A chunk of tin weighing 18.8 grams and originally at 97.21 °C is dropped into an insulated cup containing 78.5 grams of water at 21.84 °C.

Question

Assuming that all of the heat is transferred to the water, the final temperature of the water is  °C.

determine csp or t final: thermal equilibrium in metal + water

Answer 1

Not sure what csp means, but will show how to find final temperature (Tfinal).

heat lost by hot tin must equal heat gained by cooler water

heat lost by hot tin = q = mC∆T

q = (18.8 g)(0.227 J/gº)(97.21 - Tf) = 415 - 4.27Tf (0.227 is specific heat for tin)

heat gained by water = q = mC∆T

q = (78.5 g)(4.184 J/gº)(Tf - 21.84) = 328Tf - 7163

415 - 4.27Tf = 328Tf - 7163

332.2Tf = 7578

Tf = 22.8ºC

(be sure to check the math)