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Page 455
is proposed that CCN emissions should be released over the
oceans, that the release should produce an increase in the
stratocumulus cloud albedo only, and that the clouds should remain
at the same latitudes over the ocean where the surface albedo is
relatively constant and small.
Albrecht (1989) estimates that a roughly 30 percent increase in
CCN would be necessary to increase the fractional cloudiness or
albedo of marine stratocumulus clouds by 4 percent. Albrecht's
idealized stratocumulus cloud, which he argues is typical, has a
thickness of 375 m, a drizzle rate of 1 mm per day, and a mean
droplet radius of 100 mm, and he assumes
that each droplet is formed by the coalescence of 1000 smaller
droplets. The rate at which the CCN are depleted by his model is
1000/cm3 per day. Consequently,
about 300/cm3 per day (30 percent
of 1000) of additional CCN would have to be discharged per day at
the base of the cloud to maintain a 4 percent increase in
cloudiness. This assumes that the perturbed atmosphere would also
remain sufficiently close to saturation in the vicinity of the CCN
that additional cloud cover would be formed every time the number
of CCN increased.
Mass Estimates of Cloud Condensation
Nuclei
With Albrecht's assumption in mind that cloudiness in a typical
ocean region is limited by the small number of CCN, we now
extrapolate to the entire globe. On the average, 31.2 percent of
the globe is covered by marine stratiform clouds (Charlson et al.,
1987). If no high-level clouds are present, the number n of
CCN that need to be added per day is 1.8 × 1025 CCN/day. The mass of a CCN is equal
to 4/3pr3 × density, and it is assumed
that the mean radius r is equal to 0.07 × 10-4 cm (Charlson et al., 1987). Because
the density of sulfuric acid (H2SO4) is
1.841 g/cm3, the CCN mass is 2.7
× 10-15 g. The total weight
of H2SO4 to be added per day is 31 ×
103 t per day SO2 if all SO2 is converted to H2SO4
CCN.
To put this number in perspective, a medium-sized coal-fired
U.S. power plant emits about this much SO2 in a year. Consequently, the equivalent
emissions of 365 U.S. coal-burning power plants, distributed
homogeneously, would be needed to produce sufficient CCN.
To estimate the value of the sulfur directly, the total weight
of SO2 to be added per day would
equal 32 × 103 t, or about
16 × 103 t of sulfur (S) per
day, which is equivalent to about 6 × 106 t S/yr. If the average market price of
sulfur delivered at the mine or plant is taken as $96.60/t for the
years 1983 to 1987, the cost would be about $580 million per year.
Equating this yearly cost to the 300 parts per million by volume
(ppmv) of CO2 necessary for full
compensation gives $580 × 106/yr/(3890 × 106 t C/ppmv CO2 × 300 ppmv CO2), or about a fraction of 1 cent/t
CO2. To obtain an equivalence to
conserved carbon, known emissions of carbon in 1978, 1979, and
1980