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Chapter 1: Problem 19

(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?

Short Answer

Expert verified
The temperature of 105 degree Fahrenheit in Celsius is approximately 40.56 degree Celsius. The freezing temperature of ethylene glycol in Fahrenheit is approximately 11.3 degree Fahrenheit. The temperature on the surface of the sun in Fahrenheit is approximately 11372 degree Fahrenheit. The ignition temperature of paper in Celsius is approximately 232.78 degree Celsius.

Step by step solution

01

Converting 105 degree Fahrenheit to Celsius

Start by subtracting 32 from 105. Then, multiply the result by 5/9. Thus, \(C = (105 - 32) \times \frac{5}{9} = 40.56^{\circ}C\)
02

Converting -11.5 degree Celsius to Fahrenheit

Multiply -11.5 by 9/5 and then add 32 to the result. Thus, \(F = -11.5 \times \frac{9}{5} + 32 = 11.3^{\circ}F\)
03

Converting 6300 degree Celsius to Fahrenheit

Multiply 6300 by 9/5 and then add 32. Thus, \(F = 6300 \times \frac{9}{5} + 32 = 11372^{\circ}F\)
04

Converting 451 degree Fahrenheit to Celsius

Start by subtracting 32 from 451, then multiply the result by 5/9. Thus, \(C = (451 - 32) \times \frac{5}{9} = 232.78^{\circ}C\)

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Most popular questions from this chapter

(a) Convert the following temperatures to kelvin: (i) \(113^{\circ} \mathrm{C},\) the melting point of sulfur, (ii) \(37^{\circ} \mathrm{C}\), the normal body temperature, (iii) \(357^{\circ} \mathrm{C},\) the boiling point of mercury. (b) Convert the following temperatures to degrees Celsius: (i) \(77 \mathrm{~K}\), the boiling point of liquid nitrogen, (ii) \(4.2 \mathrm{~K},\) the boiling point of liquid helium, (iii) \(601 \mathrm{~K}\), the melting point of lead.

Mercury is the only metal that is a liquid at room temperature. Its density is \(13.6 \mathrm{~g} / \mathrm{mL}\). How many grams of mercury will occupy a volume of \(95.8 \mathrm{~mL} ?\)

A gas company in Massachusetts charges \(\$ 1.30\) for \(15.0 \mathrm{ft}^{3}\) of natural gas. (a) Convert this rate to dollars per liter of gas. (b) If it takes \(0.304 \mathrm{ft}^{3}\) of gas to boil a liter of water, starting at room temperature \(\left(25^{\circ} \mathrm{C}\right)\), how much would it cost to boil a \(2.1-\mathrm{L}\) kettle of water?

At what temperature does the numerical reading on a Celsius thermometer equal that on a Fahrenheit thermometer?

Write the numbers for these prefixes: (a) mega-,(b) kilo-, (c) deci-, (d) centi-, (e) milli-, (f) micro-, (g) nano-, (h) pico-.
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