Research Bulletin No. 14

October, 1913

THE SPECIFIC HEAT OF MILK AND MILK DERIVATIVES BY B. W. HAMMER AND A. R. JOHNSON

AGRICULTURAL EXPERIMENT STATION IOWA STATE COLLEGE OF AGRICULTURE AND THE MECHANIC ARTS

DAIRY SECTION

AMES, IOWA

OFFICERS AND STAFF

IOWA AGRICULTURAL EXPERIMENT STATION STATE BOARD OF EDUCATION. Hon. Hon. Hon. Hon. Hon. Hon. Hon. Hon. Hon.

J . H . Trewin, Cedar Rapids. A. B. Funk, Spirit Lake. George T . Baker, Davenport. Charles R . Brenton, Dallas Center. E . P . Schoentgen, Council BlulIs. Parker K. Holbrook, Onawa. D. D . Murphy, Elkader . Roger Leavitt, Cedar Falls. Henry M. Eich er, Washington.

OFFICERS. Hon. J . H. Trewln, Cedar Rapids ......... .... . ... . ... .. ... . .. .... President Hon. D. A . Emery, Ottumwa .. ... ..... .... .. .... . . .. ... . ........ Secretary FINANCE COMMITTEE. Hon. W. R. Boyd, President, Cedar Rapids. Hon. Thos. Lambert, Sabula. Hon. D. A . Emery, Secretary, Ottumwa. AGRICULTURAL EXPERIMENT STATION STAFF. Raymond A. Pearson, M. S. A ., LL. D., President. C. F. Curtiss, M. S. A ., D. S., Director. W. H. Stevenson, A. B ., B. S. A., Vice Director. J. B. Davldson, ·B. S., M. E., Chief In Agricultural Engineering. Arthur W. GrllIin, Assistant Chief In Agricultural Engineering. W. H . Stevenson, A. B., B. S. A., Chief In Agronomy. H . D . Hughes, B. S., M. S. A., Chief In Farm Crops. L. C. Burnett, M. S. A ., Assistant Chief In Cereal Breeding. P. E. Brown, B. S., A . M., Ph. D. , Assistant Chief In Soil Bacteriology. John Buchanan, B . S. A., Superintendent of Co-operative Experiments. R. S. Potter, A. B., M. S., Ph. D., Assi stant in Soil Ch e mistry. L. W . Forman, B. S., M. S., Assistant In SOils . Charles R. Forest, Field Superintendent. E. H , Kellogg, B. S., Assistant In So il Che mistry. Robt. Snyder , B. S., Assistant In Soil Chemistry. W. H. Pew, B. S. A., Chief In Animal Husbandry. John M . Evvard, M. S., Assistant Chief In Animal Husbandry. H. H. Kildee, B. S. A., Assistant Chief In Dairy Husbandry. Geo. M. Turpin, B. S., Assistant Chief In Poultry Husbandry. D. B. Adams, Herdsman. R. E . Buchanan, M. S., Ph. D ., Chief In Bacteriology; Associate In Dairy and Soil Bacteriology. L. H. Pammel, B . Agr., M. S., Ph. D., Chief in Botany. Charlotte M. King, Assistant Chief In Botany. Harriette Kellogg, A. M., Assistant In Botany. A. W. Dox, B. S., A . M., Ph. D., Chief In Chemistry. R. E. Neidig, M . S., Ass istant In Chemistry. W. G. Gaessler, B. S., Assistant In Chemistry. S. C. Guernsey, B. S. A., M. S., Assistant In Chemistry. W. Eugene Ruth, M. S., Assistant In Chemistry. J . W. Bowen, A . M., A s si stant In Chemistry. M. Mortensen, B. S. A., Chief in Dairying. B. W. Hammer, B . S. A. , Assistant Chief In Dairy Bacteriology. H . E. Summers, B. S. , Chief In Entomology. R. L. Webster, A. B ., Assistant Chief In Entomology. S. A. Beach, B. S. A., M. S. A., Chief In Horticulture and Forestry. Laure nz Greene, B. S. A. , M. S. A., Assistant Chief in Pomology. A. T. Erwin, M. S., Assistant Chief In Truck Crops. G. B. MacDonald, B . S. F ., Assistant Chief In Forestry. J. H. Allison, Assistant In Plant Introduction. T. J. Maney, Assistant in Horticulture. C. H. Stange, D . V. M., Chief In Veterinary Medicine. F . W. Beckman. Ph. B., Bulletin Editor. F . E. Colburn, Photographer.

THE SPECIFIC HEAT OF MILK AND MILK DERIVATIVES BY B. W. HAMMER AND A. R. JOHNSON.*

In a great many dairy processes where hea,t is used, the amount and intensity of the energy necessary to gain a certain endproduct are very important. These factors are important not only because heat, like material commodities, is an item of expense, but also, because too great an intensity of tempel'alture, or too prolonged an application, may cause serious chemical and physical changes in the substance worked with. The amount of heat which it takes to raise unit weight of a substance unit temperature depends, first, upon its chemical nature and, second, upon its physical state. The ratio between the number of calories required to raise a given weight of a substance through a given tempera,t ure interval, and the number of calories required to raise the same weight of the standard substance through the same temperature interval is called the "specific heat" of the substance. Water is always the standard substance and so the specific heat of a substance is the number of calories required to raise one gram or one pound one degree Centigrade or Fahrenheit, respectively. The heat capacity of a substance is obviously its specific heat multiplied by the quantity of the substance. The heat capacity of a system is the sum of the heat capacities of all the substances in the system. It is particularly important to bear in mind that the specific heat of a substance is not the same at all temperatures, though for most substances the changes are not great so long as the substance remains in the same physical state. But for different substances, or for the same substance in different physico-chemical conditions, the specific heats are very different. This makes specific heat a very important factor when handling large quantities of any substance which must be raised or lowered in temperature, and especially when the time and cost elements enter. Persons interested in milk and milk derivatives who have to deal with great quantities of these materials upon narrow margins, both financially and in the matter of temperature control, face the necessity of a knowledge of all factors of any considerable magnitude. In pasteurizing it is desirable to know the amount of heat required to bring a definite amount of milk or cream from the 'Formerly Assistant Professor of Physical Ohemistry. Iowa State College.

