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Marie Curie dissolved 0.091 92 g of RaCl2 and treated it with excess AgNO3to precipitate 0.088 90 g of AgCl. In her time (1900), the atomic mass of Ag was known to be 107.8 and that of Cl

was 35.4. From these values, find the atomic mass of Ra that Marie Curie would have calculated.

Short Answer

Expert verified

The atomic mass of Ra is calculated as 225.22 g / mol.

Step by step solution

01

calculate moles of AgCl and Ra:

In this task we have 0.09192 g of RaCl2 dissolves and treated with excess AgNO3 to precipitate 0.08890 g of AgCl. In 1900, the atomic mass of Ag was known to be 107.8 and that Cl was 35.4 (M (AgCl) = 143.2 g/mol). We will use these values in order to find the atomic mass of Ra.

Calculate the moles of AgCl and Ra:

n(AgCl)=m/Mn(AgCl)=0.0889g143.2g/moln(AgCl)=6.2081×10-4moln(Ra)=n(AgCl)n1(Ra)n(Ra)=6.2081×10-4mol2moln(Ra)=3.1040×10-4mol


n1 = 2 mol because in RaCl2there is 2 mol of Cl per 1 mol of Ra.


02

Calculate the molecular mass of RaCl2:

3.1040×10-4mol=m(RaCl2)M(RaCl2)M(RaCl2)=m(RaCl2)3.1040×10-4molM(RaCl2)=0.09192g3.1040×10-4mol

03

Calculate the atomic mass of Ra:

M(RaCl2)=M(Ra)+2M(Cl)M(Ra)=M(RaCl2)-2M(Cl)M(Ra)=296.13g/mol-70.91g/molM(Ra)=225.22g/mol

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Most popular questions from this chapter

Finely ground mineral (0.6324g)was dissolved in 25 mLof boiling 4M HCland diluted with 175mLH2Ocontaining two drops of methyl red indicator. The solution was heated to100oC,and50mL of warm solution containing2.0g(NH4)2C2O4 were slowly added to precipitateCaC2O4.Then6MNH3 was added until the indicator changed from red to yellow, showing that the liquid was neutral or slightly basic. After slow cooling for 1 h, the liquid was decanted and the solid transferred to a filter crucible and washed with cold10.1wt%(NH4)2C2O4 solution five times until noCl- was detected in the filtrate upon addition ofAgNO3 solution. The crucible was dried at 1 h and then at105°C in a furnace for 2 h.

Ca2++C2O42-→105°CCaC2O4+H2O(s)→500oCCaCO3(s)

FM 40.078 18.5467 g

The mass of the empty crucible was 18.2311 g and the mass of the crucible with CaCO3was 18.5467 g .

(a) Find the wt% Ca in the mineral.

(b) Why is the unknown solution heated to boiling and the precipitant solution, (NH4)2C2O4 also heated before slowly mixing the two?

(c) What is the purpose of washing the precipitate with0.1wt%(NH4)2C2O4?

(d) What is the purpose of testing the filtrate withAgNO3solution?

Why is tin used to encapsulate a sample for combustion analysis?

Why is it less desirable to wash AgCl precipitate with aqueous NaNO3 than with HNO3 solution?

What is the purpose of theWO3 and Cu in Figure 27-8?

1.475-g sample containing NH4Cl(FM53.491),K2CO3(FM 138.21), and inert ingredients was dissolved to give 0.100 L of solution. A 25.0-mL aliquot was acidified and treated with excess sodium tetraphenylborate,Na+B(C6H5)4-, to precipitateK+and

NH4+ions completely:

(C6H5)4B-+K+→(C6H5)4BK(s)FM358.33(C6H5)4B-+NH4+→(C6H5)4BNH4(s)FM337.27

The resulting precipitate amounted to 0.617 g. A fresh 50.0-mL aliquot of the original solution was made alkaline and heated to drive off all theNH3.

NH4++OH-→NH3(g)+H2O

It was then acidified and treated with sodium tetraphenylborate to give 0.554 g of precipitate. Find the weight percent ofNH4ClandK2CO3in the original solid.

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