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Explain in detail the kinetic interpretation of temperature . |
Answer» <html><body><p></p>Solution :We <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> that , <br/> `P=1/3N/V mbar(v^<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)` <br/><br/> `PV=1/3Nmbar(v^2)` <br/> Comparing the equation (1) with ideal gas equation PV = NkT, <br/> `NkT=1/3Nmbar(v^2)` <br/> `kT =1/3mbar(v^2)""...(2)`<br/> <a href="https://interviewquestions.tuteehub.com/tag/multiply-1106275" style="font-weight:bold;" target="_blank" title="Click to know more about MULTIPLY">MULTIPLY</a> the above equation by 3/2 on both sides, <br/> `3/2kT = 1/2 mbar(v^2)""....(3)` <br/>R.H.S of the equation (3) is called average kinetic energy of a single molecule `bar(<a href="https://interviewquestions.tuteehub.com/tag/ke-527890" style="font-weight:bold;" target="_blank" title="Click to know more about KE">KE</a>)` . <br/> The average kinetic energy per molecule <br/> `bar(KE)= in =3/2kT ""...(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)` <br/> It is implied from equation (3) that the temperature of a gas isa measure of the average translational kinetic energy per molecule of the gas.</body></html> | |