Heat energy of 184 kJ is given to ice of mass 600 g at -12°C. Specific heat of ice is 2222.3 J kg⁻¹ °C⁻¹ and latent heat of ice is 336 kJ kg⁻¹. A. Final temperature of system will be 0°C. B. Final temperature of the system will be greater than 0°C. C. The final system will have a mixture of ice and water in the ratio of 5 : 1. D. The final system will have a mixture of ice and water in the ratio of 1 : 5. E. The final system will have water only. Choose the correct answer from the options given below:
Options

Question

Heat energy of 184 kJ is given to ice of mass 600 g at -12°C. Specific heat of ice is 2222.3 J kg⁻¹ °C⁻¹ and latent heat of ice is 336 kJ kg⁻¹. A. Final temperature of system will be 0°C. B. Final temperature of the system will be greater than 0°C. C. The final system will have a mixture of ice and water in the ratio of 5 : 1. D. The final system will have a mixture of ice and water in the ratio of 1 : 5. E. The final system will have water only. Choose the correct answer from the options given below:

Options

G1 Physics · Accepted Answer

Heat needed to raise 0.6 kg ice from −12°C to 0°C is Q₁ = 0.6×2222.3×12 ≈ 1.60×10⁴ J. Remaining heat ≈ 1.68×10⁵ J. Heat required to melt all ice is 0.6×336000 = 2.016×10⁵ J, so not all ice melts and final temperature remains 0°C. Melted ice mass = 1.68×10⁵/336000 ≈ 0.50 kg, leaving ≈0.10 kg ice. Thus ice:water ≈ 1:5. Hence A and D are correct.