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Chapter 1: Problem 25

Make the following conversions: (a) \(72^{\circ} \mathrm{F}\) to \({ }^{\circ} \mathrm{C}\), (b) \(216.7{ }^{\circ} \mathrm{C}\) to \({ }^{\circ} \mathrm{F},(\mathrm{c}) 233^{\circ} \mathrm{C}\) to \(\mathrm{K},\) (d) \(315 \mathrm{~K}\) to \({ }^{\circ} \mathrm{F},(\mathrm{e}) 2500^{\circ} \mathrm{F}\) to \(\mathrm{K},(\mathrm{f}) 0 \mathrm{~K}\) to \({ }^{\circ} \mathrm{F}\)

Short Answer

Expert verified
The short answers for the conversions are: (a) \(22.22^{\circ}\mathrm{C}\), (b) \(452.04^{\circ}\mathrm{F}\), (c) \(506.15\mathrm{K}\), (d) \(139.13^{\circ}\mathrm{F}\), (e) \(1644.26\mathrm{K}\), and (f) \(-427.67^{\circ}\mathrm{F}\).

Step by step solution

01

Convert 72°F to °C

Using the formula to convert Fahrenheit to Celsius: \[C = \frac{5}{9} (F - 32)\] \[C = \frac{5}{9} (72 - 32)\] \[C = \frac{5}{9} (40)\] \[C = 22.22^{\circ}\mathrm{C}\]
02

Convert 216.7°C to °F

Using the formula to convert Celsius to Fahrenheit: \[F = \frac{9}{5} C + 32\] \[F = \frac{9}{5} (216.7) + 32\] \[F = 422.04 + 32\] \[F = 452.04^{\circ}\mathrm{F}\]
03

Convert 233°C to K

Using the formula to convert Celsius to Kelvin: \[K = C + 273.15\] \[K = 233 + 273.15\] \[K = 506.15\mathrm{K}\]
04

Convert 315 K to °F

First, convert Kelvin to Celsius using the formula: \[C = K - 273.15\] \[C = 315 - 273.15\] \[C = 41.85^{\circ}\mathrm{C}\] Next, convert Celsius to Fahrenheit using the formula: \[F = \frac{9}{5} C + 32\] \[F = \frac{9}{5} (41.85) + 32\] \[F = 107.13 + 32\] \[F = 139.13^{\circ}\mathrm{F}\]
05

Convert 2500°F to K

First, convert Fahrenheit to Celsius using the formula: \[C = \frac{5}{9} (F - 32)\] \[C = \frac{5}{9} (2500 - 32)\] \[C = \frac{5}{9} (2468)\] \[C = 1371.11^{\circ}\mathrm{C}\] Next, convert Celsius to Kelvin using the formula: \[K = C + 273.15\] \[K = 1371.11 + 273.15\] \[K = 1644.26\mathrm{K}\]
06

Convert 0 K to °F

First, convert Kelvin to Celsius using the formula: \[C = K - 273.15\] \[C = 0 - 273.15\] \[C = -273.15^{\circ}\mathrm{C}\] Next, convert Celsius to Fahrenheit using the formula: \[F = \frac{9}{5} C + 32\] \[F = \frac{9}{5} (-273.15) + 32\] \[F = -459.67 + 32\] \[F = -427.67^{\circ}\mathrm{F}\]

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Most popular questions from this chapter

Suggest a method of separating each of the following mixtures into two components: (a) sugar and sand, (b) oil and vinegar.

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