an unknown piece of metal (45.7 grams) is heated to 158.0 C.the heated piece of

Question

an unknown piece of metal (45.7 grams) is heated to 158.0 C.the heated piece of metal is then added to 65.0 grams of waterinitially at 26.8 C. The final temperature is 31.8 C. calculate the specific heat and identifythe unknown piece of metal. the specific heat of water is 4.184J/gC. Specific heat: Al 0.900     Fe0.450      Cu 0.387      Ag 0.235     Au   0.129 an unknown piece of metal (45.7 grams) is heated to 158.0 C.the heated piece of metal is then added to 65.0 grams of waterinitially at 26.8 C. The final temperature is 31.8 C. calculate the specific heat and identifythe unknown piece of metal. the specific heat of water is 4.184J/gC. Specific heat: Al 0.900     Fe0.450      Cu 0.387      Ag 0.235     Au   0.129 Specific heat: Al 0.900     Fe0.450      Cu 0.387      Ag 0.235     Au   0.129

Explanation / Answer

Mass of unknown piece of metal M = 45.7 grams
Initial temp   of metal t = 158.0 C. Mass of water m = 65.0 grams Initial temp of water   t ' = 26.8 C. The final temperature T = 31.8 C. The specific heat ofwater c = 4.184J/g C Let the spscific heat of metal be C we know heat lost by metal = heat gain by water                            MC dt = m c dt ' 45.7 * C * ( 158 - 31.8 ) = 65 * 4.184 * ( 31.8 - 26.8 )                                                    C = 0.235 J / g oC So, the metal is Ag ( silver ) Let the spscific heat of metal be C we know heat lost by metal = heat gain by water                            MC dt = m c dt ' 45.7 * C * ( 158 - 31.8 ) = 65 * 4.184 * ( 31.8 - 26.8 )                                                    C = 0.235 J / g oC So, the metal is Ag ( silver )

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