PhysicsRankPREVIEWTry a problem

THE PRACTICE STUDIO

Go slowly. Ask why. Make it yours.

PRACTICE · MEMBERSAdvanced · Single correct

PRACTICE / Phase changes

Reject an impossible coexistence mass

An ideal insulated mixture starts with 0.250 kg ice at −40°C and 0.050 kg water at 10°C. Use constant model values ci = 2100 J/(kg·K), cw = 4200 J/(kg·K), and Lf = 334000 J/kg.

What is the final equilibrium temperature?

Organize the givens & assumptions
  • Ice = 0.250 kg at −40°C
  • Water = 0.050 kg at 10°C
  • Total mass = 0.300 kg
  • ci = 2100; cw = 4200; Lf = 334000 in SI units

Ideal insulated calorimetry at ordinary atmospheric pressure, no evaporation or other work, equilibrium final state and stated constant model capacities unless a temperature dependence is specified. Vessel heat capacity is negligible except where it is an explicit unknown. Pure ice/water melts at 0°C; no supercooling.

  1. A−3.49∘C-3.49^\circ\mathrm C
  2. B0∘C0^\circ\mathrm C
  3. C−4.19∘C-4.19^\circ\mathrm C
  4. D1.75∘C1.75^\circ\mathrm C

Try it on paper first. Free sample problems in every collection include the complete reasoning: find one in this collection →