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Calculate each of the following quantities: (a) Volume of 2.050 M copper(II) nitrate that must be diluted with water to prepare 750.0 mL of a 0.8543 M solution (b) Volume of 1.63 M calcium chloride that must be diluted with water to prepare 350. mL of a 2.86102 M chloride ion solution (c) Final volume of a 0.0700 M solution prepared by diluting 18.0 mL of 0.155 M lithium carbonate with water.

Short Answer

Expert verified

(a) The volume of 2.050 M copper(II) nitrate that must be diluted with water to prepare 750.0 mL of a 0.8543 M solution is a 313 mL Cu(NO3)2 solution.

(b) The volume of 1.63 M calcium chloride that must be diluted with water to prepare 350 mL of a 2.86102 M chloride ion solution is a 3.07 mL CaCl2 solution.

(c) The volume of a 0.0700 M solution prepared by diluting 18.0 mL of 0.155 M lithium carbonate with water is a 39.9 mL Li2CO3 solution.

Step by step solution

01

a. Step 1: Finding the volume of 2.050 M copper (II) nitrate that must be diluted with water to prepare 750.0 mL of a 0.8543 M solution 

On substituting and solving,

Vconc=Mdil×VdilMconc             =0.8543 M×750 mL2.050 M             =313 mL Cu(NO3)2 solution

02

b. Step 2: Finding the volume of 1.63 M calcium chloride that must be diluted with water to prepare 350 mL of a 2.86102 M chloride ion solution

Multiply the given calcium chloride’s molarity using the molar ratio between the calcium chloride and the chloride ion to find the chloride ion’s concentration.

Mconc(Cl-ions)=1.63 mol CaCl2L soln×2 mol Cl-ions1 mol CaCl2                                 =3.26 M Cl-ions

    Vconc=Mdil×VdilMconc                                 =2.86×10-2M×350mL3.26 M

                                 =3.07 mL CaCl2 solution

03

c. Step 3: Finding the volume of a 0.0700 M solution prepared by diluting 18.0 mL of 0.155 M lithium carbonate with water

On and solving,

Vdil=Mconc×VconcMdil         =0.155 M×18 mL0.07 M         =39.9 mL Li3CO3 solution

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