How Does Temperature Affect the Viscosity of Milk?

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SUMMARY

The viscosity of milk is influenced by temperature, which can be mathematically described by the equation ln(µ) = A + (B/T), where µ is dynamic viscosity and T is temperature in Kelvin. To determine the constants A and B for raw milk, one must use provided viscosity and temperature data to create a graph. The slope of the graph represents the constant B, while the y-intercept corresponds to A. This method allows for the calculation of both constants from the relationship established in the equation.

PREREQUISITES
  • Understanding of dynamic viscosity and its significance in fluid mechanics.
  • Familiarity with the Kelvin temperature scale and its application in scientific equations.
  • Basic knowledge of logarithmic functions and their properties.
  • Ability to plot graphs and interpret linear relationships.
NEXT STEPS
  • Learn how to plot graphs using temperature and viscosity data to determine constants.
  • Study the properties of logarithmic functions in relation to physical equations.
  • Explore the significance of viscosity in various fluids, particularly in dairy science.
  • Investigate the impact of temperature on the viscosity of other liquids for comparative analysis.
USEFUL FOR

Students in chemistry or physics, researchers studying fluid dynamics, and professionals in the dairy industry seeking to understand the properties of milk under varying temperatures.

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Homework Statement



The change of viscosity with temperature can be described using the general equation
ln(µ) = A + (B/T), where µ represents dynamic viscosity, T represents temperature (Kelvin), and A and B are constants.

a) Find the values of A and B for raw milk, using the viscosity and temperature values given in the
table below.

eg K = -273.15, u = 0.00344

Homework Equations



ln(µ) = A + (B/T)

The Attempt at a Solution



ln(0.00344) = A + (B/-273.15)

I don't understand how to calculate A and B since there are two variables and only one equation? Can someone help me work out this question?

Perhaps the answer is a ratio of A and B?

Thanks so much,
Kev
 
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You need to plot a graph. The constants will be the gradient and the y intercept.
 

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