# How Does Temperature Affect the Viscosity of Milk?

• mibson
In summary, 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. To find the values of A and B for raw milk, a graph needs to be plotted using the given viscosity and temperature values. The constants will then be determined as the gradient and y-intercept of the graph.
mibson

## 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

You need to plot a graph. The constants will be the gradient and the y intercept.

I would like to point out that the equation given is a simplified version of the Arrhenius equation, which describes the relationship between temperature and viscosity. The equation you have provided is a linear form of the Arrhenius equation, where ln(µ) is plotted against 1/T.

To find the values of A and B for raw milk, we need to have more data points. The table provided only gives one data point (K = -273.15, u = 0.00344). We would need at least one more data point to solve for A and B.

Assuming that the data point provided is accurate, we can rearrange the equation to solve for A and B.

ln(µ) = A + (B/T)

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

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

0.001039 = A - (B/273.15)

A = 0.001039 + (B/273.15)

Now, we need to find another data point to solve for B. Once we have two data points, we can set up a system of equations to solve for A and B.

I hope this helps. Don't forget to always double check your equations and make sure they make sense in the context of the problem. Good luck with your homework!

## 1. What is viscosity?

Viscosity is a measure of a fluid's resistance to flow. It is a property that describes how thick or thin a fluid is.

## 2. Why is the viscosity of milk important?

The viscosity of milk is important because it affects its texture, consistency, and how it pours. It also plays a role in its processing, packaging, and transportation.

## 3. How is the viscosity of milk tested?

The viscosity of milk is typically measured using a viscometer, which is a device that measures the force required to move a fluid at a certain rate. The results are usually reported in centipoise (cP) or millipascal seconds (mPa·s).

## 4. What factors affect the viscosity of milk?

The viscosity of milk can be affected by a variety of factors, including temperature, fat content, protein content, and the presence of additives or other substances.

## 5. How does the viscosity of milk change with age?

The viscosity of milk tends to decrease as it ages due to the breakdown of proteins and the separation of fat particles. This can result in a thinner, more watery consistency over time.

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