Heat: Specific Heat (Method of Mixtures)
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Water in an open metal drum is to be heated from room temperature (25 degree C) to 80 degree C by adding steam slowly enough that all the steam condenses. The drum initially contains 100 kg of water, and steam is supplied at 3.0 bar and 300C. How many kilograms of steam should be added so that the final temperature of the water in the tank is exactly 80C? Neglect all heat losses from the water in this calculation.
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Solution Summary
The specific heat for method of mixtures are examined.
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Let mass of steam required to be added for raising the temp of water from 25 deg C to 80 deg C be m kg.
Mass of water present initially = 100 kg
From the steam table we obtain the following enthalpy (total heat content) values (http://www.steamtablesonline.com/steam97web.aspx)
Steam at 3 bar, 300OC - 3069.61 kJ/kg
Steam at 1 bar, 300OC - 3074.54 kJ/kg
Steam at 1 bar, 100OC - 2675.77 kJ/kg
As ...
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