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Make the following conversions: (a) 72 °F to °C, (b) 216.7

Chapter 2, Problem 1.25

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QUESTION:

Make the following conversions:

(a) \(72 \ ^{\circ}\rm{F}\) to \(^{\circ}\rm{C}\),

(b) \(216.7 \ ^{\circ}\rm{C}\) to \(^{\circ}\rm{F}\),

(c) \(233 \ ^{\circ}\rm{C}\) to \(\rm{K}\),

(d) \(315 \ \rm{K}\) to \(^{\circ}\rm{F}\),

(e) \(2500^{\circ}\rm{F}\) to \(\rm{K}\),

(f) \(0 \ \rm{K}\) to \(^{\circ}\rm{F}\).

Questions & Answers

QUESTION:

Make the following conversions:

(a) \(72 \ ^{\circ}\rm{F}\) to \(^{\circ}\rm{C}\),

(b) \(216.7 \ ^{\circ}\rm{C}\) to \(^{\circ}\rm{F}\),

(c) \(233 \ ^{\circ}\rm{C}\) to \(\rm{K}\),

(d) \(315 \ \rm{K}\) to \(^{\circ}\rm{F}\),

(e) \(2500^{\circ}\rm{F}\) to \(\rm{K}\),

(f) \(0 \ \rm{K}\) to \(^{\circ}\rm{F}\).

ANSWER:

Step 1 of 7
The temperature can be represented in three units Kelvin, degrees Celsius, and degrees Fahrenheit. These units are interconvertible, and the relationship between them is governed as follows:

\(1^{\circ}C + 273 = 274\;K\)
\(1^{\circ}F = 255.98\; K\)
\((\left(1 \;^{\circ}F-32\right) \times 5/9+273 =255.98\; K)\)
\(1 \;^{\circ}F =-17.22\; ^{\circ} C\)
\((\left(1 \;^{\circ}F-32\right) \times 5/9=- 17.22\;{^\circ}C )\)

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