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Long answer·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A 50 g50\text{ g} piece of ice at 0∘C0^\circ\text{C} is put into 200 g200\text{ g} of water at 30∘C30^\circ\text{C} in an insulated vessel. Take Lf=3.36×105 J kg−1L_f=3.36\times10^5\text{ J kg}^{-1} and cw=4200 J kg−1K−1c_w=4200\text{ J kg}^{-1}\text{K}^{-1}.
Total: 5 marks

(a) Find the heat released by water if it cools to 0∘C0^\circ\text{C}. (1 mark)

(b) Find the heat needed to melt all the ice. (1 mark)

(c) Determine whether all the ice melts. (1 mark)

(d) Find the final temperature. (2 marks)

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cbse-physics-11.u7.t7-5.laq.003

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