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

AI Thread Summary
To determine the energy required to decompose 765 g of PCl3, the molar mass of PCl3 (137.32 g/mol) is used to convert grams to moles, resulting in approximately 22.28 moles of PCl3. The enthalpy change for the reaction is +1207 kJ for 4 moles of PCl3, leading to a calculated energy of 6.72 x 10^3 kJ. However, the calculation is noted as incorrect, suggesting a potential error in the approach or sign used in the enthalpy conversion. Clarification is sought on the proper handling of moles and enthalpy in the calculation process. Accurate understanding of stoichiometry and enthalpy is crucial for solving this problem correctly.
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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