Density and Heat Capacity of Liquids from Speed of Sound

<div class="floats-full-page floats-full-page-other"><h2>Table 5</h2><div class="floats-full-page-caption">The Lagrange polynomial orders used in the transcritical domain.</div><div class="floats-full-page-content"><table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr /></td></tr><tr class="thead"><td class="align_left" rowspan="2">Substance</td><td class="align_left" colspan="2">&#13;
                &#13;
                Interpolation with respect to</td><td class="align_left" colspan="2">&#13;
                &#13;
                Derivation with respect to</td></tr><tr class="thead"><td class="align_center"><span style="width: 7.83752ptpx;"><svg height="10.2124pt" id="M77" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 7.83752 10.2124" width="7.83752pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="593" vert-adv-y="593"></glyph.data></g></svg></span></td><td class="align_center"><span style="width: 8.41168ptpx;"><svg height="9.01194pt" id="M78" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.96212 8.41168 9.01194" width="8.41168pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g></svg></span></td><td class="align_center"><span style="width: 7.83752ptpx;"><svg height="10.2124pt" id="M79" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 7.83752 10.2124" width="7.83752pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="593" vert-adv-y="593"></glyph.data></g></svg></span></td><td class="align_center"><span style="width: 8.41168ptpx;"><svg height="9.01194pt" id="M80" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.96212 8.41168 9.01194" width="8.41168pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g></svg></span></td></tr><tr><td class="thead-hr" colspan="5"><hr /></td></tr><tr><td class="align_left">Ar</td><td class="align_center">7</td><td class="align_center">14</td><td class="align_center">—</td><td class="align_center">2, 11</td></tr><tr><td class="align_left">N<sub>2</sub></td><td class="align_center">8</td><td class="align_center">14</td><td class="align_center">—</td><td class="align_center">2, 11</td></tr><tr><td class="align_left">CO<sub>2</sub></td><td class="align_center">9</td><td class="align_center">14</td><td class="align_center">—</td><td class="align_center">2, 11</td></tr><tr><td class="align_left">CH<sub>4</sub></td><td class="align_center">7</td><td class="align_center">14</td><td class="align_center">—</td><td class="align_center">2, 11</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr" /></td></tr></table></td></tr></table></div></div>

Table 5 | Density and Heat Capacity of Liquids from Speed of Sound

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Table 5: Density and Heat Capacity of Liquids from Speed of Sound

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Table 5

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Journal of Thermodynamics

Density and Heat Capacity of Liquids from Speed of Sound

Table 5