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Problem 123 Medium Difficulty

In the nineteenth century two scientists named Dulong and Petit noticed that for a solid element, the product of its molar mass and its specific heat is approximately $25 \mathrm{J} /^{\circ} \mathrm{C}$. This observation, now called Dulong and Petit's law, was used to estimate the specific heat of metals. Verify the law for the metals listed in Table $6.2 .$ The law does not apply to one of the metals. Which one is it? Why?


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Chemistry 101

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Chapter 6

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Video Transcript

So there were a couple people do long and petite, and I'm not 100% sure of that. Pronunciation on day noticed in the 19th century that for solid elements the product of the molar mass times a specific heat is approximately equal to 25 J over degrees C, and we're gonna look at some of the metals on table 6.2 for this text. I'm specifically going to be looking at aluminum and gold, and aluminum has a molar mass. I'm just going to go to whole numbers. 27. Gold was 1 97 and the specific heats reach of these were 0.9 0.900 Jorg C degrees. And where am I here. 0.1 to 9 J over GC degrees. Okay. And if I do my math on this one, I get 24.3, which is approximately 25. And if I do my math on this one, I get 25.4, which is also approximately 25 will make the assumption the rest work. We're also asking this question which one of those in the list doesn't fit and that would be mercury because it's a liquid. And this is on Lee for solid elements, elements that are solids. Okay,

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