During an experiment an ideal gas is found to obey an additional law VP^(2)= constant. The gas is initially at temperature T and Volume V. Find the resulting temperature when it expands to volume 2V.

During an experiment an ideal gas is found to obey an additional law V

1.	During an experiment an ideal gas is found to obey an additional law VP^(2)= constant. The gas is initially at temperature T and Volume V. Find the resulting temperature when it expands to volume 2V.
Answer» <html><body><p></p>Solution :`PV=RTrArr P=(<a href="https://interviewquestions.tuteehub.com/tag/rt-615359" style="font-weight:bold;" target="_blank" title="Click to know more about RT">RT</a>)/(V)` <br/> `VP^(2)="constant"` <br/> `therefore""V((RT)/(V))^(2)="constant (or)"(<a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>^(2)T^(2))/(V)="constant"` <br/> `(T^(2))/(V)="constant"` <br/> `therefore""(T.^(2))/(<a href="https://interviewquestions.tuteehub.com/tag/2v-300496" style="font-weight:bold;" target="_blank" title="Click to know more about 2V">2V</a>)=(T^(2))/(V) rArr T. = sqrt2T`</body></html>