(I) What are the following temperatures on the Kelvin scale:...

(I) What are the following temperatures on the Kelvin scale: $(a) \quad 86^{\circ} \mathrm{C}, \quad(b) \quad 78^{\circ} \mathrm{F}, \quad(c) \quad-100^{\circ} \mathrm{C}, \quad(d) \quad 5500^{\circ} \mathrm{C}$ $(e)-459^{\circ} \mathrm{F} ?$

Key Concepts

Absolute Zero

Absolute zero is the theoretical lower limit of temperature, where the motion of particles constituting matter reaches its minimum energy state. On the Kelvin scale, absolute zero is defined as 0 K, and it serves as the foundation for understanding thermal energy, entropy, and the behavior of matter at extremely low temperatures.

Fahrenheit Scale

The Fahrenheit scale sets the freezing point of water at 32°F and the boiling point at 212°F. Although commonly used in some countries for weather forecasts and domestic purposes, converting Fahrenheit to Kelvin or Celsius involves subtracting an offset, scaling the value, and then applying further conversions based on the absolute zero reference.

Temperature Conversion Formulas

Temperature conversion formulas are mathematical relationships that allow one to convert a temperature value from one scale to another. Key formulas include converting Celsius to Kelvin (by adding 273.15) and converting Fahrenheit to Kelvin (by subtracting 32, multiplying by 5/9, and adding 273.15). These formulas are fundamental for translating measurements between various units used in different fields of science and everyday applications.

Celsius Scale

The Celsius scale is a temperature scale where water freezes at 0°C and boils at 100°C under standard atmospheric conditions. It is widely used for everyday temperature measurements and scientific purposes, and it provides a simple reference for converting to the Kelvin scale by adding 273.15.

Kelvin Scale

The Kelvin scale is an absolute temperature scale used extensively in science, where 0 K (zero Kelvin) represents absolute zero—the point at which molecular energy is minimal. Unlike Celsius or Fahrenheit, the Kelvin scale does not include negative numbers and is essential for calculations in thermodynamics and physical chemistry.

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