Use the ideal gas law to calculate the number of moles of hydrogen prduced. Conv

Question

Use the ideal gas law to calculate the number of moles of hydrogen prduced. Convert moles of ydrogen to moles of metal. From the mass of metal and the moles of metal, Calculate the atomic weight of the metal. Determine the identity of the metal. Determine the identity of the metal and calculate the percent error in your measurement.

PV=nRT

M(s) +2HCl(aq) --> MCl2(aq)+H2(g)

Percent Error= [(experimental value-literature value)/Literature value]*100%

Data Table:

Atmospheric pressure-676 mmHg

Massof metal- 0.0328 g

Volume of gas in the eudiometer tube- 38.5 ml

Difference in water levels- 12.3 cm

Difference converted to mmHg- 9.044mmHg

Adjusted atmospheric pressure (Ptotal) - 666.956 mmHg

Dry gas pressure (Ph2)- 645.888 mmHg

Convert mmHg to atmospheres- 0.8499 atm

water temperature- 295.65 K

Explanation / Answer

moles of H2 (n) = PV/RT

                          = 0.8499 x 0.0385/0.08205 x 295.65

                          = 0.00135 moles

moles of metal reacted = 0.00135 moles

molar mass of metal = 0.0328 g/0.00135 moles = 24.30 g/mol

Identity of metal = Mg

Percent error = (24.3 - 24.305) x 100/24.305 = 0.02% [ignore -ve sign]

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