Example 41. Calculate the standard heat of formation of
carbon disulphide (1). Given that the standard heats of combus-
tion of carbon (s), sulphur (s) and carbon disulphide (1) are
-393.3, 293.7 and -1108.76 kJ mol-respectively.
Answers
Answer:
the answer is 128.06 KJ mol-1
Explanation:
We have to find :
C(s) + 2S(s) -----> CS2(l) ΔHf = ?
Given:
1. C(s) + O2(g) --> CO2(g) ΔH = -393.3 kJ
2. SO2(g) ----> S(s) + O2 ΔH = 293.7 kJ
3. CS2(l) + 3O2(g) ----> CO2(g) + 2SO2(g) ΔH = -1108.76 kJ
Now,
Keep 1.,
double 2. and reverse it,
and reverse 3.
and add them.
ONE OF THE MOST IMPORTANT POINT IS:-
- If you double an equation, u have to double the ΔH value and
- If you reverse an equation u have to change the sign of ΔH
We have now 3 different equn.s
4. C(s) + O2(g) --> CO2(g) ΔH = -393.3 kJ
5. 2S(s) + 2O2(g) ---> 2SO2(g) ΔH = 2 x -293.7 kJ = -587.4 kJ
6. CO2(g) + 2SO2(g) --> CS2(l) + 3O2(g) ΔH = +1108.76 kJ
Adding 4,5 and 6 gives:
C(s) + O2(g) + 2S(s) + 2O2(g) + CO2(g) + 2SO2(g) --> CO2(g) + 2SO2(g) + CS2(l) + 3O2(g)
C(s) + 2S(s)---->CS2
Therefore,ΔH = -393.3 + (-587.4) + 1108.76 kJ
By solving we get
ΔH = 128.06 kJ.