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Chapter 1: Problem 16

Write the equations for converting degrees Celsius to degrees Fahrenheit and degrees Fahrenheit to degrees Celsius.

Short Answer

Expert verified
The formulas are: \(F = C \times \frac{9}{5} + 32\) to convert from Celsius to Fahrenheit and \(C = (F - 32) \times \frac{5}{9}\) to convert from Fahrenheit to Celsius.

Step by step solution

01

Converting Celsius to Fahrenheit

The formula to convert from degrees Celsius to degrees Fahrenheit is \(F = C \times \frac{9}{5} + 32\), where \(F\) is the temperature in degrees Fahrenheit and \(C\) is the temperature in degrees Celsius. In this formula, the Celsius temperature is first multiplied by \(\frac{9}{5}\), then 32 is added to the result.
02

Converting Fahrenheit to Celsius

The formula to convert from degrees Fahrenheit to degrees Celsius is \(C = (F - 32) \times \frac{5}{9}\), where \(F\) is the temperature in degrees Fahrenheit and \(C\) is the temperature in degrees Celsius. In this formula, 32 is subtracted from the Fahrenheit temperature, then the result is multiplied by \(\frac{5}{9}\).

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Most popular questions from this chapter

Fluoridation is the process of adding fluorine compounds to drinking water to help fight tooth decay. A concentration of 1 ppm of fluorine is sufficient for the purpose. (1 ppm means \(1 \mathrm{~g}\) of fluorine per 1 million g of water.) The compound normally chosen for fluoridation is sodium fluoride, which is also added to some toothpastes. Calculate the quantity of sodium fluoride in kilograms needed per year for a city of 50,000 people if the daily consumption of water per person is 150 gallons. What percent of the sodium fluoride is "wasted" if each person uses only \(6.0 \mathrm{~L}\) of water a day for drinking and cooking? (Sodium fluoride is 45.0 percent fluorine by mass. 1 gallon \(=3.79 \mathrm{~L} ; 1\) year \(=365\) days; density of water \(=1.0 \mathrm{~g} / \mathrm{mL} .)\)

Classify each of these as an element or a compound: (a) sodium chloride (table salt), (b) helium, (c) alcohol, (d) platinum.

(a) Normally the human body can endure a temperature of \(105^{\circ} \mathrm{F}\) for only short periods of time without permanent damage to the brain and other vital organs. What is this temperature in degrees Celsius? (b) Ethylene glycol is a liquid organic compound that is used as an antifreeze in car radiators. It freezes at \(-11.5^{\circ} \mathrm{C}\). Calculate its freezing temperature in degrees Fahrenheit. (c) The temperature on the surface of the sun is about \(6300^{\circ} \mathrm{C}\). What is this temperature in degrees Fahrenheit? (d) The ignition temperature of paper is \(451^{\circ} \mathrm{F}\). What is the temperature in degrees Celsius?

How many minutes does it take light from the sun to reach Earth? (The distance from the sun to Earth is 93 million mi; the speed of light \(=3.00 \times\) \(\left.10^{8} \mathrm{~m} / \mathrm{s} .\right)\)

How many seconds are in a solar year \((365.24\) days \() ?\)
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