Alcohols for use as biofuels can be produced from glucose that is obtained from starch and cellulose in plants. Use the information in the table below to determine the temperature range, if any, at which this reaction is spontaneous.
C₆H₁₂O₆(s) $\longrightarrow$ 2CH₃CH₂OH(l) + 2CO₂(g) $\begin{array} { | c | c | c | } \hline \text { Compound } & & \boldsymbol { S } ^ { \circ } \\& \Delta H _ { \mathrm { f } } ^ { \circ } & { [ \mathbf { J } / ( \mathbf { m o l } \cdot \mathbf { K } ) ] } \\\hline \text { Glucose } ( s ) & ( \mathrm { kJ } / \mathbf { m o l } ) & 212 \\\hline \text { Ethanol } ( l ) & - 1,274 & 161 \\\hline \text { Carbon dioxide } ( g ) & - 278 & 214 \\\hline\end{array}$

Question

Alcohols for use as biofuels can be produced from glucose that is obtained from starch and cellulose in plants. Use the information in the table below to determine the temperature range, if any, at which this reaction is spontaneous.
C₆H₁₂O₆(s)

\longrightarrow

2CH₃CH₂OH(l) + 2CO₂(g)

\begin{array} { | c | c | c | } \hline \text { Compound } & & \boldsymbol { S } ^ { \circ } \\& \Delta H _ { \mathrm { f } } ^ { \circ } & { [ \mathbf { J } / ( \mathbf { m o l } \cdot \mathbf { K } ) ] } \\\hline \text { Glucose } ( s ) & ( \mathrm { kJ } / \mathbf { m o l } ) & 212 \\\hline \text { Ethanol } ( l ) & - 1,274 & 161 \\\hline \text { Carbon dioxide } ( g ) & - 278 & 214 \\\hline\end{array}

Quizplus · Accepted Answer

The reaction is spontaneous at all temperatures because the change in free energy is negative at all temperatures. This can be seen from the fact that the standard free energy change for the reaction is negative, and the temperature dependence of the free energy change is given by the equation:$$\Delta G = \Delta H - T\Delta S$$where $\Delta H$ is the standard enthalpy change, $\Delta S$ is the standard entropy change, and $T$ is the temperature. Since $\Delta H$ is negative and $\Delta S$ is positive, $\Delta G$ will be negative at all temperatures.

Alcohols for Use as Biofuels Can Be Produced from Glucose ⟶\longrightarrow⟶

Alcohols for Use as Biofuels Can Be Produced from Glucose $\longrightarrow$