Solution Found!
Perform each temperature conversion.(a) 212 °F to Celsius (temperature of boiling
Chapter 3, Problem 65P(choose chapter or problem)
Perform each temperature conversion.
(a) \(212\ ^{\circ}\mathrm{F}\) to Celsius (temperature of boiling water)
(b) 77 K to Fahrenheit (temperature of liquid nitrogen)
(c) \(25\ ^{\circ}\mathrm{C}\) to kelvins (room temperature)
(d) \(98.6\ ^{\circ}\mathrm{F}\) to kelvins (body temperature)
Questions & Answers
QUESTION:
Perform each temperature conversion.
(a) \(212\ ^{\circ}\mathrm{F}\) to Celsius (temperature of boiling water)
(b) 77 K to Fahrenheit (temperature of liquid nitrogen)
(c) \(25\ ^{\circ}\mathrm{C}\) to kelvins (room temperature)
(d) \(98.6\ ^{\circ}\mathrm{F}\) to kelvins (body temperature)
ANSWER:
Step 1 of 4
(a) \(212{ }^{\circ} \mathrm{F}\) to Celsius (temperature of boiling water) :
Steps to convert Fahrenheit to Celsius :
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Subtract 32 from the Fahrenheit temperature.
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Multiply this number by 5.
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Divide this number by 9.
Mathematically , it is represented as :
\(\mathrm{T}_{\left({ }^{\circ} \mathrm{C}\right)}=\left(\mathrm{T}_{\left({ }^{\circ} \mathrm{F}\right)}-32\right) \times 5 / 9\)
Now, let’s convert the temperature given in \({ }^{\circ} \mathrm{F}\) to Celsius :
\(\begin{aligned} \text { Given }{ }^{\circ} \mathrm{F}= & 212^{\circ} \mathrm{F} \\ & =212-32 \\ & =180 . \\ & =180 \times \frac{5}{9} \\ & =\mathbf{1 0 0 .} . \end{aligned}\)
Hence, \(212^{\circ} \mathrm{F} \text { in Celsius is } 100^{\circ} \mathrm{C}\).