S(s) + O2(g) → SO2(g) =x
2SO3(g) →2SO2(g) + O2(g)=y
Based on the information in the table above, which of the following expressions is equivalent to AH for the reaction represented below?
2S(s) + 3O2(g) → 2SO3(g)
Choose 1 answer:
a)x + y
B)x- y
c)x+y\2
D)2x-y
The enthalpy change for a reaction can be determined by summing the enthalpy changes of the individual reactions that make up the overall reaction.
For the reaction 2S(s) + 3O2(g) → 2SO3(g), we can use the given equations:
1) S(s) + O2(g) → SO2(g)
2) 2SO3(g) → 2SO2(g) + O2(g)
To get the equation above, we need to reverse equation 1 and double equation 2:
1) SO2(g) → S(s) + O2(g)
2) 2SO2(g) + O2(g) → 2SO3(g)
Now, we can use these modified equations to calculate the enthalpy change:
Enthalpy change for the overall reaction = Enthalpy change for equation 2 - Enthalpy change for equation 1
= y - x
Therefore, the answer is B) x - y.
To determine the equivalent expression for the enthalpy change (ΔH) of the reaction:
1. Start by noting that the given reactions have the same stoichiometric coefficients as the reaction of interest:
a) The first equation is the reverse of the reaction we want
b) The second equation is double the reaction we want
2. The enthalpy change of the given equation will be equal to the sum of the enthalpy changes of these two equations.
3. Therefore, the equivalent expression for ΔH of the reaction 2S(s) + 3O2(g) → 2SO3(g) would be:
ΔH = (-y) + (2x)
Therefore, the correct answer is D) 2x - y.
To find the value of the enthalpy change (ΔH) for the reaction 2S(s) + 3O2(g) → 2SO3(g) using the given equations, we need to manipulate the given equations and then combine them appropriately.
From the first equation:
S(s) + O2(g) → SO2(g) (Equation 1)
The value of ΔH for this equation is represented by "x."
From the second equation:
2SO3(g) →2SO2(g) + O2(g) (Equation 2)
The value of ΔH for this equation is represented by "y."
We want to find the value of AH for the reaction:
2S(s) + 3O2(g) → 2SO3(g) (Target equation)
To manipulate Equation 1 and Equation 2 to match the target equation:
Multiply Equation 1 by 2 to match the number of sulfur atoms:
2S(s) + 2O2(g) → 2SO2(g) (Equation 3)
Multiply Equation 2 by 2 to match the number of sulfur atoms:
4SO3(g) → 4SO2(g) + 2O2(g) (Equation 4)
Now, sum up Equation 3 and Equation 4:
2S(s) + 2O2(g) + 4SO3(g) → 2SO2(g) + 4SO2(g) + 2O2(g)
Simplify and cancel out the common species on both sides:
2S(s) + 4SO3(g) → 2SO3(g) + 4SO2(g)
The target equation can be obtained by multiplying Equation 1 and Equation 2 by appropriate coefficients and adding them together. So, the enthalpy change (ΔH) for the reaction represented by the target equation is given as follows:
ΔH = (2x) + (y)
Therefore, the correct answer is A) x + y.