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Obtain coefficient of volume expansion from ideal gas equation.

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :Ideal gas <a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a>,<br/> `PV=muRT ""`. . .(1) <br/> Where P = <a href="https://interviewquestions.tuteehub.com/tag/pressure-1164240" style="font-weight:bold;" target="_blank" title="Click to know more about PRESSURE">PRESSURE</a>, V = volume <br/> `mu=` no. of moles of gases <br/> R = gas constant <br/> T = absolute temperature <br/> At constant pressure, <br/> `PDeltaV=muRDeltaT""` . . . (2) <br/> By <a href="https://interviewquestions.tuteehub.com/tag/taking-1238585" style="font-weight:bold;" target="_blank" title="Click to know more about TAKING">TAKING</a> ratio of equation (2) and (1), <br/> `(DeltaV)/(V)=(DeltaT)/(T)` <br/> `:.(DeltaV)/(VDeltaT)=1/T` <br/> But `(DeltaV)/(V DeltaT)=alpha_(V)` (coefficient of volume expansion) <br/> `:.alpha_(V)=1/T` <br/> For ideal gas, `alpha_(V)=3.7xx10^(-3)K^(-1)` at `0^(@)C` which is <a href="https://interviewquestions.tuteehub.com/tag/greater-476627" style="font-weight:bold;" target="_blank" title="Click to know more about GREATER">GREATER</a> than solid and liquid. <br/> For ideal gas `alpha_(V)` depend on temperature. It is inversely proportion to temperature. Hence it decrease with increase in temperature. <br/> For ideal gas, `alpha_(V)=3300xx10^(-6)K^(-1)` at room temperature which is much more greater than liquids.</body></html>


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