waec model questions vol1 2019 physics

Objective Question 22

Question 22 WAEC_MODEL_QUESTIONS_VOL1 • 2019
A 2.0 kg metal block at \(150^{\circ}\text{C}\) is placed into an insulated container holding 3.0 kg of water at \(20^{\circ}\text{C}\). After thermal equilibrium is reached the temperature of the system is \(30^{\circ}\text{C}\) and 0.5 kg of the water has frozen. The specific heat capacity of water is \(4.186\times10^{3}\ \text{J·kg}^{-1}\text{K}^{-1}\) and the latent heat of fusion of water is \(3.34\times10^{5}\ \text{J·kg}^{-1}\). Determine the specific heat capacity of the metal (in \(\text{J·kg}^{-1}\text{K}^{-1}\)).
Answer Options
A. 9.5e2
Correct Answer B. 1.22e3
C. 1.45e3
D. 8.0e2
Correct Answer
B

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