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Given the enthalpies of reaction: 2P(g) + 3Cl2(g) → 2PCl3(g) DH = –574 kJ 2P(g) + 5Cl2(g) → 2PCl5(g) DH = –887 kJ What is the enthalpy change of the following reaction: PCl3(g) + Cl2(g) → PCl5(g

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Answer:
PCl_3(g)+Cl_2(g)\rightarrow PCl_5(g)
\Delta H=-156.5kJ

Step-by-step explanation: It's based on Hess's law. We will rearrange the two given equations and make the equation to which it asks to calculate the enthalpy change.

First equation needs to be reversed and divided by 2 so that we could get one
PCl_3 on reactant side. When we reversed an equation then the sign of enthalpy change is also changed.


PCl_3(g)\rightarrow P(g)+(3)/(2)Cl_2(g)
\Delta H=287kJ

Second equation also needs to be divided by 2 and its not reversed.


P(g)+(5)/(2)Cl_2(g)\rightarrow PCl_5(g)
\Delta H=-443.5kJ

Both the equations are added now:


PCl_3(g)+Cl_2(g)\rightarrow PCl_5(g)
\Delta H=-156.5kJ

So, the enthalpy change for the equation is -156.5 kJ.

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