Particules speed in ideal gasses [closed]








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According to Graham's law, we can calculate de average speed of gasses by using the formula


$$v^2=\frac{3RT}{M}$$


I tried to use this [simulation](https://phet.colorado.edu/sims/html/gas-properties/latest/gas-properties_en.html) and got these data by keeping same particles amount and increasing the temperature(average speed(m/s) - temperatura(°C)):





| T in C | V in m/s |
| --- | --- |
| 27 | 454 |
| 50 | 480 |
| 90 | 510 |
| 130 | 530 |
| 225 | 590 |
| 350 | 660 |
| 425 | 710 |
| 500 | 740 |



But, shouldn't be the speed ($v$) a square function of the temperature? ($T=\frac{Mv^2}{3R}$ ) What am I doing wrong?







| T in K | $V^2$ in $\pu{m2 s-2}$ |
| --- | --- |
| 300 | 206116 |
| 323 | 230400 |
| 363 | 260100 |
| 403 | 280900 |
| 498 | 348100 |
| 623 | 435600 |
| 698 | 504100 |
| 773 | 547600 |



These are proportional.


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