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Chapter 1: Problem 60

Convert the following Kelvin temperatures to Celsius and Fahrenheit degrees. a. the temperature that registers the same value on both the Fahrenheit and Celsius scales, \(233 \mathrm{~K}\) b. the boiling point of helium, \(4 \mathrm{~K}\) c. the temperature at which many chemical quantities are determined. \(298 \mathrm{~K}\) d. the melting point of tungsten, \(3680 \mathrm{~K}\)

Short Answer

Expert verified
(a) $-40.15 ^{o}C$, $-40.27 ^{o}F$ (b) $-269.15 ^{o}C$, $-452.47 ^{o}F$ (c) $24.85 ^{o}C$, $76.73 ^{o}F$ (d) $3406.85 ^{o}C$, $6154.33 ^{o}F$

Step by step solution

01

(a) Convert 233K to Celsius and Fahrenheit

First, convert 233K to Celsius: \(C = 233 - 273.15 = -40.15 ^{o}C\) Next, convert -40.15°C to Fahrenheit: \(F = \frac{9}{5}(-40.15) + 32 = -40.27 ^{o}F\) The temperature that registers the same value on both the Fahrenheit and Celsius scales is approximately -40 degrees.
02

(b) Convert 4K to Celsius and Fahrenheit

First, convert 4K to Celsius: \(C = 4 - 273.15 = -269.15 ^{o}C\) Next, convert -269.15°C to Fahrenheit: \(F = \frac{9}{5}(-269.15) + 32 = -452.47 ^{o}F\) The boiling point of helium is -269.15°C or -452.47°F.
03

(c) Convert 298K to Celsius and Fahrenheit

First, convert 298K to Celsius: \(C = 298 - 273.15 = 24.85 ^{o}C\) Next, convert 24.85°C to Fahrenheit: \(F = \frac{9}{5}(24.85) + 32 = 76.73 ^{o}F\) The temperature at which many chemical quantities are determined is 24.85°C or 76.73°F.
04

(d) Convert 3680K to Celsius and Fahrenheit

First, convert 3680K to Celsius: \(C = 3680 - 273.15 = 3406.85 ^{o}C\) Next, convert 3406.85°C to Fahrenheit: \(F = \frac{9}{5}(3406.85) + 32 = 6154.33 ^{o}F\) The melting point of tungsten is 3406.85°C or 6154.33°F.

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