Final answer:
The ΔHrxn for the given reaction is -281.0 kJ.
Step-by-step explanation:
To calculate ΔHrxn for the reaction CH4(g) + 4Cl2(g) → CCl4(g) + 4HCl(g), we can use Hess's Law and the given reactions. First, we need to balance the equation to match the given reactions. The balanced equation is:
CH4(g) + 4Cl2(g) → CCl4(g) + 4HCl(g)
Now, we can use the given reactions with their ΔH values to find ΔHrxn.
We have:
- C(s) + H2(g) → 2H2(g) ΔH = -74.6 kJ
- 2Cl2(g) → Cl4(g) ΔH = -95.7 kJ
- 2HCl(g) ΔH = -184.6 kJ
Using these reactions, we can calculate ΔHrxn as follows:
ΔHrxn = 4(ΔHHCl) + ΔHCCl4 - 4(ΔHCl2) - ΔHCH4
= 4(-184.6 kJ) + 0 kJ - 4(-95.7 kJ) - (-74.6 kJ)
= -738.4 kJ + 382.8 kJ + 74.6 kJ
= -281.0 kJ