FOOD 2010 Study Guide - Enthalpy, Joule

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Mass of steam= m cider/m steam + water = 28. 04 kg. I have calculated the enthalpy to convert 50% water to steam as 1128. 53 kj: from there, we can add q from the water side which i"ve got as 62. 7 kj, this gives a total of 1191. 23 kj and therefore dividing it by the q of apple cider, we get a final answer of 28. 04 kg of steam needed to heat the apple cider, the only thing i am wondering, is if we need to subtract 419. 04 kj (amount of energy in 1 kg of 100 degree water) from the enthalpy required to convert 50% steam (1128. 53 kj), this would then change our total enthalpy required to 772. 19 kj (1128. 53 419. 04+62. 7) and resulting in a final mass of 43. 26 kg of steam required vs. the original 28. 04 kg that was calculated. The answer for this question is 28. 033 kg.