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t.emperature at which it has been delivered or held up to the temperature used in pasteurizing, as well as the amount of refrigeration required to cool the same material down to a temperature satisfactory for storage or for inoculation. Although the losses which constantly occur, and which depend on a number of factors, prevent the exact computation of the amoun: · of heat or refrigeration through a knowledge of specific heats alone, still, the exact experimental values are of great importance in calculating the cost of pasteurization, particularly when large quantities of material are being handled. The increasing use of pasteurization, both in plants selling milk, and in plants manufacturing butter, or ice cream from pasteurized cream, makes the specific heat values of increasing importance. In calculat- ' ing the cost of storing butter, and hardening ice creams the respective specific heats are also essential. Prof. M. Mortenson of the dairy section of the Iowa Agricultural Experiment Station has recently called attention to the importance of the specific heat of the mix in ice cream work. Aside from the question of cost of hardening, the specific heat of the mix is apparently of significance in its effect on the palate, the sherbets and low fat ice creams with a higher specific heat seemingly tasting colder than ice creams carrying considerable fat and accordingly having a lower . 5-. specific heat. APPARATUS DESIGNS.

In the prosecution of the work on the specific heat of milk and its derivatives herein described, two designs of specific heat apparatus were evolved. In both the electric current is used for heating,' but with one a variable voltage may be used, while with the other a very constant voltage is necessary. . In appa!ratus' No; 1, for variahfe voltage, fig. 1, the outer insulating walls (1) of the -a,p paratus consist of pressel1

Fig .. l

453 cork, such as is used in the construction of refrigerators and thermostats. In the cylindrical cavity (2), which may be gouged out with a sharp paring knife, is the copper (or glass) calorimeter vessel (3) (Diam.= 6.25 cm. Height=S.75 cm.) for holding 100 gms. of sample; (4) is another copper vessel (D=4.7 cm. H.=S.l cm.) with a capacity of 100 gms. of water in which is immersed an electric light bulb and a thermometer to which a stirrer is attached. The vessel is arranged with a tight fitting cap having a bayonet c·atch. Leads from the electric lamp pass up through a fibre or glass tube (5) which also serves as a handl e for the whole vessel and its contents which we may call the " heater." The upper portion (6) of the cork insulating vessel has cut through it a cylindrical hole just a trifle greater in diameter and deeper than the heater. Between the upper and lower portions of the cork container is a heavy asbestos board partition (7 ) the middle third of which is a slide that may be r eadily inserted or withdrawn. OPERATION OF THE APPARATUS.

Th e operation of the apparatus is as follows: 100 gms. of milk is weighed in the vessel (3) which is placed in the cork thermostat. A thermometer (S) r eading to .1 degree C. is then inserted. 'l'he electric current is turned on the heater (4) and this allowed to come to a suitable t emperature outside of the thermostat. If the temperature of th e milk is 20 degree C. it will be sufficient to heat the heat er to about 45 degrees C. It is then placed in the cavity (9) and allowed to come to a condition such tha.t radiation takes place r egularly, the thermometer (S) is r ead, and when t.he mercury of the thermometer (10) comes to a chosen mark the heater is dropped down into the liquid in the calorimeter vessel. The liquids of both vessels are agitated regularly until the thermometer (S) shows the maximum rise of temperature. Results are gotten for ,,-ater and the substance in hand for the same range of temperature. 'fhe specific heat of the substance is inversely proportional to the temperature rise, the rise being compared with tllat of water under like conditions. Corrections for radiation and the water equivalent of the calorimeter must of course be appli ed. THE SECOND APPARATUS.

Apparatus No.2 for constant voltage is shown in fig. 2, which is a cross-section drawing of a very satisfactory apparatus, not only for milk but for any liquid which is not appreciably volatile at ordinary temperatures. Part (1) is a Dewar flask supported in a wooden base and provided with a hollow wooden cover (2) . This cover is attached to a clamp which slides up or down on the rod (3) . From the cover of the vessel a small, nar-

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row shank, 8 C. P. electric lamp projects down into the calorimeter vessel (4). The calorimeter vessel if; made of thin copper or glass as de, 7 sired, with a capacity of 500 c. c. Smaller vessels may, of course, be used. The Dewar vessel should be about 12.5 centimeters internal diamter and 15.0 centimeters deep. The bottom is provided with a cork false bottom and small cork pyramids for the calorimeter to rest Fig. 3 upon. A stirrer (5) in the form of a propeller may be clamped on to the lamp and the whole rotated by a motor belted to the pulley (6), or a reciprocating stirFig. 2 rer may be provided. A good recipr00ating stirrer of fine wire gauze soldered on two concentric wire rings is shown in fig. 3. The two holes are for admitting the lamp and thermometer. If a Dewar flask is not obtainable a oork thermostat may be provided as shown in the accompanying photographs fig. 4 and fig. 4a. Such a thermostat has been used by the authors and found to give very satisfactory results. As shown diagrammatically in fig. 2, the lamp is connected in series with a storage battery, ammeter and switch. A voltmeter is placed across the lamp. DETERMINING THE SPECIFIC HEAT.

The specific heat of a liquid may be determined by either of two methods: a weighed sample of water is placed in the calorimeter, the temperature noted on the thermometer (7), the current turned on for say five minutes,