A 14.1 g sample of an alloy at 98.0°C is placed into 141.6g of water at 22.0 °C

Question

A 14.1 g sample of an alloy at 98.0°C is placed into 141.6g of water at 22.0 °C in an insulated coffee cup with a heatcapacity of 9.2 J/K. If the final temperature of the system is35.0°C, what is the specific heat capacity of the alloy inJ/(g.K)?

cH2O = 4.184 J/g.K
A 14.1 g sample of an alloy at 98.0°C is placed into 141.6g of water at 22.0 °C in an insulated coffee cup with a heatcapacity of 9.2 J/K. If the final temperature of the system is35.0°C, what is the specific heat capacity of the alloy inJ/(g.K)?

cH2O = 4.184 J/g.K

Explanation / Answer

Heat lost by the alloy = Heat gained by thewater in a coffeecup                 MC dt = mcdt' M = mass of alloy = 14.1 g C = specific heat of alloy = ? dt = Change of temperature of the alloy = 98 - 35 = 63oC m = mass of water = 141.6 g c = specific heat of water = 4.184 J /g-K dt' = Change of temperature of the water = 35 - 22= 13 oC Plug the values we have C = mcdt' / Mdt                                         = 8.6703 J / g-K c = specific heat of water = 4.184 J /g-K dt' = Change of temperature of the water = 35 - 22= 13 oC Plug the values we have C = mcdt' / Mdt                                         = 8.6703 J / g-K

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