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A solid at 0^(@)C floats with 98% of its volume immersed in a liquid. The solid floats completely immersed when the temperature is raised to 25^(@)C. If the coefficientof volume expansion of the solid is 2.6 times 10^(-6@)C^(-1), find the coefficient of real expansion of the liquid .

Answer» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> at `0^(@)C`, volume of the <a href="https://interviewquestions.tuteehub.com/tag/solid-1216587" style="font-weight:bold;" target="_blank" title="Click to know more about SOLID">SOLID</a> `=V_(0)`, density of the liquid `=rho_(0)`, at `25^(@)C`, volume of the solid `=V^(.)` and density of the liquid `=rho^(.)` <br/> Now, `V^(.)=V_(0)[1+2.<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a> times 10^(-6) times 25]` <br/> and `rho_(0)=rho^(.)[1+<a href="https://interviewquestions.tuteehub.com/tag/gamma-470142" style="font-weight:bold;" target="_blank" title="Click to know more about GAMMA">GAMMA</a> times 25]` <br/> where `gamma=` coefficient of real expansion of the liquid. <br/> From the condition of floatation, <br/> `""V_(0) times 0.98 times rho_(0)=V^(.)rho^(.)` <br/> or, `""V_(0) times 0.98 times rho^(.)[1+gammatimes 25]=V_(0)[1+2.6 times 10^(-6) times 25] times rho^(.)` <br/> or, `"" 1+25 gamma=(1+0.000065)/(0.98) " or, " 25 gamma=1.02047-1` <br/> `therefore "" gamma=8.19 times 10^(-<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>@)C^(-1).`</body></html>


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