Final answer:
Without specific information on the new 'z' scale, it is impossible to convert the temperature of 100 °z to the Celsius scale. For known scales like Reaumur, conversion involves comparing the intervals between freezing and boiling points of water to derive a formula.
Step-by-step explanation:
To convert the temperature of 100 °z on the scale created by a demented scientist, which isn't standard, to the Celsius scale, we first need to understand the base units and scale used. However, since the question does not provide specific information about this new z-scale, we cannot proceed without knowing how it relates to the Celsius scale. In general, for well-known scales like the Reaumur scale, we can use a formula to convert temperatures to Celsius. For instance, on the Reaumur scale, 100°C equals 80°R. Since both the Reaumur and Celsius scales start at 0° for the freezing point of water, the formula is straightforward, where T°R = (T°C × 4) / 5.
Comparing scales often involves creating a conversion formula based on the fixed points of water's freezing and boiling temperatures. As established, the Celsius scale is divided into 100 intervals between these two points. The Reaumur scale uses 80 intervals; Fahrenheit uses 180 intervals between the same two points, where each degree Celsius is 1.8 times larger than one degree Fahrenheit. Adjusting for these intervals allows us to convert between scales using definite mathematical relationships.