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Chapter 17: Problem 22

Express each of the following temperatures in degrees Celsius and in kelvins. a) \(-19^{\circ} \mathrm{F}\) b) \(98.6^{\circ} \mathrm{F}\) c) \(52^{\circ} \mathrm{F}\)

Short Answer

Expert verified
Answer: The approximate Celsius and Kelvin equivalents are: - For -19°F, it is about -28.33°C and 244.82 K. - For 98.6°F, it is about 37°C and 310.15 K. - For 52°F, it is about 11.11°C and 284.26 K.

Step by step solution

01

Convert -19°F to Celsius and Kelvin

a) To convert -19°F to degrees Celsius, we'll use the conversion formula: \(C = \frac{5}{9} (-19 - 32)\) \(C = \frac{5}{9} (-51)\) C ≈ -28.33 °C Now, to convert -28.33 °C to kelvins, we'll use the conversion formula: K = -28.33 + 273.15 K ≈ 244.82 K The temperature -19°F is approximately -28.33 °C and 244.82 K.
02

Convert 98.6°F to Celsius and Kelvin

b) To convert 98.6°F to degrees Celsius, we'll use the conversion formula: \(C = \frac{5}{9} (98.6 - 32)\) C ≈ 37 °C Now, to convert 37°C to kelvins, we'll use the conversion formula: K = 37 + 273.15 K = 310.15 K The temperature 98.6°F is approximately 37 °C and 310.15 K.
03

Convert 52°F to Celsius and Kelvin

c) To convert 52°F to degrees Celsius, we'll use the conversion formula: \(C = \frac{5}{9} (52 - 32)\) \(C = \frac{5}{9} (20)\) C ≈ 11.11 °C Now, to convert 11.11 °C to kelvins, we'll use the conversion formula: K = 11.11 + 273.15 K ≈ 284.26 K The temperature 52°F is approximately 11.11 °C and 284.26 K.

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Most popular questions from this chapter

Suppose a bimetallic strip is constructed of two strips of metals with linear expansion coefficients \(\alpha_{1}\) and \(\alpha_{2}\), where \(\alpha_{1}>\alpha_{2}\) a) If the temperature of the bimetallic strip is reduced by \(\Delta T\), what way will the strip bend (toward the side made of metal 1 or the side made of metal 2)? Briefly explain. b) If the temperature is increased by \(\Delta T\), which way will the strip bend?

You are outside on a hot day, with the air temperature at \(T_{0}\). Your sports drink is at a temperature \(T_{\mathrm{d}}\) in a sealed plastic bottle. There are a few remaining ice cubes in the sports drink, which are at a temperature \(T_{\mathrm{i}}\), but they are melting fast. a) Write an inequality expressing the relationship among the three temperatures. b) Give reasonable values for the three temperatures in degrees Celsius.

How does the density of copper that is just above its melting temperature of \(1356 \mathrm{~K}\) compare to that of copper at room temperature?

Thermal expansion seems like a small effect, but it can engender tremendous, often damaging, forces. For example, steel has a linear expansion coefficient of \(\alpha=1.2 \cdot 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\) and a bulk modulus of \(B=160\) GPa. Calculate the pressure engendered in steel by a \(1.0^{\circ} \mathrm{C}\) temperature increase.

Explain why it might be difficult to weld aluminum to steel or to weld any two unlike metals together.
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