The volume V(T) (in cm3) follows V(T) = l + T2.
Suppose we are interested in measuring the properties of a substance at temperature of absolute zero (which is 0 degrees Kelvin). However, we cannot measure these properties directly because it is impossible to reach absolute 0. Instead, properties are measured for small values of the temperature T, measured in kelvins. For each of the following, find
a. The limit as T → 0+.
b. How close would we be to the limit if we measured the property at 2K?
c. How close would we be to the limit if we measured the property at 1K?
d. About how cold would the temperature have to be for the property to be within 1 % of its limit?