How Much Energy Is Needed to Decompose 765g of PCl3?

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SUMMARY

The energy required to decompose 765 g of phosphorus trichloride (PCl3) is calculated using the reaction 4 PCl3(g) → P4(s) + 6 Cl2(g) with a standard enthalpy change (ΔH°rxn) of +1207 kJ. The correct calculation involves converting grams to moles using the molar mass of PCl3, which is 137.32 g/mol. The resulting calculation yields 22.28 moles of PCl3, leading to an energy requirement of 6.72 x 103 kJ, although this was initially reported as incorrect due to potential misinterpretation of the enthalpy per mole ratio.

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KTiaam
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Homework Statement


How much energy is required to decompose 765 g of PCl3, according to the reaction below? The molar mass of PCl3 is 137.32 g/mol and may be useful.

4 PCl3(g) → P4(s) + 6 Cl2(g) ΔH°rxn = +1207 kJ

The Attempt at a Solution



765 g PCl3 x 4 mol PCl3/137.32 g PCl3 = 22.28 mol PCl3

22.28 mol PCL3 x 1207 kJ/4 mol PCl3 = 6.72 x 103 kJ

Which is incorrect...I converted from grams to mols then i converted mols to kJ, which did not give me the correct answer.
Im probably using a wrong sign somewhere or completely approaching the problem correctly.

Thank you for your help
 
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KTiaam said:

Homework Statement


How much energy is required to decompose 765 g of PCl3, according to the reaction below? The molar mass of PCl3 is 137.32 g/mol and may be useful.

4 PCl3(g) → P4(s) + 6 Cl2(g) ΔH°rxn = +1207 kJ

The Attempt at a Solution



765 g PCl3 x 4 mol PCl3/137.32 g PCl3 = 22.28 mol PCl3

22.28 mol PCL3 x 1207 kJ/4 mol PCl3 = 6.72 x 103 kJ

Which is incorrect...I converted from grams to mols then i converted mols to kJ, which did not give me the correct answer.
Im probably using a wrong sign somewhere or completely approaching the problem correctly.

Thank you for your help

The highlighted operators are incorrect. Pay attention to number of moles in the equation for enthalpy.
 
Bystander said:
The highlighted operators are incorrect. Pay attention to number of moles in the equation for enthalpy.

the number of moles is 4? I got 4 from the balanced equation?could you explain more on what I'm doing wrong?
 
Step at a time: PCL3 is 137.32 gram per mole (gram mole, gram molecular weight), also written 137.32 g/mol. How many moles in 765 g?
 

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