A 230-gram sample of metal at 82 degrees centigrade is added to 632 grams of water at 14.4 degrees centigrade in an ideal calorimeter. The final temperature of the system (water and metal) is 22.8 degrees centigrade. What is the heat acapacity of the metal. The specific heat of water is 4.18 J/(g • °C)

1 answer

The sum of the heats added is zero (one will be negative added)

heataddedmetal+heatadded water=0
massmetal*cm*(Tf-82)_+ masswater*cw*(Tf-14.4)=0
solve for cm