

I have to find activation energy of PZT sample using arrehnius plot , i have ln(conductivity) v/s 1000/T plot , i calculated the slope from the graph , then what will will be the next step to calculate Ea ?

formula is : ln(conductivity) = Aexp(-Ea/KT) where A is the dc value of conductivity .

Assume that the formula is true (I doubt it; your formula looks weird to me), then you can transform it:
ln(conductivity) = Aexp(-Ea/KT)
=> ln( ln(conductivity) ) = -Ea/kT + lnA
Plot the graph of ln( ln(conductivity) ) vs 1/T, the slope is -Ea/k. We know the Boltzmann's constant k = 1.38 x 10^(-23), we get Ea.

## What is the Arrhenius plot method?

The Arrhenius plot method is a graphical representation of the relationship between the rate constant of a chemical reaction and the temperature at which the reaction occurs. It is based on the Arrhenius equation, which describes the dependence of the rate constant on temperature.

## How is the Arrhenius plot used to calculate activation energy?

The Arrhenius plot can be used to calculate the activation energy of a reaction by plotting the natural logarithm of the rate constant against the reciprocal of the temperature. The slope of the resulting line is equal to -Ea/R, where Ea is the activation energy and R is the gas constant.

## What is the significance of calculating the activation energy of PZT?

PZT (lead zirconate titanate) is a commonly used material in the field of piezoelectricity. Knowing the activation energy of PZT can help scientists understand its behavior and optimize its performance in various applications, such as sensors, actuators, and transducers.

## What factors can affect the accuracy of the calculated activation energy using the Arrhenius plot?

The accuracy of the calculated activation energy using the Arrhenius plot can be affected by several factors, including experimental errors, temperature variations, and the assumption that the reaction follows the Arrhenius equation. It is important to carefully control and measure these factors to obtain a reliable result.

## Are there any limitations to using the Arrhenius plot method to calculate activation energy?

Yes, there are some limitations to using the Arrhenius plot method. It assumes that the reaction follows the Arrhenius equation, which may not always be the case. It also assumes a constant activation energy throughout the temperature range, which may not be true for all reactions. Additionally, the method may not be suitable for reactions with low or high activation energies, as the resulting line may not be linear enough for accurate calculations.

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