Question

A gas stream containing acetone in air flows from a solvent recovery unit at a rate of 142 L/s at 150°C and 1.3 atm. The stream flows into a condenser which condenses most of the acetone, and the liquid and gas outlet streams are in equilibrium at -18°C and 5.0atm. Shaft work is delivered to the system at a rate of 25.2kW to achieve the compression from 1.3 atm to 5.0 atm. To determine the condenser feed stream composition, a 3.00-liter sample of the gas is taken and cooled to a temperature at which essentially all the acetone in the sample is recovered as a liquid. The liquid is poured into an empty flask with a mass of 4.017g The flask containing the liquid acetone is weighed and found to have a mass of 4.973g. Gas at-18°C, 5 atm acetone(v), air 142 L/s, 150°C, 1.3 atm acetone(v), air CONDENSER Acetone(l) at-18°C, 5 atm Condense and weigh acetone (a) Carry out a degree-of-freedom analysis to show that enough information is available to determine the compositions of all streams and the required heat transfer rate. (b) Write out a complete set of equations for the molar flow rates of all streams, the mole fractions of acetone in the feed and product gas streams, and the rate (kW) at which heat must be removed in the condenser. Do no calculations (c) Solve the eauations of Part (b) bv hand.

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Answer #1

Draw a flowchart for the system W, s5.2 kw mol/s Q kW: -18 °C 5.0 atm mol 142 L/s (1-y) mol air/mol 150 °C 1.3 atm xF mol acetone/mol (1-xf) mol air/mol n, mol acetone/s -18 °C 5.0 atm Perform a degree of freedom analysis n the systenm Recall the equation for a degree of freedom analysis na unknowns Mindependent equations There are 6 unknowns shown on the flowchart: F, ,, , y, L and Q Two material balances: an acetone balance and an air balance, and one energy balance can be written. There are three additional specifications: an ideal gas law relationship for the feed gas, saturation conditions at the outlet and a sample taken of the feed gas Thus, 6 independent equations can be written Perform a degree of freedom analysis There are 0 degrees of freedom 0 degrees of freedom. The system is fully specified and the problem can be solvedWrite the equation to determine the inlet stream flow rate, F, using the ideal gas law. PV RT Write the equation to determine

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