Condition Air into the Human Comfort Zone<Text-field bookmark="bkmrk0" style="Heading 1" layout="Heading 1">Introduction</Text-field>Humans generally feel comfortable between temperatures of 22 \302\260C to 27 \302\260C and a relative humidity of 40% to 60%.In this application, air at 35 \302\260C and 60% relative humidity will be conditioned into the human comfort zone, with the thermodynamic process plotted on a psychrometric chart. To do this, we willfirst cool the air to 14 \302\260C (this removes some of the water from the air),and then heat the air to 24 \302\260C.Additionally, we will calculatethe heat and mass of water removed in the cooling phase,and the heat added in the heating phase.<Text-field bookmark="bkmrk1" style="Heading 1" layout="Heading 1">Plot the Comfort Zone on the Psychrometric Chart</Text-field>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Functions for the lower and upper bounds of the human comfort zone.QyQ+SSZsb3dlckc2ImYqNiNJIlRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JKVByb3BlcnR5R0YlNidJLmh1bWlkaXR5cmF0aW9HRiVJKUh1bWlkQWlyR0YlL0kiUEdGJSInRDg1L0kkVGRiR0YlOSQvSSJSR0YlJCIiJSEiIkYlRiVGJUY7QyQ+SSZ1cHBlckc2ImYqNiNJIlRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JKVByb3BlcnR5R0YlNidJLmh1bWlkaXR5cmF0aW9HRiVJKUh1bWlkQWlyR0YlL0kiUEdGJSInRDg1L0kkVGRiR0YlOSQvSSJSR0YlJCIiJyEiIkYlRiVGJUY7Shade the human comfort zone between 22 \302\260C and 27 \302\260C.QyQ+SSxjb21mb3J0Wm9uZUc2Ii1JLXNoYWRlYmV0d2VlbkdGJTYlSSZsb3dlckdGJUkmdXBwZXJHRiU7LUkiK0clKnByb3RlY3RlZEc2JCQiJjp0IyEiIyIjQS1GLTYkRjAiI0YhIiI=Plot the human comfort zone on a psychrometric chart.LUkoZGlzcGxheUc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJJnBsb3RzRzYkRiVJKF9zeXNsaWJHRig2JC1JM1BzeWNocm9tZXRyaWNDaGFydEdGKEYoSSxjb21mb3J0Wm9uZUdGKA==<Text-field bookmark="bkmrk2" style="Heading 1" layout="Heading 1">Plotting the Thermodynamic Cycle</Text-field>Initially the air is at a temperature of 35 \302\260C at a relative humidity of 60%QyQ+SSVUX18xRzYiLUkiK0clKnByb3RlY3RlZEc2JCIjTiQiJjp0IyEiIyEiIg==PkkmaHJfXzFHNiItSSlQcm9wZXJ0eUc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiRJM1RoZXJtb3BoeXNpY2FsRGF0YUc2JEYoSShfc3lzbGliR0YkNidJLmh1bWlkaXR5cmF0aW9HRiRJKUh1bWlkQWlyR0YkL0kkVGRiR0YkSSVUX18xR0YkL1EiUEYkIidEODUvUSJSRiQkIiInISIiThen, we cool the air, and calculate the temperature at saturation (that is, the temperature at which the relative humidity is 1).PkklVF9fMkc2Ii1JKVByb3BlcnR5RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJEkzVGhlcm1vcGh5c2ljYWxEYXRhRzYkRihJKF9zeXNsaWJHRiQ2J0kkVGRiR0YkSSlIdW1pZEFpckdGJC9JIlJHRiQiIiIvSSJQR0YkIidEODUvSS5odW1pZGl0eXJhdGlvR0YkSSZocl9fMUdGJA==QyQ+SSZocl9fMkc2IkkmaHJfXzFHRiUhIiI=We continue cooling along the saturation line until we reach 14 \302\260C (in this process, water condenses out of the air).QyQ+SSVUX18zRzYiLUkiK0clKnByb3RlY3RlZEc2JCIjOSQiJjp0IyEiIyEiIg==PkkmaHJfXzNHNiItSSlQcm9wZXJ0eUc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiRJM1RoZXJtb3BoeXNpY2FsRGF0YUc2JEYoSShfc3lzbGliR0YkNidJLmh1bWlkaXR5cmF0aW9HRiRJKUh1bWlkQWlyR0YkL0kkVGRiR0YkSSVUX18zR0YkL0kiUEdGJCInRDg1L0kiUkdGJCIiIg==Now we heat the air until it reaches 24 \302\260C.QyQ+SSVUX180RzYiLUkiK0clKnByb3RlY3RlZEc2JCQiJjp0IyEiIyIjQyEiIg==QyQ+SSZocl9fNEc2IkkmaHJfXzNHRiUhIiI=
Hence the entire thermodynamic cycle can then be plotted.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LUkoZGlzcGxheUc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJJnBsb3RzRzYkRiVJKF9zeXNsaWJHRig2Jy1JM1BzeWNocm9tZXRyaWNDaGFydEc2JEYlL0YnSTNUaGVybW9waHlzaWNhbERhdGFHRipGKEksY29tZm9ydFpvbmVHRihJJ3JvdXRlMUdGKEkncm91dGUyR0YoSShzYXRMaW5lR0Yo<Text-field bookmark="bkmrk3" style="Heading 1" layout="Heading 1">Heat Changes and Water Removed over the Thermodynamic Cycle</Text-field>Water removed in the cooling process (in kg water per kg dry air)LCZJJmhyX18yRzYiIiIiSSZocl9fM0dGJCEiIg==Heat removed in the cooling process (in J kg-1)QyQ+SSVoX18xRzYiLUkpUHJvcGVydHlHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSTNUaGVybW9waHlzaWNhbERhdGFHNiRGKUkoX3N5c2xpYkdGJTYnSTJlbnRoYWxweXBlcmRyeWFpckdGJUkpSHVtaWRBaXJHRiUvSSRUZGJHRiVJJVRfXzFHRiUvSSJQR0YlIidEODUvSSJSR0YlJCIiJyEiIkY8QyQ+SSVoX18zRzYiLUkpUHJvcGVydHlHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSTNUaGVybW9waHlzaWNhbERhdGFHNiRGKUkoX3N5c2xpYkdGJTYnSTJlbnRoYWxweXBlcmRyeWFpckdGJUkpSHVtaWRBaXJHRiUvSSRUZGJHRiVJJVRfXzNHRiUvSSJQR0YlIidEODUvSSJSR0YlIiIiISIiLCZJJWhfXzFHNiIiIiJJJWhfXzNHRiQhIiI=Heat added in the heating process (in J kg-1)QyQ+SSVoX180RzYiLUkpUHJvcGVydHlHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSTNUaGVybW9waHlzaWNhbERhdGFHNiRGKUkoX3N5c2xpYkdGJTYnSTJlbnRoYWxweXBlcmRyeWFpckdGJUkpSHVtaWRBaXJHRiUvSSRUZGJHRiVJJVRfXzRHRiUvSSJQR0YlIidEODUvSSJSR0YlJCIiJiEiIkY8LCZJJWhfXzRHNiIiIiJJJWhfXzNHRiQhIiI=