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A 0.450 gram sample of impure CaCO3(s) is dissolved in 50.0 mL of 0.150 M HCl(aq). The equation for the reaction is Ca...

A 0.450 gram sample of impure CaCO3(s) is dissolved in 50.0 mL of 0.150 M HCl(aq). The equation for the reaction is CaCO3(s) + 2HCl(aq) arrow CaCl2(aq) +H2O(l) +CO2(g) The excess HCL (aq) is titrated by 6.45 mL of 0.125 M NaOH(aq). Calculate the mass percentaageof CaCO3(s) in the sample. Please show steps.
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Concepts and reason

Titration is a process where a known concentration solution is used for determining the concentration of unknown solution. Known concentration solution called as titrant while unknown concentrated solution called as analyte.

Fundamentals

Mass percentage: mass percentage represents the purity of the component present in the mixture.

Mass percentage
mass of the component x100
total mass of the mixture

Molarity: molarity is the ratio of the number of moles to the volume of the solution.

Molarity number of moles
volume(L)
number of moles = Molarity x volume(L)

volume of NaOH=6.45mL
=6.45x10 L
concentration of NaOH = 0.125M
no of moles of NaOH=6.45x10-Lx0.125M
= 8.06x10*mol

Therefore, 8.06x104
moles of NaOH
is used to react with excess present in given reaction.

The balanced chemical equation to the given acid-base titration reaction

NaOH+HCI—
NaCH+H,0

According to this balanced chemical equation, 1 mole of reacts with 1mole of

So

Number of moles of needed for moles of = moles.

Volume of HCI=50.0mL
= 50.0x10L
Concentration of HCI=0.150M

Number of moles HClin mixture=Volume of HCI Concentration of HCI
=50.0x10Lx0.150
=7.50x10 mol

Number of moles of excess =mol

Number of moles of used to react with Caco
number of moles of HCl used=number of moles of HCl-number of moles excess HCI
= (7.50x10²-8.06x104)mol
= 6.69x10mol

Therefore, 6.69x10-3
moles of is used in the reaction with Caco

Given balanced chemical equation

CaCO, +2HC1—CaCl,+H20+CO,

According to the given balanced chemical equation, 1mole of reacts with 2moles of

Number of moles HCl used=6.69x10mol
Number of moles of CaCO, reacted=6.69x10 molx
660x10-moly Imolof Caco,
2 mol of HCI
=3.

Amount of CaCO, reacted=3.345*10*mol CaCO,x
100.1gCaco,
Imol of CaCO,
=0.335 g Caco
Amount of impure CaCO, =0.450g

Amount of CaCO, present in impuresample=0.335g
mass of CaCO present in impure sample 100
%of CaCO,
mass of impure sample
_0.3

Ans:

The mass percentage of the Caco
in the sample is 74.4%

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