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Chapter 1: Problem 57

Convert the following Fahrenheit temperatures to the Celsius and Kelvin scales. a. \(-459^{\circ} \mathrm{F}\), an extremely low temperature b. \(-40 .^{\circ} \mathrm{F}\), the answer to a trivia question c. \(68^{\circ} \mathrm{F}\), room temperature d. \(7 \times 10^{7 \circ} \mathrm{F}\), temperature required to initiate fusion reactions in the sun

Short Answer

Expert verified
a. Fahrenheit temperature: \(-459^{\circ}\) F Celsius: \( -273.15^{\circ}\) C, Kelvin: \(0 \,\mathrm{K}\) b. Fahrenheit temperature: \(-40^{\circ}\) F Celsius: \(-40^{\circ}\) C, Kelvin: \(233.15 \,\mathrm{K}\) c. Fahrenheit temperature: \(68^{\circ}\) F Celsius: \(20^{\circ}\) C, Kelvin: \(293.15 \,\mathrm{K}\) d. Fahrenheit temperature: \(7 \times 10^{7 \circ}\) F Celsius: \(3.89 \times 10^{7^{\circ}}\) C, Kelvin: \(3.89 \times 10^{7} + 273.15 \,\mathrm{K}\)

Step by step solution

01

Celsius conversion

Apply the Fahrenheit to Celsius conversion formula: \(C = (-459 - 32) \frac{5}{9}\)
02

Kelvin conversion

Apply the Fahrenheit to Kelvin conversion formula: \(K = (-459 - 32)\frac{5}{9} + 273.15\) b. Fahrenheit temperature: \(-40^{\circ}\) F
03

Celsius conversion

Apply the Fahrenheit to Celsius conversion formula: \(C = (-40 - 32) \frac{5}{9}\)
04

Kelvin conversion

Apply the Fahrenheit to Kelvin conversion formula: \(K = (-40 - 32)\frac{5}{9} + 273.15\) c. Fahrenheit temperature: \(68^{\circ}\) F
05

Celsius conversion

Apply the Fahrenheit to Celsius conversion formula: \(C = (68 - 32) \frac{5}{9}\)
06

Kelvin conversion

Apply the Fahrenheit to Kelvin conversion formula: \(K = (68 - 32)\frac{5}{9} + 273.15\) d. Fahrenheit temperature: \(7 \times 10^{7 \circ}\) F
07

Celsius conversion

Apply the Fahrenheit to Celsius conversion formula: \(C = (7 \times 10^{7} - 32) \frac{5}{9}\)
08

Kelvin conversion

Apply the Fahrenheit to Kelvin conversion formula: \(K = (7 \times 10^{7} - 32)\frac{5}{9} + 273.15\) Once all the conversions are done, we will have the temperatures in Celsius and Kelvin for all the given Fahrenheit temperatures.

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Most popular questions from this chapter

If a piece of hard, white blackboard chalk is heated strongly in a flame, the mass of the piece of chalk will decrease, and eventually the chalk will crumble into a fine white dust. Does this change suggest that the chalk is composed of an element or a compound?

At what temperature is the temperature in degrees Fahrenheit equal to twice the temperature in degrees Celsius?

Evaluate each of the following, and write the answer to the appropriate number of significant figures. a. \(212.2+26.7+402.09\) b. \(1.0028+0.221+0.10337\) c. \(52.331+26.01-0.9981\) d. \(2.01 \times 10^{2}+3.014 \times 10^{3}\) e. \(7.255-6.8350\)

The scientific method is a dynamic process. What does this mean?

The hottest temperature recorded in the United States is \(134^{\circ} \mathrm{F}\) in Greenland Ranch, CA. The melting point of phosphorus is \(44^{\circ} \mathrm{C}\). At this temperature, would phosphorus be a liquid or a solid?
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