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PY107Lab 5. Heat transfer and emulsions. Physics in Food Lab 5

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Physics in Food Lab 5

PY 107 Lab 5 
  Lab 5:  Heat transfer and emulsions -- Molten chocolate cake and lactonnaise  
 Objective I: Understand what an emulsion is, and how to stabilize an emulsion. Describe why an emulsion of two liquids can behave as a solid.  
 Objective II: To understand role of diffusion in cooking and heat transport. To relate temperature and cooking time. 
 Introduction: Emulsions and Foams While oil and water naturally want to separate from each other, oil can be mixed with water by shaking to form drops, as anyone who has mixed oil and vinegar to make salad dressing knows.  However, these drops are not stable: they coalesce and the oil quickly separates from the vinegar.  To make the emulsion stable, additional ingredients can be added: for example, mustard helps to stabilize a vinaigrette, whereas in mayonnaise it is the egg. Such ingredients contain molecules that accumulate at the boundary between the oil and water because they are amphiphilic: these molecules have both hydrophilic parts, which have an affinity for water, and hydrophobic parts, which have an affinity for oil.  Amphiphilic molecules can act as surfactants or emulsifiers and are added to improve the emulsion’s stability and prevent phase separation on timescales of cooking and eating.   Fortunately, the cells that comprise living matter contain many excellent emulsifiers such as the lipids and amphiphilic proteins that comprise cell membranes, which provide a boundary between the cell and its exterior.  Thus, mashing up the cells in a garlic clove releases emulsifying molecules that can help to stabilize the droplets of olive oil in water, yielding the creamy, garlicky aioli sauce.  Similarly mustard seed and egg yolk contain large proportions of lecithin, which is a mixture of lipids found in egg yolk and can also be readily extracted from soy beans, making it a common food additive.  Emulsions are ubiquitous in the chef’s palette, and in addition to aioli and mayonnaise, include a variety of sauces, butter, and milk. Interestingly while liquids are materials that flow, emulsions are mixtures of two fluids that in some cases behave as a solid.  A common example is mayonnaise, a mixture of water, oil and egg, where tiny oil droplets are dispersed in water. The solid-like behavior of such emulsions is the result of the large number of interfaces between the drops that make up the emulsion; these interfaces are squeezed together, making the two liquids behave as a solid. Foams are similar to emulsions, but consists of gas entrapped in a solid or liquid matrix; foams are central to the texture of myriad foods including bread, mousse, beer, cappuccino, and whipped cream; culinary foams comprised of beet or licorice root were introduced into the gastronomy world by Adriàn Ferran.  Typical foams, such as whipped cream, consist largely of gas in an aqueous phase. The origin of the solid-like behavior of a gas in a foam is the same as the origin of the solid-like behavior of a liquid in an emulsion: the gas in a foam is formed into bubbles, which are squeezed together deforming their interfaces and making them solid-like.  Similar to emulsions, a major challenge in using foams in cooking is that they are not stable: their structure changes over time as density differences between the gas bubbles and the liquid in which they are suspended leads to drainage of liquid to the bottom of the foam.  Moreover, the pressure within bubbles varies with their size: it is preferable to form larger bubbles, as smaller bubbles have higher pressures and therefore the smaller bubbles gradually shrink while the larger ones grow, leading to overall growth in the bubble size.  There are various approaches to stabilizing culinary foams.  To hinder drainage, the liquid’s viscosity can be increased: adding molecules to the fluid to increase its viscosity (such as hydrocolloids or thickeners) can help to impart foam stability.  Foam stability can also be achieved by solidifying the continuous phase: bread and meringues are good examples of how temperature can be used to create solid foams; mousse is a foam whose solid characteristics are imparted by gelation. In this lab you will make an emulsion, and investigate the effects of the stabilizing additive, a surfactant.  You will take pictures of your emulsions under the microscope, calculate the volume fraction, and use the equation of the week to estimate the elasticity.   
