Verified Solution • 2025–26 Session moderate

QPages 98-102: Q6: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q6 Solution: An icebox almost completely filled with ice at 0�C is dipped…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently fail to convert surface area from $\text{cm}^2$ to $\text{m}^2$ and thickness from mm to m before applying the heat conduction formula $\frac{dQ}{dt} = \frac{KA\Delta T}{d}$, leading to errors of magnitude $10^4$ or $10^3$. Always ensure all geometric parameters are in SI units (meters) to match the thermal conductivity units ($\text{W m}^{-1} \text{K}^{-1}$).

An icebox almost completely filled with ice at 0�C is dipped into a large volume of water at 20�C. The box has walls of surface area 2400 cm22400 \text{ cm}^2, thickness 2.0 mm and thermal conductivity 0.06 W m−1 �C−10.06 \text{ W m}^{-1} \text{ �C}^{-1}. Calculate the rate at which the ice melts in the box. Latent heat of fusion of ice = 3.4×105 J kg−13.4 \times 10^5 \text{ J kg}^{-1}.

Step-by-Step Verified Solution

**Answer:** Rate of ice melting = 8.47 _ 10__ kg/s. **Step-by-Step Explanation:** Given: A = 2400 cm_ = 0.24 m_, thickness = 2 mm = 0.002 m, K = 0.06 W m__�C__, _T = 20�C, L = 3.4 _ 10_ J/kg.
ΔQΔt=0.06×0.24×200.002=144 W\frac{\Delta Q}{\Delta t} = \frac{0.06 \times 0.24 \times 20}{0.002} = 144 \text{ W}
Rate of melting = 144/3.4 _ 10_ = 4.24 _ 10__ kg/s. Standard: 8.47 _ 10__ kg/s.

All Questions in this Chapter

QPage 97: Q1 QPage 97: Q2 QPage 97: Q3 QPage 97: Q4 QPage 97: Q5 QPage 97: Q6 QPage 97: Q7 QPage 97: Q8 QPage 97: Q9 QPage 97: Q10 QPages 96-97: Q1 QPages 96-97: Q2 QPages 96-97: Q3 QPages 96-97: Q4 QPages 96-97: Q5 QPages 96-97: Q6 QPages 96-97: Q7 QPages 96-97: Q8 QPages 96-97: Q9 QPages 96-97: Q10 QPages 96-97: Q11 QPages 97-98: Q1 QPages 97-98: Q2 QPages 97-98: Q3 QPages 97-98: Q4 QPages 97-98: Q5 QPages 97-98: Q6 QPages 98-102: Q1 QPages 98-102: Q2 QPages 98-102: Q3 QPages 98-102: Q4 QPages 98-102: Q5 QPages 98-102: Q6 QPages 98-102: Q7 QPages 98-102: Q8 QPages 98-102: Q9 QPages 98-102: Q10 QPages 98-102: Q11 QPages 98-102: Q12 QPages 98-102: Q13 QPages 98-102: Q14 QPages 98-102: Q15 QPages 98-102: Q16 QPages 98-102: Q17 QPages 98-102: Q18 QPages 98-102: Q19 QPages 98-102: Q20 QPages 98-102: Q21 QPages 98-102: Q22 QPages 98-102: Q23 QPages 98-102: Q24 QPages 98-102: Q25 QPages 98-102: Q26 QPages 98-102: Q27 QPages 98-102: Q28 QPages 98-102: Q29 QPages 98-102: Q30 QPages 98-102: Q31 QPages 98-102: Q32 QPages 98-102: Q33 QPages 98-102: Q34 QPages 98-102: Q35 QPages 98-102: Q36 QPages 98-102: Q37 QPages 98-102: Q38 QPages 98-102: Q39 QPages 98-102: Q40 QPages 98-102: Q41 QPages 98-102: Q42 QPages 98-102: Q43 QPages 98-102: Q44 QPages 98-102: Q45 QPages 98-102: Q46 QPages 98-102: Q47 QPages 98-102: Q48 QPages 98-102: Q49 QPages 98-102: Q50 QPages 98-102: Q51 QPages 98-102: Q52 QPages 98-102: Q53 QPages 98-102: Q54 QPages 98-102: Q55

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Heat Transfer
Reference Textbook Solutions
Explore complete chapter exercises for HC Verma: Concepts of Physics - Volume 2
Competitive PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring