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Chapter 13: Q13-116CP (page 549)

Because zinc has nearly the same atomic radius as copper (d=8.95g/cm3)zinc atom substitute for some copper atoms in many types of brass. Calculate the density of the brass with

  1. 10.0 atom % Zn and
  2. 38.0 atom % Zn.

Short Answer

Expert verified
  1. Density of the brass with 10% Zn is 8.96g/cm3
  2. Density of brass with 38% Zn is 9.102g/cm3

Step by step solution

01

Density of the brass with 10% atom Zn

Given the density of copper atom is d=8.95g/cm3. consider that in brass with 10%

Znhas 0.1mol of Znand 0.9mol of Cu.

Molecular mass of zinc =65.38g.

Molecular mass of copper = 63.54g.

Density of brass can be calculated as

dbrass=dcuWcu脳Mcu+WZn脳MZnMcu=8.95g/cm30.9mol脳63.54g/mol+o.1mol脳65.38g/mol63.54g=8.96g/cm3

02

Density of brass with 38% zinc

Consider that brass with 38% zinc has 0.38mol of Zn atom and 0.62mol of Cu atom.

Density of brass can be calculated asdbrass=dcuWcu脳Mcu+WZn脳MZnMcu=8.95g/cm30.38mol脳63.54g/mol+0.62mol脳65.38g/mol63.54g=9.102g/cm3

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