Problem 2
Two masses of water initially at temperatures are mixed in an insulated vessel. Neglect vessel heat capacity, heat loss, and evaporation; water’s specific heat is constant and no phase change occurs. (a) Write the heat balance and find final temperature . (b) Find heat gained by the colder water. (c) For , locate between the initial temperatures. Keep the sign convention consistent and use appropriate SI units throughout. Each part builds on intermediate results from the preceding part; apply a physical relation only where the stated model assumptions hold. Finally compare the answers with the initial conditions, expected trends, and an independent check when available.
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problems.proof.analysis
Collect answers to every part, including signs, directions, and image or process properties where relevant. Dimensions match the physical quantities.