deletions | additions       diff --git a/specific heat.tex b/specific heat.tex  index 38881ad..5af0f80 100644  --- a/specific heat.tex  +++ b/specific heat.tex 
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The graph of $C_p$ vs temperature is shown in figure 10 and it shows that $C_p$ increases as the temperature approaches $T_{\lambda}$ . This makes sense since there is a $c_2^2$ in the denominator and it was shown in second sound that it approaches zero at $T_{\lambda}$ so this is a good confirmation that the data works.   \subsection{ Error in $C_p$}  The error in $C_p$ can be found by the equation   \[ \sqrt{\left(\frac{2}{c_2^3} \frac{\rho_s}{\rho_n} S^2 T^2\right)^2 dc_2^2 + \left(\frac{1}{c_2^2} \frac{\rho_s}{\rho_n} S^2\right)^2 dT^2} \] where $S$ is the entropy and these values can be read from the Maynard Tables at the temperatures used. $\frac{\rho_s}{\rho_n}=\frac{\frac{\rho_s}{\rho}}{1-\frac{\rho_s}{\rho}}$, where $\frac{\rho_s}{\rho}$ was found in the previous section. The other errors and values in the equation are taken from the previous data analysis above.