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Question: problem review of the unsteadystate macroscopic balances an insulated steel...

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Problem Review of the Unsteady-State Macroscopic Balances. An insulated steel cylindrical tank with diameter 24cm and height 140cm contains steam at T,-150 C and P-1psig.The cylinder is pressurized to a final pressure P-5bar from a steam line that is maintained at {T-300C and B-10bar) 1. Using the unsteady-state macroscopic mass and energy balances prove that U,-I, U-H where p and U are the steam density and specific intemal energy at the final tank pressure, H is the steam specific enthalpy of the steam line and p, and U, are the steam density and specific intemal energy at the initial tank pressure and temperature. 2. Using the formula obtained above and the secant method calculate the amount of steam in kg added into the tank. A few days later the pressure in the tank was recorded at 10 psig due to an undetected leak. Use the secant method again to calculate how much steam in kg escaped from the tank. How does the equation in Part 1 can be modified to describe the pressurization of a tank that is initially evacuated. 3. 4. The secant method for solving an algebraic equation of the form (x)-0 is given by the following iterative formula: x,-f(x)
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