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Chapter 1: Problem 103

The highest temperature of the following group is (a) \(217 \mathrm{K} ;\) (b) \(273 \mathrm{K} ;\) (c) \(217^{\circ} \mathrm{F} ;\) (d) \(105^{\circ} \mathrm{C} ;\) (e) \(373 \mathrm{K}\).

Short Answer

Expert verified
The highest temperature given in the exercise is \(105^{\circ} \mathrm{C}\), which is equivalent to \(378 \mathrm{K}\).

Step by step solution

01

Convert Kelvin to Celsius

Keep temperatures in Kelvin as is, as it's the SI unit for temperature. So, \(217 \mathrm{K}\) remains \(217 \mathrm{K}\) and \(273 \mathrm{K}\) remains \(273 \mathrm{K}\) and \(373 \mathrm{K}\) remains \(373 \mathrm{K}\). These will be compared with the Celsius and Fahrenheit readings once those are converted to Kelvin units.
02

Convert Fahrenheit to Kelvin

Convert \(217^{\circ} \mathrm{F}\) to Kelvin using the formula \( K = \frac{5}{9}(F - 32) + 273 \). This gives \( K = \frac{5}{9}(217 - 32) + 273 \approx 373.6 \mathrm{K} \).
03

Convert Celsius to Kelvin

Convert \(105^{\circ} \mathrm{C}\) to Kelvin by using the formula \( K = C + 273 \). This gives \( K = 105 + 273 = 378 \mathrm{K} \).
04

Compare all temperatures in Kelvin

Compare all temperatures: \(217 \mathrm{K}\), \(273 \mathrm{K}\), \(373.6 \mathrm{K}\), \(378 \mathrm{K}\) and \(373 \mathrm{K}\). Even though all values are close, the highest is \(378 \mathrm{K} \), which was initially given as \(105^{\circ} \mathrm{C}\).

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Most popular questions from this chapter

You decide to establish a new temperature scale on which the melting point of mercury \(\left(-38.9^{\circ} \mathrm{C}\right)\) is \(0^{\circ} \mathrm{M},\) and the boiling point of mercury \(\left(356.9^{\circ} \mathrm{C}\right)\) is \(100^{\circ} \mathrm{M} .\) What would be (a) the boiling point of water in \(^{\circ} \mathrm{M} ;\) and \((\mathrm{b})\) the temperature of absolute zero in \(^{\circ}\text{M}\)?

A family/consumer science class is given an assignment in candy-making that requires a sugar mixture to be brought to a "soft-ball" stage \(\left(234-240^{\circ} \mathrm{F}\right)\). A student borrows a thermometer having a range from \(-10^{\circ} \mathrm{C}\) to \(110^{\circ} \mathrm{C}\) from the chemistry laboratory to do this assignment. Will this thermometer serve the purpose? Explain.

Perform the following conversions. (a) \(0.127 \mathrm{L}=\)_________\(\mathrm{mL}\) (b) \(15.8 \mathrm{mL}=\)_________\(\mathrm{L}\) (c) \(2896 \mathrm{mm}=\)__________\(\mathrm{L}\) (d) \(2.65 \mathrm{m}^{3}=\)__________\(\mathrm{cm}^{3}\)

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What type of change-physical or chemical-is necessary to separate the following? [Hint: Refer to a listing of the elements.] (a) sugar from a sand/ sugar mixture (b) iron from iron oxide (rust) (c) pure water from seawater (d) water from a slurry of sand in water
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