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Question 0.1: Converting from Fahrenheit to Celsius The melting point of t......

Converting from Fahrenheit to Celsius

The melting point of table salt is 1474 ºF. What temperature is this on the Celsius and Kelvin scales?

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There are two ways to do this and every other problem in chemistry. One is to plug numbers into a formula and hope for the best; the other is to think things through to be sure you understand what’s going on. The formula approach works only if you use the right equation; the thinking approach always works. Let’s try both ways.
The formula approach: Set up an equation using the temperature conversion formula for changing from Fahrenheit to Celsius:

C° = (\frac{5 \ {}^{\circ} F}{9 \ \cancel{ {}^{\circ} F}})(1474 \ \cancel{ {}^{\circ}F} \ – \ 32 \ \cancel{ {}^{\circ} F }) = 801 \ {}^{\circ} C

Converting to kelvin gives a temperature of 801° + 273.15° = 1074 K.
The thinking approach: We’re given a temperature in degrees Fahrenheit, and we need to convert to degrees Celsius. A temperature of 1474 !F corresponds to 1474 °F – 32 °F = 1442 °F above the freezing point of water. Because a degree Fahrenheit is only 5/9 as large as a degree Celsius, 1442 degrees Fahrenheit above freezing equals 1442 × 5/9 = 801 degrees Celsius above freezing (0 °C), or 801 °C. The same number of degrees above freezing on the Kelvin scale (273.15 K) corresponds to a temperature of 273.15 + 801 = 1074 K.
Because the answers obtained by the two approaches agree, we can feel fairly confident that our thinking is following the right lines and that we understand the subject. (If the
answers did not agree, we’d be alerted to a misunderstanding somewhere.)

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