The heat capacity at constant pressure of a gas is determined experimentally at several temperatures, with the following results:

$\backslash$table$[[T(C),0,100,200,300,400,500,600],[C_p(\frac{J}{\text{m}\text{o}\text{l}C}),30\mathrm{.}7,33\mathrm{.}7,34\mathrm{.}9,35\mathrm{.}6,38\mathrm{.}5,39\mathrm{.}8,42\mathrm{.}0]]$

Reference Materials

Simpson's Rule

The Method of Least Squares

Simpson's Rule

Calculate the heat $)$ required to raise $150\mathrm{.}0mo\frac{l}{s}$ of the gas from $0C$ to $600C,$ using Simpson's rule $($Appendix A$\mathrm{.}3)$ to integrate the tabulated heat capacities.

$Q^{}=kW$

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Attempts: $0$ of $3$ used

Integrating a Fitted Line

Use the method of least squares $($Appendix A$\mathrm{.}1)$ to derive a linear expression for $C_p(T)$ in the range $0C$ to $600C.$

Use this expression to estimate once again the heat $(kW)$ required to raise $150\mathrm{.}0mo\frac{l}{s}$ of the gas from $0C$ to $600C.$

$Q=i,kW$

Attempts: $0$ of $3$ used