Find an expression for the pressure variation in the ocean assuming po = 1030 kg/m³ for salt water using thebulk modulus to be 2100 MPa (see the solution to Solved Problem 2.1). Estimate the pressure at 2000 musing (a) the expression developed and (b) a constant density of 1030 kg/m³. (c) Calculate the percent errorin (b) assuming (a) is the accurate value.2.132.14From about 12 to 20 km, the temperature in the stratosphere is constant at 217 K. Assuming the pressureat 12 km to be 19.4 kPa, use Eq. (2.13) to approximate the pressure at 20 km. Calculate the error usingTable C.3 in App. C to obtain the more accurate value. 2.1Derive an expression for the density variation in a liquid assuming a constant bulk modulus and aconstant temperature.The density varies in a liquid according to Eq. (1.13), B= p Ap/Ap[t. Over a small pressure difference,this can be written as, using Eq. (2.9),Bdp ==dp = pg dh ordpВAssuming a constant value for B, set up an integration:dpdhIntegrating gives the increase in density asghor11Pop =1- gpoh/B%3DPoBThis could be used with dp = pg dh to provide the pressure variation in the ocean.

Expression for density variation in liquids is given as p=ρ01-gρ0hB

Find an expression for the pressure variation in the ocean assuming po = 1030 kg/m³ for salt water using the bulk modulus to be 2100 MPa (see the solution to Solved Problem 2.1). Estimate the pressure at 2000 m using (a) the expression developed and (b) a constant density of 1030 kg/m³. (c) Calculate the percent error in (b) assuming (a) is the accurate value. 2.13

Find an expression for the pressure variation in the ocean assuming po = 1030 kg/m³ for salt water using the bulk modulus to be 2100 MPa (see the solution to Solved Problem 2.1). Estimate the pressure at 2000 m using (a) the expression developed and (b) a constant density of 1030 kg/m³. (c) Calculate the percent error in (b) assuming (a) is the accurate value. 2.13