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Chris Spencer edited specific heat.tex
almost 10 years ago
Commit id: 5b30325f5a14ba24d5538f012ac68dbb8e47c525
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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
\[
\sqrt{\frac{2}{c_2^3} \frac{\rho_s}{\rho_n}) \sqrt{\left(\frac{2}{c_2^3} \frac{\rho_s}{\rho_n} S^2
T^2)^2 T^2\right)^2 dc_2^2 +
\frac{1}{c_2^2} \left(\frac{1}{c_2^2} \frac{\rho_s}{\rho_n}
S^2)^2 S^2\right)^2 dT^2} \]