The relation T=190(1/2)^1/10 can be used to determine the length of time, t, in hours, that milk of a certain fat content will remain fresh. T is the storage temperature, in degrees Celsius.

A.) What is the freshness half life of milk?
B.) How long will milk keep fresh at 4 degrees Celsius?

Question

The relation T=190(1/2)^1/10 can be used to determine the length of time, t, in hours, that milk of a certain fat content will remain fresh. T is the storage temperature, in degrees Celsius.

A.) What is the freshness half life of milk?
B.) How long will milk keep fresh at 4 degrees Celsius?

anonymous · Answer

The half life $\lambda$ is when: $$
\frac{T(t+\lambda)}{T(t)} = \frac 12
$$