PY 107 Lab 5   Lab 5:  Heat transfer and emulsions -- Molten chocolate cake and lactonnaise   Objective I: Understand what an emulsion is, and how to stabilize an emulsion. Describe why an emulsion of two liquids can behave as a solid.   Objective II: To understand role of diffusion in cooking and heat transport. To relate temperature and cooking time.  Introduction: Emulsions and Foams While oil and water naturally want to separate from each other, oil can be mixed with water by shaking to form drops, as anyone who has mixed oil and vinegar to make salad dressing knows.  However, these drops are not stable: they coalesce and the oil quickly separates from the vinegar.  To make the emulsion stable, additional ingredients can be added: for example, mustard helps to stabilize a vinaigrette, whereas in mayonnaise it is the egg. Such ingredients contain molecules that accumulate at the boundary between the oil and water because they are amphiphilic: these molecules have both hydrophilic parts, which have an affinity for water, and hydrophobic parts, which have an affinity for oil.  Amphiphilic molecules can act as surfactants or emulsifiers and are added to improve the emulsion’s stability and prevent phase separation on timescales of cooking and eating.   Fortunately, the cells that comprise living matter contain many excellent emulsifiers such as the lipids and amphiphilic proteins that comprise cell membranes, which provide a boundary between the cell and its exterior.  Thus, mashing up the cells in a garlic clove releases emulsifying molecules that can help to stabilize the droplets of olive oil in water, yielding the creamy, garlicky aioli sauce.  Similarly mustard seed and egg yolk contain large proportions of lecithin, which is a mixture of lipids found in egg yolk and can also be readily extracted from soy beans, making it a common food additive.  Emulsions are ubiquitous in the chef’s palette, and in addition to aioli and mayonnaise, include a variety of sauces, butter, and milk. Interestingly while liquids are materials that flow, emulsions are mixtures of two fluids that in some cases behave as a solid.  A common example is mayonnaise, a mixture of water, oil and egg, where tiny oil droplets are dispersed in water. The solid-like behavior of such emulsions is the result of the large number of interfaces between the drops that make up the emulsion; these interfaces are squeezed together, making the two liquids behave as a solid. Foams are similar to emulsions, but consists of gas entrapped in a solid or liquid matrix; foams are central to the texture of myriad foods including bread, mousse, beer, cappuccino, and whipped cream; culinary foams comprised of beet or licorice root were introduced into the gastronomy world by Adriàn Ferran.  Typical foams, such as whipped cream, consist largely of gas in an aqueous phase. The origin of the solid-like behavior of a gas in a foam is the same as the origin of the solid-like behavior of a liquid in an emulsion: the gas in a foam is formed into bubbles, which are squeezed together deforming their interfaces and making them solid-like.  Similar to emulsions, a major challenge in using foams in cooking is that they are not stable: their structure changes over time as density differences between the gas bubbles and the liquid in which they are suspended leads to drainage of liquid to the bottom of the foam.  Moreover, the pressure within bubbles varies with their size: it is preferable to form larger bubbles, as smaller bubbles have higher pressures and therefore the smaller bubbles gradually shrink while the larger ones grow, leading to overall growth in the bubble size.  There are various approaches to stabilizing culinary foams.  To hinder drainage, the liquid’s viscosity can be increased: adding molecules to the fluid to increase its viscosity (such as hydrocolloids or thickeners) can help to impart foam stability.  Foam stability can also be achieved by solidifying the continuous phase: bread and meringues are good examples of how temperature can be used to create solid foams; mousse is a foam whose solid characteristics are imparted by gelation. In this lab you will make an emulsion, and investigate the effects of the stabilizing additive, a surfactant.  You will take pictures of your emulsions under the microscope, calculate the volume fraction, and use the equation of the week to estimate the elasticity.   
