For the burning of propane C3H8(g)+SO2(g)<==>3CO2(g)+4H2O(g) which of the following is true at and temperature:
i./\G<0
ii./\S>0
iii./\H<0
*/\ is a triangle*
i,ii
To determine the answers to these statements, we need to consider the Gibbs free energy change (\(ΔG\)), entropy change (\(ΔS\)), and enthalpy change (\(ΔH\)) of the reaction.
i. \(ΔG < 0\) (Gibbs free energy change)
When \(ΔG < 0\), it indicates that the reaction is thermodynamically favorable and spontaneous at the given temperature. To determine this, we need to know the values of \(ΔH\) (enthalpy change) and \(ΔS\) (entropy change).
If \(ΔH\) is negative (exothermic reaction) and \(ΔS\) is positive (increase in entropy), the reaction will likely have a negative \(ΔG\) at all temperatures. However, without the specific values of \(ΔH\) and \(ΔS\) for this reaction, we cannot definitively determine if \(ΔG < 0\) is true.
ii. \(ΔS > 0\) (entropy change)
Entropy is a measure of the disorder or randomness of a system. If the entropy change (\(ΔS\)) is positive, it means that the randomness of the molecules involved in the reaction increases. This often occurs when there are more gaseous products than reactants. In the given reaction, there are three molecules of carbon dioxide (CO2) and four molecules of water (H2O) as products, which are gaseous at typical temperatures. Hence, the total number of gaseous molecules increases, indicating a positive \(ΔS\) value. Therefore, it is true that \(ΔS > 0\) for this reaction.
iii. \(ΔH < 0\) (enthalpy change)
Enthalpy change (\(ΔH\)) is a measure of the heat energy exchanged during a chemical reaction. A negative value for \(ΔH\) indicates that the reaction is exothermic, meaning it releases heat energy to the surroundings. In the given reaction, the combustion of propane (C3H8) produces carbon dioxide (CO2) and water (H2O), which releases heat and is typically an exothermic process. Therefore, it is likely that \(ΔH < 0\) for this reaction.
In summary:
i. \(ΔG < 0\) - Cannot be definitively determined without specific values of \(ΔH\) and \(ΔS\).
ii. \(ΔS > 0\) - True.
iii. \(ΔH < 0\) - Likely true.