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Chapter 22: Q22.86P (page 1021)

The lead(IV) oxide used in car batteries is prepared by coating the electrode plate with PbO and then oxidizing it to lead dioxide (PbO2). Despite its name,PbO2has a nonstoichiometric ratio of lead to oxygen of about. In fact, the holes in thePbO2crystal structure due to missing O atoms are responsible for the oxide鈥檚 conductivity. (a) What is the mole % of O missing from thePbO2structure? (b) What is the molar mass of the nonstoichiometric compound?

Short Answer

Expert verified

a) The mole % is obtained as:1% .

b) The molar mass of nonstoichiometric compound is obtained as: 238.88 g mol- 1.

Step by step solution

01

Evaluating the mole %

a) PbO2has two moles of oxygen per mole. PbO1.98has 1.98moles of oxygen per mole.

The difference between the two sums may be calculated as follows:

data-custom-editor="chemistry" n(O)missing=2.0mol-1.98moln(O)missing=0.02mol%(O)=nOmissingnOPbO2脳100%%(O)missing=0.02mol2.0mol脳100%%(O)missing=1%

Therefore, the mole % is 1%: .

02

Evaluating the molar mass

b) Using data from the periodic table of elements, the molar mass of the nonstoichiometric compound may be calculated:

MPbO1.98=APb+1.98脳础OMPbO1.98=207.2gmol-1+1.98脳15.999gmol-1MPbO1.98=238.88gmol-1

Therefore, the molar mass is: 238.88gmol-1.

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