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Temerpature of a furnace is more than 500^(@)C. Discuss a method of measuring the temperature of the furnace with the help of a thermometer graduated up to 100^(@)C.

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> :Let the temperature of the <a href="https://interviewquestions.tuteehub.com/tag/furnace-1002481" style="font-weight:bold;" target="_blank" title="Click to know more about FURNACE">FURNACE</a> `=t^(@)C`. A small <a href="https://interviewquestions.tuteehub.com/tag/metla-2830895" style="font-weight:bold;" target="_blank" title="Click to know more about METLA">METLA</a> piece of mass m and specific heat s is put into the furnace. Obvioulsy the melting point of the metal should be greater than the temperature of the furnace so that it does not melt. Now, water of mass M is taken is a vessel of water equivalent W and its temperature is recorded. Let the temperature be `t_(1)^(@)C(ltlt 100^(@)C)`. <br/> Now the <a href="https://interviewquestions.tuteehub.com/tag/hot-1029680" style="font-weight:bold;" target="_blank" title="Click to know more about HOT">HOT</a> metal piece is dropped in the water. As a result a small quantity <a href="https://interviewquestions.tuteehub.com/tag/ofwater-2887091" style="font-weight:bold;" target="_blank" title="Click to know more about OFWATER">OFWATER</a> is vapourised which is negligible. After a while, when the metla piece and water reach thermal equili - brium, the final temperature is measured by the thermometer. If that temperature is `t_(2).^(@)C`, heat lost by the metal piece = `ms(t-t_(2))` and heat hained by the vessel and water `=(W+M)s_(w)(t_(2)-t_(1))`, where `s_(w)` is the specific heat of water. <br/> From calorimetric principle, <br/> `ms(t-t_(2))=(W+M)s_(w)(t_(2)-t_(1))` <br/> Value of t can be calculated from this equation if values of all the other quantities are known. Thus, measuring temperatures `t_(1) and t_(2)` with the help of a thermometer graduated up to `100^(@)C`, a much greater temperature t can be determined.</body></html>


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