Answer:
Total pressure in atmosphere IS 4.36 atm
Explanation:
Given Data:
Depth of lake is 400 mtr
surface tension is 147 kilopascals
surface temperature 94 kelvin
Gravity = 1.35 m/s^2
specific gravity of methane(liquid) = 0.415
specific gravity of ethane(liquid) = 0.546
density of methane can be obtained as
[tex]\rho_{methane} = 0.415\times 1000 = 415 kg/m^3[/tex]
Density of ethane can be obtained as
[tex]\rho_{ethane} = 0.546\times 1000 = 546 kg/m^3[/tex]
Total pressure in atmosphere can be obtained as
[tex]P = surface\ tension + \rho_{max}gh[/tex]
[tex] = 147 +546\times 1.35\times 400\times 10^{-3}[/tex]
= 441.84 kPa
[tex]= 441.84\times 0.009869 atm\kPa[/tex]
= 4.36 atm