Calculate each of the following temperatures in kelvins and degrees Fahrenheit: (3.3)b. The lowest recorded temperature in the world was 89.2 °C in Vostok, Antarctica, on July 21, 1983.
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Identify the given temperature in Celsius: 89.2 \(^\circ\text{C}\).
To convert Celsius to Kelvin, use the formula: \( K = \text{C} + 273.15 \).
Substitute the given Celsius temperature into the formula: \( K = 89.2 + 273.15 \).
To convert Celsius to Fahrenheit, use the formula: \( F = \frac{9}{5} \times \text{C} + 32 \).
Substitute the given Celsius temperature into the formula: \( F = \frac{9}{5} \times 89.2 + 32 \).
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Temperature Scales
Temperature can be measured in different scales, primarily Celsius (°C), Fahrenheit (°F), and Kelvin (K). Each scale has its own zero point and degree increments. Understanding how these scales relate to one another is crucial for converting temperatures accurately.
To convert temperatures between Celsius, Fahrenheit, and Kelvin, specific formulas are used. For instance, to convert Celsius to Kelvin, you add 273.15, and to convert Celsius to Fahrenheit, you use the formula F = (C × 9/5) + 32. Mastery of these formulas is essential for solving temperature conversion problems.
Absolute zero is the theoretical temperature at which all molecular motion ceases, defined as 0 K or -273.15 °C. This concept is important in understanding the Kelvin scale, as it provides a baseline for measuring thermal energy and temperature in scientific contexts.