Problem

$\bullet$ Perfectly rigid containers each hold $n…

04:17

Problem 34 Medium Difficulty

$\bullet$ Compute the specific heat capacity $($ in $J /(\mathrm{kg} \cdot \mathrm{K}))$ at constant volume of nitrogen $\left(\mathrm{N}_{2}\right)$ gas, and compare it with the specific heat capacity of liquid water. Use Appendix $\mathrm{C}$ to determine the molar mass of $\mathrm{N}_{2}$ .

Answer

$\frac{\text { cwater }}{\mathrm{c} N_{2}}=5.647$

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Physics 101 Mechanics

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Video Transcript

this's chapter 15. Problem number 34 were asked to compute this specific e capacity at constant welling with nitrogen. Yes, and compare it with the specific he capacity of liquid water. So, first of all, well, also, we are given a hint as Teo how to calculate the Mueller mask, which tells you that calculation has something to do with the molar mass off the packaging. Yes, but so the specific heat times the mauler mass is going to be cool to, the more he capacity. See somebody. Let's say so at constant value, Right? So C is the specific heat and M is going to be the molar mass cease for writing this equation for nitrogen. So let's use this sort of in this just to indicate that we're dealing with backdating. Yes. How is the molar mass? Like drinking pulls the heat capacity of microchips. Now we need to look at the molar mass of nitrogen, right? We have, uh Well, we can look this oven impending seat, right. We're a gust to look at the offending. See, However, going to calculate the Mueller he capacity is since this is a diatonic. Guests, we have five over to our in order to calculate the malarkey capacity. So if we put everything in one equation, I'm rewriting this equation. So what? We're looking for a specific heat. He cools that he capacity at council volume divided by the Moler mass off our guests. Then let's plug in for the Miller T capacity. Five over two are over. The Moler Mass of nitrogen is going to give us what we're looking for. Now, five over two. We know our is a 20.315 Jules per mole. Kevin, we're going to divide this by the molar mass. Since we have to connect regions there two times 14 seven times tender for made of three kilograms. Her Well, right then the specific heat of nitrogen is gonna be found out to be 742 jewels for kilogram. Kelvin. Now we're going to look up the specific e capacitor of water so specific he capacity of water. Let's choose C sub. I love you for that. We give all this up. It's ever rates in the literature. It's for 1001 190. Almost. Jules, her killed Graham. Calvin. The reason why we're looking at this picture, he capacity of water is because we're asked to compare the specific heats of water and next year, yes, right. So we need to do is just take the ratio now. So ratio all the specific heat of water to the specific heat of nitrogen gas is then going to be something like five 0.65

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