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A $32 \text{ g}$ sample of $\ce{CH_4}$ gas initially at $101.325 \text{ kPa}$ and $300 \text{ K}$ was heated to $550 K$. $C_p$ in SI units is

$C_p=12.552+8.368\times10^{-2} T$

Compute $\Delta H$ in Joules.

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