Chapter 31, Problem 52GP

To determine

Conversion factor from Kelvin to keV

Answer to Problem 52GP

  $\mathrm{k}=8.62\times {10}^{-8}\text{keV/K}$

Explanation of Solution

Given info:

  $\overline{\mathrm{K}\mathrm{E}}=\mathrm{k}\mathrm{T}$

Known data:

Boltzmann constant, $\mathrm{k}=1.38\times {10}^{-23}\text{J/K}$

  $1\text{ eV}=1.602\times {10}^{-19}\text{J}$

Calculation:

The conversion factor can be given by:

  $\begin{array}{l}\mathrm{k}=1.38\times {10}^{-23}\text{J/K}\\ \mathrm{k}=\frac{1.38\times {10}^{-23}}{1.602\times {10}^{-19}}\times {10}^3\text{keV/K}\\ \mathrm{k}=8.62\times {10}^{-8}\text{keV/K}\end{array}$

Conclusion:

Thus, the conversion factor from Kelvin to keV will be $\mathrm{k}=8.62\times {10}^{-8}\text{keV/K}$