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(Unless otherwise noted, 2 pts. for each blank) Molarity of HCI (M) (Ipt. each):

ID: 637626 • Letter: #

Question

(Unless otherwise noted, 2 pts. for each blank) Molarity of HCI (M) (Ipt. each): Volume of HCl (mL): Mass of Mg (gram): *Volume of gas before placing in Data, Trial 1 .00M Data, Trial 2 3.OOM 2o.com 30.08 mL Equalization Chamber (mL) (I pt.) (This value NOT used in calculatioes below) Volume of gas after placing in Equalization Chamber (mL): Barometric Pressure (mm Hg): Temperature (°C): Write the balanced overall equation for the reaction of magnesium and HCl to form hydrogen 732.3 mm tg 132.5mmHa 23. 2°C 23.2°C gas and the magnesium salt (2 pts): Mole of Mg reacted Mole of H2 formed (based on the stoichiometric equation for the reaction) Vapor Pressure of water from curve in mmtg: Pressure or 12 from Dalton's Law in mmHg: Pressure of H2 in atm Volume of H2 in liter (Using volume measared in Equalization Chamber) Temperature in Kelvin Calculation of R (6 pts. each) Percent error Average R- 63

Explanation / Answer

Balanced equation

Mg(s) + 2HCl (aq) = MgCl2(s) + H2(g)

Trial 1

Moles of Mg reacted = mass/molecular weight

= 0.035g/24.305g/mol

= 0.00144 mol

Moles of HCl = molarity x volume = 3 mol/L x 0.020 L

= 0.060 mol

From the stoichiometry of the reaction

1 mol Mg required = 2 mol HCl

0.00144 mol Mg required = 2*0.00144 = 0.00288 mol HCl

But we have more moles of HCl than required

Limiting reactant = Mg

Moles of H2 formed = moles of Mg consumed = 0.00144 mol

Vapor pressure of water at 23.2 °C = 21.329 mmHg

Pressure of H2 = Barometric pressure - Vapor pressure of water

= 732.5 - 21.329 = 711.171 mmHg

Pressure of H2 in atm = 711.171 mmHg x 1atm/760mmHg

= 0.93575 atm

Volume of H2 in L = 36.35 mL x 1L/1000 mL = 0.03635 L

Temperature = 23.2 + 273.15 = 296.35 K

From the ideal gas equation

R = PV/nT

= 0.93575 atm x 0.03635 L / 0.00144 mol x 296.35 K

= 0.07971 L-atm/mol-K

% error = (true value - experimental value) *100 / true value

= (0.08206 - 0.07971) *100/0.08206

= 2.86%

Similarly from trial 2

Moles of Mg reacted = mass/molecular weight

= 0.037g/24.305g/mol

= 0.00152 mol

Moles of HCl = molarity x volume = 3 mol/L x 0.020 L

= 0.060 mol

From the stoichiometry of the reaction

1 mol Mg required = 2 mol HCl

0.00152 mol Mg required = 2*0.00152 = 0.00304 mol HCl

But we have more moles of HCl than required

Limiting reactant = Mg

Moles of H2 formed = moles of Mg consumed = 0.00152 mol

Vapor pressure of water at 23.2 °C = 21.329 mmHg

Pressure of H2 = Barometric pressure - Vapor pressure of water

= 732.5 - 21.329 = 711.171 mmHg

Pressure of H2 in atm = 711.171 mmHg x 1atm/760mmHg

= 0.93575 atm

Volume of H2 in L = 36.63 mL x 1L/1000 mL = 0.03663 L

Temperature = 23.2 + 273.15 = 296.35 K

From the ideal gas equation

R = PV/nT

= 0.93575 atm x 0.03663 L / 0.00152 mol x 296.35 K

= 0.07609 L-atm/mol-K

% error = (true value - experimental value) *100 / true value

= (0.08206 - 0.07609) *100/0.08206

= 7.27%

Average R = (0.07609 + 0.07971) / 2

= 0.0779