Answer:
Explanation:
Given
Temperature of solid [tex]T=500\ K[/tex]
Einstein Temperature [tex]T_E=300\ K[/tex]
Heat Capacity in the Einstein model is given by
[tex]C_v=3R\left [ \frac{T_E}{T}\right ]^2\frac{e^{\frac{T_E}{T}}}{\left ( e^{\frac{T_E}{T}}-1\right )^2}[/tex]
[tex]e^{\frac{3}{5}}=1.822[/tex]
Substitute the values
[tex]C_v=3R\times (\frac{300}{500})^2\times (\frac{1.822}{(1.822-1)^2})[/tex]
[tex]C_v=3R\times \frac{9}{25}\times \frac{1.822}{(0.822)^2}[/tex]
[tex]C_v=0.97\times (3R)[/tex]
