The U. S. Environmental Protection Agency (EPA) sets limits on healthful levels

Question

The U. S. Environmental Protection Agency (EPA) sets limits on healthful levels of air pollutants. The maximum level that the EPA considers safe for lead air pollution is 1.5 g/m3.

Part A

If your lungs were filled with air containing this level of lead, how many lead atoms would be in your lungs? (Assume a total lung volume of 5.60 L .)

2.3 times 10 Superscript 132.3•1013

The U. S. Environmental Protection Agency (EPA) sets limits on healthful levels of air pollutants. The maximum level that the EPA considers safe for lead air pollution is 1.5 g/m3.

Part A

If your lungs were filled with air containing this level of lead, how many lead atoms would be in your lungs? (Assume a total lung volume of 5.60 L .)

2.3 times 10 Superscript 132.3•1013

Explanation / Answer

lead air polution   = 1.5 g/m3.

                              = 1.5*10^-6g/1000L                   [ g    = 10^-6 g , m^3 = 1000L]

                            = 1.5*10^-9 g/L

mass of lead   = volume * density

                     = 5.6L*1.5*10^-9 g/L

                     = 8.4*10^-9 g

no of moles of lead   = mass of lead/gram molar mass of lead

                                 = 8.4*10^-9/207.2   = 4.05*10^-11 moles

no of lead atoms = no of moles of lead * 6.023*10^23

                            = 4.05*10^-11 *6.023*10^23   = 2.44*10^13 atoms

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