A small pharmaceutical firm plans to manufacture a new drug and has hired you as a consultant to design a condenser to remove the drug from a gas—vapor mixture. The mixture, which contains 20 mole% of the drug and the balance nitrogen, will be fed to the condenser at 510 K and 1 atm at a rate of 3.5L/s. Of the drug fed to the unit, 90% must be condensed. No physical property data are available for the drug, and part of your job is to acquire the data needed to design the condenser. The company has sent you a large sample of the liquid drug for this purpose. You acquire an insulated 2.000-liter container with a known heat capacity and a built-in electrical heating coil that can deliver a known heat input to the contents of the container. A calibrated thermocouple is used to measure the temperature in the vessel, and the pressure is measured with a mercury manometer. You carry out a series of experiments on a day when atmospheric pressure is 763 mm Hg. 

(a) Using the given data, determine the following physical properties of the drug: (1) liquid specific gravity. (ii) molecular weight, (iii) linear expressions for the heat capacities at constant volume [in J/(mol ∙ K)] for both the liquid and vapor [C_v = a + bT (K)], (iv) linear expressions for C_p for both liquid and vapor, (v) a Clausius—Clapeyron expression for p’(T), (vi) the normal boiling point, and (vii) the heat of vaporization (in J/mol) at the normal boiling point.

(b) Calculate the required condenser temperature, assuming operation at 1 atm.

(c) Calculate the rate at which heat must be removed in the condenser, taking the heat capacity of nitrogen to be constant at 29.0 J / (mol ∙ K).

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a, 20 kcal/mol at 90°C (Cpi 20 cal(mol c) Cvap 10 cal/(mol- C) (SG0.90 liq MW 42