There is liquid nitrogen in a hemispherical tank at a certain temperature ( T=73K ). The radius of the spherical tank is 5m. The ambient pressure is 1atm. The hemispherical tank is half full and is open to the atmosphere. The relationship between the liquid level h and the radrus of the liquid in the tank is given as: R2=(Rh)2+X2 In the equation above X is the radius of the liquid level, h is the liquid level and R(=5m) is the radrus of the hemispherical tank. The volume of the liquid in the tank is given as below: R2h1/3h3 The vapor of nitrogen as a function of temperature is given below: Pyap =10(AB(C+I(C))) where Pyap is in mmHg. A=6.94,B=330.2,C=277.2 a) Derive steady state evaporation rate for nitrogen in terms of R,h,P, Pxap , Diffusivity of nitrogen, T.25 pts b) Determine the value of diffusivity of nitrogen gas in air by using Fuller method 10 pts c) Determine the value of evaporation rate initially when the evaporation just started 15pts There is liquid nitrogen in a hemispherical tank at a certain temperature ( T=73K ). The radius of the spherical tank is 5m. The ambient pressure is 1atm. The hemispherical tank is half full and is open to the atmosphere. The relationship between the liquid level h and the radrus of the liquid in the tank is given as: R2=(Rh)2+X2 In the equation above X is the radius of the liquid level, h is the liquid level and R(=5m) is the radrus of the hemispherical tank. The volume of the liquid in the tank is given as below: R2h1/3h3 The vapor of nitrogen as a function of temperature is given below: Pyap =10(AB(C+I(C))) where Pyap is in mmHg. A=6.94,B=330.2,C=277.2 a) Derive steady state evaporation rate for nitrogen in terms of R,h,P, Pxap , Diffusivity of nitrogen, T.25 pts b) Determine the value of diffusivity of nitrogen gas in air by using Fuller method 10 pts c) Determine the value of evaporation rate initially when the evaporation just started 15pts