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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 35f

Make the following conversions: f. 0 K to °F

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1
Convert the temperature from Kelvin to Celsius using the formula: \( °C = K - 273.15 \).
Substitute the given temperature in Kelvin (0 K) into the formula to find the temperature in Celsius.
Use the conversion formula from Celsius to Fahrenheit: \( °F = \frac{9}{5} °C + 32 \).
Substitute the Celsius temperature obtained from step 2 into the formula from step 3.
Simplify the expression to find the temperature in Fahrenheit.>

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Absolute Zero

Absolute zero is the theoretical temperature at which a system's entropy reaches its minimum value, and molecular motion ceases. It is defined as 0 Kelvin (K), which is equivalent to -273.15 degrees Celsius (°C) and -459.67 degrees Fahrenheit (°F). Understanding this concept is crucial for temperature conversions, as it serves as the baseline for the Kelvin scale.
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Temperature Scales

There are several temperature scales used in science, with the most common being Kelvin, Celsius, and Fahrenheit. Each scale has its own zero point and increment size. The Kelvin scale is an absolute scale, while Celsius and Fahrenheit are relative scales based on the freezing and boiling points of water. Familiarity with these scales is essential for converting temperatures accurately.
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Temperature Conversion Formula

To convert temperatures between different scales, specific formulas are used. For converting Kelvin to Fahrenheit, the formula is °F = (K - 273.15) × 9/5 + 32. This formula accounts for the differences in zero points and the size of the degree increments between the scales, allowing for accurate temperature conversions.
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