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#thermodynamics problem

2 public questions tagged with this topic.

A 0.05kg gold block at 1200∘C is placed in 0.5kg water at 20∘C. What is the final temperature? (Specific heat of gold =

0.05×134×(1200−T) = 0.5×4186×(T−20). 8040−6.7T = 2093T−41860. 8040+41860 = 2093T+6.7T. 49900 = 2099.7T⇒T≈23.77∘C≈23.8∘C. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 23.8°C. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.

Ref: NCERT Class 11 Physics, Chapter 11: Thermal Properties – Calorimetry.

How much heat is required to convert 0.3kg of ice at −18∘C to water at 40∘C in a 0.1kg copper calorimeter initially at 2

Q1 = 0.3×2100×18 = 11340J (ice to 0°C). Q2 = 0.3×3.35×105 = 100500J (melting). Heat gained by water and calorimeter: (0.3×4186+0.1×386)×(40−0) = (1255.8+38.6)×40 = 1294.4×40 = 51776J. Heat lost by calorimeter: 0.1×386×(25−0) = 965J (assume it cools to 0°C first). Total heat supplied: Q = 11340+100500+51776−965 = 162651J = 162.65kJ.

Ref: NCERT Class 11 Physics, Chapter 11: Thermal Properties – Calorimetry.