Volume of a Gas from a thermal decomposition

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SUMMARY

The discussion centers on calculating the volume of gas produced from the thermal decomposition of calcium hydrogen carbonate (Ca(HCO3)2) into calcium carbonate (CaCO3), water (H2O), and carbon dioxide (CO2). The user initially calculated 0.799 moles of CaCO3 and incorrectly assumed it was the same for CO2. Upon applying the ideal gas law (PV=nRT) for the correct amount of Ca(HCO3)2 (80 g), the user resolved the discrepancy after identifying a typo in their reference material. This highlights the importance of accurate chemical formulas in stoichiometric calculations.

PREREQUISITES
  • Understanding of stoichiometry and mole calculations
  • Familiarity with the ideal gas law (PV=nRT)
  • Basic knowledge of chemical decomposition reactions
  • Ability to perform unit conversions and dimensional analysis
NEXT STEPS
  • Study the ideal gas law applications in various chemical reactions
  • Learn about stoichiometric calculations involving different compounds
  • Explore common errors in chemical equations and how to identify them
  • Investigate the thermal decomposition of other carbonates and their gas products
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Chemistry students, educators, and professionals involved in chemical engineering or laboratory work who are interested in gas volume calculations from chemical reactions.

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Homework Statement
Thermal decomposition of calcium hydrogen carbonate yields calcium carbonate water and carbon dioxide. Calculate the volume of carbon dioxide measured at 0 °C and 1.00 atm that is obtained by heating 80.0 grams of calcium carbonate
Relevant Equations
gas laws
Ca(HCO3)2 -> CaCO3 + H2O + CO2

First I evaluate the moles of calcium carbonate (don't mind the units, just to save time)

##\frac {80.0}{40,00+12.01+3*16,00}= 0,799 mol##

From the equation, correct me if I am wrong , one mole of CaCO3 is proportional to one mole of CO2, so from this I can say that also CO2 has 0,799 mol.

Using the ideal gas law equation PV=nRT, I can compute V:

##V=\frac{nRT}{P} ##

inserting the values, I don't get the expected result, so I suspect that something is wrong, Any help ?
 
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ok problem solved, there was a typo in the book.
it should be 80 g of calcium hydrogen carbonate, not calcium carbonate. with that correction the results match.
By the way, how is possible to delete a post?
 

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