Changes in Phase & Latent Heat Video Lessons

Concept

Problem: Suppose that in an insulated container, 0.100 kg of water at 20.0 °C is mixed with 1.500 kg of ice at −15.0 °C. You are asked to find the final temperature Tf of the system, but you are not told what the final phase of the system in equilibrium is.A. Find the amount of heat Qh it would take to bring all of the ice to its melting point, 0 °C. Express your answer in joules to three significant figures.B. Find the amount of heat Qc released in bringing all of the water to its freezing point, 0 °C. Your answer does not need to include a sign. Express your answer in joules to three significant figures.

FREE Expert Solution

Amount of heat required to  the t change temperature of a substance:

$\overline{){\mathbf{Q}}{\mathbf{=}}{\mathbf{m}}{\mathbf{C}}{\mathbf{∆}}{\mathbf{T}}}$

A.

Tf = 0 °C + 273 = 273 K

Ti = -15.0 °C + 273 = 258 K

C = 2040J/kg•K

Problem Details

Suppose that in an insulated container, 0.100 kg of water at 20.0 °C is mixed with 1.500 kg of ice at −15.0 °C. You are asked to find the final temperature Tf of the system, but you are not told what the final phase of the system in equilibrium is.

A. Find the amount of heat Qh it would take to bring all of the ice to its melting point, 0 °C. Express your answer in joules to three significant figures.

B. Find the amount of heat Qc released in bringing all of the water to its freezing point, 0 °C. Your answer does not need to include a sign. Express your answer in joules to three significant figures.