## Related questions with answers

Ethane $(C_2H_6)$ gas at $77^\circ F,$ 1 atm enters a well-insulated reactor operating at steady state and burns completely with air entering at $240^\circ F,$ 1 atm. Determine the temperature of the products, in $^\circ F.$ Neglect kinetic and potential energy effects.

Solution

VerifiedThe ratio of $\ce{N2}$ to $\ce{O2}$ in air is,

$\begin{align*} \dfrac{n_{\ce{N2}}}{n_{\ce{O2}}} &= \dfrac{0.79}{0.21} \\ &= 3.76 \end{align*}$

The chemical reaction is,

$\ce{C2H6 + x(O2 + 3.76 N2) -> a CO2 + b H2O + 3.76x N2}$

The mass balance of C is:

$\begin{align*} 2 &= a \end{align*}$

The mass balance of H is:

$\begin{align*} 6 &= 2b \\ 3 &= b \end{align*}$

The mass balance of O is:

$\begin{align*} 2x &= 2a + b \\ 2x &= 4 + 3 \\ x &= 3.5 \end{align*}$

Substitute in the chemical reaction,

$\ce{C2H6 + 3.5 O2 + 13.16 N2 -> 2 CO2 + 3 H2O + 13.16 N2}$

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