Introduction Part II. Heat Transfer:  Many transformations of food during cooking require precise temperature control, through either heating or cooling. Heating protocols in recipes can be quantitatively understood with a few simple principles from the physics of heat transfer.  (i) Different foods (Meat, fish, eggs, chocolate, etc.) require different target temperatures for the cooking to be successful, depending on the molecular transitions that must occur.   (ii) Heat is supplied by radiation from the heating element in an oven, whereas it is supplied by conduction from the heater via the bottom of the pan when grilling or cooking on a stove-top. Heat is also transported by convection if cooking in a liquid medium, such as in boiling or frying. Radiation can occur in vacuum. In conduction energy is transported from molecule to molecule by diffusion of heat. In convection molecules sink from higher density and rise from regions of lower density setting up convection currents. Convection occurs in liquids, while conduction in solids. Heat diffuses  in conduction while molecules diffuse and move in convection. Convection requires the liquid to flow. Different heating methods (baking, frying, microwaving, etc.) require different heating  protocols for optimal cooking, since they cause different temperature distributions within the food during cooking. (iii)  In all cases heat is eventually transferred through the food by diffusion. Heat is transferred between molecules through random collisions, resulting in the diffusion of heat via random walks similar to those discussed previously. The diffusion equation can be used to estimate cooking time. In this lab you will see that cooking time control is critical to achieve the liquid center of the chocolate cakes.  Here you will investigate how the texture of the cake’s interior changes with baking time, and determine the ideal baking time to maintain a molten center. 

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Physics in Food Lab 5
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Physics in Food Lab 5
From the slope of the time vs. L2 graph, calculate the diffusion coefficient D.
t= L2/ (πD)
t= R2/4D
t= 60 sec
R= 4.6
R2= (4.6)2= 21.16
Therefore, D is equal to;
4D*60= (21.16/4D) *4D
240D=21.16
D= 21.16/240 = 0.088167
How the value of D obtained from the time vs. L2 graph compares with the expected value of the heat diffusion coefficient for cake batter?
t= L2/ (πD)
t= R2/4D
t= 60 sec
R= 0.377cm
R2= (0.377)2= 0.142129
Therefore, D is equal to;
4D*60= (0.142129/4D) *4D
240D=0.142129
D= 0.142129/240 = 0.0005922042
Therefore, the value of heat diffusion coefficient for cake batter which is 0.0005922042, is less than the calculated value of D= 0.088167
Use the value of D you measured and the actual distance to the center of the cake to redo part (c) of the pre-lab and get the characteristic diffusion time
D= 0.088167
R= 4.6
t= R2/4D
t= (4.6)2/4*0.088167
t= 21.16/0.352668
t=59.999773158
t=60 sec
Compare your temperature measurements with those of the TF. How much do they agree or disagree?
At zero (0) minutes, my temperature measurement was 18.4oC, while the TF temperature was 18.7oC; at this time, the difference between the two temperatures was only 0.3oC. After ten minutes, my temperature measurement was at 70oC, while the TF temperature was 74oC. The difference between the two, after ten minutes, was 4oC. The gap continued to widen with time. After fourteen minutes, T0 was 72oC, while TF was already at 86oC (Pedersen & Myers, 2011). The difference between the two was 14oC. In just within a range of four minutes, the gap between T0 and TF had increased by 10oC. After fifteen minutes, T0 had risen to 78oC (Jorjadze, Pontani & Brujic, 2013). After one minute, the temperature had been increased by 6oC. This is partly because the oven was getting hot with time and also because the cake was transitioning from uncooked to cooked. On the other hand, after fifteen minutes, the TF was at 99oC, having risen by 13oC within one minute.
At what temperature does the cake transition from uncooked to cook—i.e., what temperature does the batter of the cake cook? Until what temperature does the chocolate remain molten, i.e., liquid?
The cake transitions from uncooked to cooked at 375 F.
Pre Lab
Which component of milk acts as the surfactant to stabilize the emulsion?
Milk contains lecithin, which is a phospholipid with both affinities for water (hydrophilic), and affinity for lipids (hydrophobic properties), which act as a surfactant (Jaber, Naterer & Dincer, 2010). Besides, milk contains casein, which is a flexible surfactant that also contains both hydrophilic and hydrophobic properties. It is present in milk, both as calcium caseinate and calcium salt. (Pedersen & Myers, 2011) It is a mixture of kappa, beta, and alpha caseins that clamp together to form a precipitate called micelle. In most mammalian milk, casein makes up approximately 82% of the milk composition. It is responsible...
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