A Wall-street billionaire builds a 10,000 sq ft dream house in Rochester, Minnesota (Nobody knows why he built it there). The house has an estimated NLC/ft² of 6 Btu/(F-HDD ft²). Assuming all of 10,000 sq ft of area is to be air-conditioned, estimate the characteristics of an effective passive solar design and the auxiliary heating required. Also estimate the thermal storage mass required. Assume LCR for Cold Climate 22 Btu/ FHDD ft² .

Global K. Cloudiness Index -8.38 - 2.33 1.16 7.38 13.05 2022 15,16 1409.8 Insolation and Temperature Data Maximum Minimum Average Heating Cooling Total Global Daily Daily Monthly Degree Days Degree Days Radiation Temp. C Temp. C Temp. C Base 18.3 C Base 18.3 C kJ/m Jan -5.61 - 15.61 - 10.61 897 0 5413.0 Feb -3.11 - 13.66 748 0 8543.0 Mar 2.50 n -7.16 640 0 12278.0 Apr 12.72 6.94 341 n 0 16000.0 . . 19.50 10 May 13.44 162 162 10 19243.0 ee 1899 12 June 24.66 18.88 60 45 21584.0 200 2440 15.27 July 99 27.05 21.16 21664.0 26.33 1427 14.27 Aug 19 81 19 18864.0 2420 005 Sept 21.22 102 9.05 7 102 14186.0 Oct 15.77 3.72 077 3.72 9.77 269 9870.0 Nov 4.94 - 4.33 0.33 540 o 5609.0 Dec -2.83 - 11.72 793 0 4200.0 Ann 11.94 0.94 6.44 263 13121.0 Maximum Minimum Average Heating Cooling Total Global Daily Daily Monthly Degree Days Degree Days Radiation Temp. F Temp. F Temp. F Base 65 F Base 65 F Btu/ft? Jan 21.9 3.9 12.9 1615 477.0 Feb 26.4 7.4 16.9 1346 752.8 Mar 36.5 19.1 27.8 1152 1081.9 Apr 54.9 34.1 44.5 0 614 14.0 May 67.1 45.3 56.2 292 45.3 18 1695.6 67.1 764 June 55.5 66.0 77 108 1901.9 10.4 55.5 000 July 807 59.5 20 70.1 OU. 39.9 178 1908.9 794 57.7 68.6 Aug 34 146 1662.2 19.4 31. 00.0 Sept 702 48.3 59.3 10.2 48.3 02.0 184 Oct 60.4 38.7 49.6 484 869.7 Nov 40.9 24.2 32.6 972 494.2 Dec 26.9 10.9 18.9 1427 370.1 Ann 53.5 33.7 43.6 8226 473 1156.1 0.417 0.465 0.472 0.473 0.487 0.514 0.531 0.521 22! 0.486 0.463 0.382 0.365 0.481 - 7.27 4570 ., 000 Total Global Radiation Langleys 129.4 204.2 293.5 382.4 459.9 515.9 517.8 450.9 100 339.1 ! 235.9 134.1 100.4 313.6 1250.0 STATION NO. 14925 Rochester, Minnesota LATITUDE: 43 55' N LONGITUDE: 92 30' W ELEVATION: 402 meters (1318.6 feet) 112 Global K. Cloudiness Index -8.38 - 2.33 1.16 7.38 13.05 2022 15,16 1409.8 Insolation and Temperature Data Maximum Minimum Average Heating Cooling Total Global Daily Daily Monthly Degree Days Degree Days Radiation Temp. C Temp. C Temp. C Base 18.3 C Base 18.3 C kJ/m Jan -5.61 - 15.61 - 10.61 897 0 5413.0 Feb -3.11 - 13.66 748 0 8543.0 Mar 2.50 n -7.16 640 0 12278.0 Apr 12.72 6.94 341 n 0 16000.0 . . 19.50 10 May 13.44 162 162 10 19243.0 ee 1899 12 June 24.66 18.88 60 45 21584.0 200 2440 15.27 July 99 27.05 21.16 21664.0 26.33 1427 14.27 Aug 19 81 19 18864.0 2420 005 Sept 21.22 102 9.05 7 102 14186.0 Oct 15.77 3.72 077 3.72 9.77 269 9870.0 Nov 4.94 - 4.33 0.33 540 o 5609.0 Dec -2.83 - 11.72 793 0 4200.0 Ann 11.94 0.94 6.44 263 13121.0 Maximum Minimum Average Heating Cooling Total Global Daily Daily Monthly Degree Days Degree Days Radiation Temp. F Temp. F Temp. F Base 65 F Base 65 F Btu/ft? Jan 21.9 3.9 12.9 1615 477.0 Feb 26.4 7.4 16.9 1346 752.8 Mar 36.5 19.1 27.8 1152 1081.9 Apr 54.9 34.1 44.5 0 614 14.0 May 67.1 45.3 56.2 292 45.3 18 1695.6 67.1 764 June 55.5 66.0 77 108 1901.9 10.4 55.5 000 July 807 59.5 20 70.1 OU. 39.9 178 1908.9 794 57.7 68.6 Aug 34 146 1662.2 19.4 31. 00.0 Sept 702 48.3 59.3 10.2 48.3 02.0 184 Oct 60.4 38.7 49.6 484 869.7 Nov 40.9 24.2 32.6 972 494.2 Dec 26.9 10.9 18.9 1427 370.1 Ann 53.5 33.7 43.6 8226 473 1156.1 0.417 0.465 0.472 0.473 0.487 0.514 0.531 0.521 22! 0.486 0.463 0.382 0.365 0.481 - 7.27 4570 ., 000 Total Global Radiation Langleys 129.4 204.2 293.5 382.4 459.9 515.9 517.8 450.9 100 339.1 ! 235.9 134.1 100.4 313.6 1250.0 STATION NO. 14925 Rochester, Minnesota LATITUDE: 43 55' N LONGITUDE: 92 30' W ELEVATION: 402 meters (1318.6 feet) 112