A 0.223 kg block of ice at 0 deg C is placed into 1.68 L of water at 21.6 deg C.
What is the final temperature after all of the ice has melted and the system reaches equilibrium, in deg C?
here,
the mass of ice , m1 = 0.223 kg
volume of water , V = 1.68 L
the mass of water , m2 = 1.68 kg
let the final equilibrium temperature be Tf
using principle of calorimetry
heat gained by ice = heat lost by water
m1 * ( Lf + Cw * ( Tf - 0)) = m2 * Cw * (21.6 - Tf)
0.223 * ( 334000 + 4186 * (Tf)) = 1.68 * 4186 * ( 21.6 - Tf)
solving for Tf
Tf = 9.72 degree C
the final equilibrium temperature is 9.72 degree C
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