Estimate the number of ozone molecules in one liter of air at the temperature an

Question

Estimate the number of ozone molecules in one liter of air at the temperature and pressure where the concentration of o3 reaches its maximum

The following graph shows the concentration of ozone, O3(g), as a function of altitude in the atmosphere. The region with high ozone concentrations defines the so-called ozone layer. Estimate the number of ozone molecules in one liter of air at the temperature and pressure where the concentration of Oj reaches its mad concentration of Os reaches its maximum. 100 Thermosphere O 5.0x 10* O 2.5x 107 4.8 x 1018 80 -40 °C P = 2 x 10-3 atm 17 60 Mesosphere E 40 Nt Stratosphere Troposphere Incorrect. 6 Ozone (ppmv)

Explanation / Answer

From ideal gas equation

PV = nRT

P = Pressure in atm = 0.002 atm

V = Volume of gas = 1 L

n= no of moles of gas

R = universal gas constant = 0.0821 L atm / K .mol

T = Temperature in K = 273 - 40 = 233 K

n = PV/RT = (0.002 x 1)/ (0.0821 x 233) mol = 1.045 x 10-4 moles

One mole of a substance contains avagadro number of molecules = 6.022 x 1023 molecules

1.045 x 10-4 moles contains = 1.045 x 10-4 x 6.022 x 1023 = 6.2929 x 1019 molecules

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