Powering Disney’s Frozen with a Carnot Refrigerator

Aaron Goldberg


Frozen is Disney’s latest film, in which the character Elsa unleashes winter on her entire kingdom. This paper quantifies the amount of water frozen and the amount of work required by a Carnot refrigerator to do so, arriving at values of 5.49772788x10^12 moles and 5.8x10^15 Joules, respectively.


Film; Physics; Thermodynamics; Frozen

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Walt Disney Animation Studios, Frozen, 2013.

Dawson March, C., Disney's Frozen: Inspired by Norway's beauty, The Globe and Mail (2013). http://www.theglobeandmail.com/life/travel/disneys-frozen-inspired-by-norways-beauty/article15617632/

Nærøyfjorden, Norwegian Encyclopedia (2013). http://snl.no/N%C3%A6r%C3%B8yfjorden

Ginnings, D.C. and Corruccini, R.J., An Improved Ice Calorimeter – the Determination of its Calibration Factor and the Density of Ice at 0°C, Journal of Research of the National Bureau of Standards 38, 583-591 (1947). http://nvlpubs.nist.gov/nistpubs/jres/38/jresv38n6p583_A1b.pdf

Barlow, P.M., Ground Water in Freshwater-Saltwater Environments of the Atlantic Coast, U.S. Geological Survey, 1262, 14 (2003). http://pubs.usgs.gov/circ/2003/circ1262/

National Institue of Standards and Technology, Water, NIST Standard Reference Database 69: NIST Chemistry WebBook (2011). http://webbook.nist.gov/cgi/cbook.cgi?Source=2002WAG%2FPRU387-535

National Institue of Standards and Technology, Isobaric Properties for Water, NIST Standard Reference Database 69: NIST Chemistry WebBook (2011). http://webbook.nist.gov/cgi/fluid.cgi?P=1&TLow=270&THigh=298.15&TInc=2&Digits=5&ID=C7732185&Action=Load&Type=IsoBar&TUnit=K&PUnit=atm&DUnit=mol%2Fl&HUnit=kJ%2Fmol&WUnit=m%2Fs&VisUnit=uPa*s&STUnit=N%2Fm&RefState=DEF

Giauque, W.F. and Stout, J.W., The Entropy of Water and the Third Law of Thermodynamics. The Heat Capacity of Ice from 15 to 273°K, Journal of the American Chemical Society 58 1144–1150 (1936).

Penney, W.G., Samuels, D.E.J., and Scorgie, G.C., The Nuclear Explosive Yields at Hiroshima and Nagasaki, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 266, 357-424 (1970).


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