125.0 gram bars of aluminum and copper are heated to 275.6°C in a colorimeter that doesn‘t allow heat to be exchanged with the environment. The two bar are dropped into a colorimeter containing 250.0 gm of water at 10.9°C.What is the final temperature of the water if the specific heat capacity of aluminum and copper are 0.275 calories/gm/°C and 0.385J/gm/‘C respectively? 1 calorie 4.184 joules
Q loss Q gain 125(0.275)(275.6 - Tf) + 125(0.385)((275.6 - Tf) 250(1)(Tf - 10.9) . divide all by 125 (0.275)(275.6 - Tf) + (0.385)((275.6 - Tf) 2(1)(Tf - 10.9) 0.66(275.6 - Tf) 2Tf - 21.8 181.896 - 0.66Tf 2Tf - 21.8 2.66Tf 203.696 Tf 76.577 degrees C There is still a little problem you list 0.275 calories/gm/°C and 0.385J/gm/'C . the units do not agree . they should be both in J (Joules) or in calories. I worked the problem as if they are both in calories.
