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5.A copper sphere of 200 g mass is heated toraise its temperature to 160 °C and is releasedin water of mass 100 g and temperature 10 °Cin a copper calorimeter. If the mass ofcalorimeter is 50 g, what will be the maximumtemperature of water?(Given: specific heat of copper = 0.1 cal/g °C |
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Answer» Answer i) Heat gained by water = Mass of water x Specific heat capacity of water x Rise in temperature = = 100 x 4.2 x (280 – 200) = 3360 J. (ii) Heat gained by CALORIMETER = Mass of calorimeter x Specific heat capacity of copper x Rise in temperature = 50 x 0.4 x (28 – 20) = 160 J (iii) Total heat supplied by the metal piece = 3360 + 160 = 3520J (iv) If the specific heat capacity of metal is c, then Heat supplied by the metal piece = Mass x Specific heat capacity x FALL in temperature or 3520 = 250 x c x (1000 – 180) or c = 3520/250 x 72 = 0.195 J/g0C |
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