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Calculating Delta G

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I am trying to understand how to balance this equation.
We were given the following data to solve for delta G (standard).

S(s) + 3/2 O2(g)--------->SO3(g) delta G standard = -371kJ
2SO2(g)+ O2(g)--------->2SO3(g) delta G standard = -142kJ

Now calculate delta G standard for the reaction.

delta G standard = delta H standard - T delta S standard

Please explain in detail how to balance these two equations together and add them. I do not understand where they are getting the 1/2 (142 kJ0), and why on the second number we have no coefficient on -371 kJ then we end up with 71kJ - 371 kJ = -300? Could you please explain?

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Solution Summary

This solution is provided in 113 words. It discusses how to properly balance the equation.

Solution Preview

What you want to do is to use these two equations to get a new equation:

S(s) + O2(g) -----> SO2(g)

So you need to get rid ...

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