Using the simplified linear approximating to the equation of state of seawater with respect to standard seawater (with average density r0 = 1027 kg/m3, in-situ temperature T0 = 10ºC and salinity S0 = 35) given below:                rstp - r0 = [-a . (T-T0) + b . (S-S0) + k . p]     with constant coefficients a = 0.15 kg/m3 per degree Celcius; b = 0.78 kg/m3 per part per thousand salinity;  k = 4.5 x10-3 kg/m3 per decibar. What are the corresponding sigma (sstp = rstp - 1000) and sigma-t (st = rst0 - 1000) values at those levels?

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Using the simplified linear approximating to the equation of state of seawater with respect to standard seawater (with average density r0 = 1027 kg/m3, in-situ temperature T0 = 10ºC and salinity S0 = 35) given below:

               rstp - r0 = [-a . (T-T0) + b . (S-S0) + k . p]    

with constant coefficients a = 0.15 kg/m3 per degree Celcius; b = 0.78 kg/m3 per part per thousand salinity;  k = 4.5 x10-3 kg/m3 per decibar. What are the corresponding sigma (sstp = rstp - 1000) and sigma-t (st = rst0 - 1000) values at those levels?

p = 50 db, T = 27.06 ºC, S = 34.992 

rstp = 1024.66 kg/m3

p = 500 db, T = 6.54 ºC, S = 34.271 

rstp = 1029.20 kg/m3

p = 2,500 db, T = 1.76 ºC, S = 34.663

rstp = 1039.223 kg/m3

p = 4,500 db, T = 1.45 ºC, S = 34.696

rstp = 1048.295 kg/m3

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