a) Determine which of the two reactants (MgCO34) or HCla) is the limiting reagent. b) Determine how much heat (AH ~ kJ) will be produced when: the 1.3443 g of solid magnesium carbonate MgCO34) reacts with the 54.90 mL of 0.656 M hydrochloric acid. HCl«) AH° ra _kJ / (1.3443 g MgCO3) + 54.90 mL of 0.656 M HCla9)

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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Chapter15: Acid–base Equilibria
Section: Chapter Questions
Problem 98AP
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3. The reaction of solid magnesium carbonate (MgCO3) with aqueous hydrochloric acid (HCl) is given below:
MgCO3(5) + 2 HCl(ag) → MgCl(ag)+H2OM + CO2@)
AH°rn=-34.5 kJ
If 1.3443 g of solid magnesium carbonate (M = 84.32 g/mol) are reacted with
54.90 mL of 0.656 M hydrochloric acid (M = 36.46 g/mol),
a) Determine which of the two reactants (MGCO3) or HCla9) is the limiting reagent.
b) Determine how much heat (AH ~ kJ) will be produced when:
the 1.3443 g of solid magnesium carbonate MGCO3) reacts with
the 54.90 mL of 0.656 M hydrochloric acid. HClag)
_kJ / (1.3443 g MGCO36) + 54.90 mL of 0.656 M HC1«9)
Data:
m\eCO3
VHCI
CHCI
Transcribed Image Text:3. The reaction of solid magnesium carbonate (MgCO3) with aqueous hydrochloric acid (HCl) is given below: MgCO3(5) + 2 HCl(ag) → MgCl(ag)+H2OM + CO2@) AH°rn=-34.5 kJ If 1.3443 g of solid magnesium carbonate (M = 84.32 g/mol) are reacted with 54.90 mL of 0.656 M hydrochloric acid (M = 36.46 g/mol), a) Determine which of the two reactants (MGCO3) or HCla9) is the limiting reagent. b) Determine how much heat (AH ~ kJ) will be produced when: the 1.3443 g of solid magnesium carbonate MGCO3) reacts with the 54.90 mL of 0.656 M hydrochloric acid. HClag) _kJ / (1.3443 g MGCO36) + 54.90 mL of 0.656 M HC1«9) Data: m\eCO3 VHCI CHCI
Expert Solution
Step 1

Reaction

                     MgCO3 (s) + 2HCl(aq) ------> MgCl2 (aq) + H2O (l) + CO2 (g); Hrxn0 = -34.5 kJ

From this balanced equation, one mol of MgCO3 reacts with two moles of HCl and forms one mole of MgCl2 one mol of water and one mol of CO2.

                   Weight of solid MgCO3 = 1.3443 g

           Molecular weight of MgCO3 = 84.32 g/mol

Number of moles of MgCO3 = 1.3443 g / 84.32 g/mol

                                                       = 0.01594 mol

                                              [HCl] = 0.656 mol/L

Volume of HCl added = 54.90 mL = 0.0549L

  Number of moles of HCl  added = Concentration(M) * volume in L

                                                      = 0.656 mol/L * 0.0549 L

                                                      = 0.0360144 mol

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