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# A constant-volume tank contains a mixture of 120 g of methane $\left(\mathrm{CH}_{4}\right)$ gas and 600 g of $\mathrm{O}_{2}$ at $25^{\circ} \mathrm{C}$ and 200 kPa. The contents of the tank are now ignited, and the methane gas burns completely. If the final temperature is 1200 K. determine (a) the final pressure in the tank and (b) the heat transfer during this process.

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The final pressure in the tank is determined by manipulating the ideal gas relations at the initial and final state:

\begin{align*} P_{2}&=P_{1}\dfrac{T_{2}}{T_{1}}\\ &=200\cdot\dfrac{1200}{298}\:\text{kPa}\\ &=\boxed{805\:\text{kPa}} \end{align*}

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