The coefficient of real expansion of a liquid is 7.52 xx10^(-4)//^(@)C and the coefficient of apparent expansion of the liquid is 7.25 xx10^(-4)//^(@) C. Find the coefficient of linear expansion of the material of the vessel.

The coefficient of real expansion of a liquid is 7.52 xx10^(-4)//^(@)C

1.	The coefficient of real expansion of a liquid is 7.52 xx10^(-4)//^(@)C and the coefficient of apparent expansion of the liquid is 7.25 xx10^(-4)//^(@) C. Find the coefficient of linear expansion of the material of the vessel.
Answer» <html><body><p></p>Solution :Coefficient of real expansion of the liquid `(gamma _(<a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>)) = 7.52 xx 10 ^(-4) //^(@)<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>` <br/> Coefficient of apparent expansion of the liquid `, (gamma _(a)) = 7.25 xx 10 ^(-4) //^(@)C` <br/> we know ` gamma _(R) = gamma _(a) + gamma + gamma _(a) + 3 alpha , 3 alpha = gamma _(R) - gamma _(s) = 7.52 xx 10 ^(-4) = 0.27 xx 10 ^(-4)` <br/> `alpha = ( 0.27 xx 10 ^(-4))/(3) = 0.09 xx 10 ^(-4)` <br/> `therefore` Coefficient of <a href="https://interviewquestions.tuteehub.com/tag/linear-1074458" style="font-weight:bold;" target="_blank" title="Click to know more about LINEAR">LINEAR</a> expansion of <a href="https://interviewquestions.tuteehub.com/tag/vessel-1445872" style="font-weight:bold;" target="_blank" title="Click to know more about VESSEL">VESSEL</a> material `= 9 xx 10 ^(-6) //^(@)C`</body></html>