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Chapter 1: Problem 63

Convert the following Celsius temperatures to Kelvin and to Fahrenheit degrees. a. the temperature of someone with a fever, \(39.2^{\circ} \mathrm{C}\) b. a cold wintery day, \(-25^{\circ} \mathrm{C}\) c. the lowest possible temperature, \(-273^{\circ} \mathrm{C}\) d. the melting-point temperature of sodium chloride, \(801^{\circ} \mathrm{C}\)

Short Answer

Expert verified
a. Fever temperature ($39.2^{\circ} \mathrm{C}$): $312.35\mathrm{K}$, $102.56^{\circ}\mathrm{F}$ b. Cold wintery day ($-25^{\circ} \mathrm{C}$): $248.15\mathrm{K}$, $-13^{\circ}\mathrm{F}$ c. Lowest possible temperature ($-273^{\circ} \mathrm{C}$): $0.15\mathrm{K}$, $-459.4^{\circ}\mathrm{F}$ d. Melting-point of sodium chloride ($801^{\circ} \mathrm{C}$): $1074.15\mathrm{K}$, $1473.8^{\circ}\mathrm{F}$

Step by step solution

01

Convert 39.2°C to Kelvin

Using the Celsius to Kelvin conversion formula: \[K = C + 273.15\] \[K = 39.2 + 273.15 = 312.35\] So the temperature in Kelvin is 312.35 K.
02

Convert 39.2°C to Fahrenheit

Using the Celsius to Fahrenheit conversion formula: \[°F = (C × \frac{9}{5}) + 32\] \[°F = (39.2 × \frac{9}{5}) + 32 = 102.56\] So the temperature in Fahrenheit is 102.56°F. #b. Conversion of -25°C (cold wintery day temperature)#
03

Convert -25°C to Kelvin

Using the Celsius to Kelvin conversion formula: \[K = C + 273.15\] \[K = -25 + 273.15 = 248.15\] So the temperature in Kelvin is 248.15 K.
04

Convert -25°C to Fahrenheit

Using the Celsius to Fahrenheit conversion formula: \[°F = (C × \frac{9}{5}) + 32\] \[°F = (-25 × \frac{9}{5}) + 32 = -13\] So the temperature in Fahrenheit is -13°F. #c. Conversion of -273°C (lowest possible temperature)#
05

Convert -273°C to Kelvin

Using the Celsius to Kelvin conversion formula: \[K = C + 273.15\] \[K = -273 + 273.15 = 0.15\] So the temperature in Kelvin is 0.15 K.
06

Convert -273°C to Fahrenheit

Using the Celsius to Fahrenheit conversion formula: \[°F = (C × \frac{9}{5}) + 32\] \[°F = (-273 × \frac{9}{5}) + 32 = -459.4\] So the temperature in Fahrenheit is -459.4°F. #d. Conversion of 801°C (melting-point temperature of sodium chloride)#
07

Convert 801°C to Kelvin

Using the Celsius to Kelvin conversion formula: \[K = C + 273.15\] \[K = 801 + 273.15 = 1074.15\] So the temperature in Kelvin is 1074.15 K.
08

Convert 801°C to Fahrenheit

Using the Celsius to Fahrenheit conversion formula: \[°F = (C × \frac{9}{5}) + 32\] \[°F = (801 × \frac{9}{5}) + 32 = 1473.8\] So the temperature in Fahrenheit is 1473.8°F.

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