Mass% of Magnesium-Aluminum Alloy in HCl

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SUMMARY

The discussion focuses on calculating the mass percentage of magnesium and aluminum in a magnesium-aluminum alloy that dissolves in hydrochloric acid (HCl). A 0.250-g sample yields hydrogen gas (H2) measured at 313 mL, 29°C, and 752 torr, with a water vapor pressure of 30.0 torr. The ideal gas law (PV = nRT) is applied to determine the moles of gas produced, but the initial calculations led to an incorrect result exceeding 100%. The vapor pressure of water is crucial for accurate calculations, as it affects the total pressure used in the gas law equation.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of molar masses for aluminum (Al = 26.98 g/mol) and magnesium (Mg = 24.31 g/mol)
  • Familiarity with vapor pressure concepts and their impact on gas calculations
  • Basic algebra skills for solving equations involving mass percentages
NEXT STEPS
  • Learn how to apply the ideal gas law with corrections for vapor pressure
  • Study stoichiometry in chemical reactions involving gases
  • Explore methods for calculating mass percentages in alloy compositions
  • Review the principles of gas collection over water and its implications
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Chemistry students, educators, and professionals involved in materials science or chemical analysis who seek to understand gas behavior in reactions and alloy composition calculations.

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Homework Statement



A 0.250-g sample of a magnesium-aluminum alloy dissolves completely in an excess of HCl(aq). When the liberated H2(g) is collected over water at 29C and 752 torr, the volume is found to be 313 mL. The vapor pressure of water at 29C is 30.0 torr.

Homework Equations



PV = nRT
Al = 26.98 g/mol
Mg = 24.31 g/mol

The Attempt at a Solution



I'm unsure how to do this...but here's what I did.

1) First I converted everything.

752 torr = 0.989 atm
313 mL = 0.313 L
29C = 302K

2) Then I used the formula PV = nRT to find out how many moles of water there was.

3) Then I multiplied the moles by the MM of Al and Mg.

4) Finally I did .3038x + .3371(1-x) = 250 and got a whole number above 100% which means that my answer was wrong.

I haven't used any the information about the vapor pressure of water because I don't know what to do with it...
 
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Start with the reaction equations. Water doesn't tell you anything about alloy composition.

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