An aluminium vessel of mass 0.5 kg

Question:

An aluminium vessel of mass $0.5 \mathrm{~kg}$ contains $0.2 \mathrm{~kg}$ of water at $20^{\circ} \mathrm{C}$. A block of iron of mass $0.2 \mathrm{~kg}$ at $100^{\circ} \mathrm{C}$ is gently put into the water. Find the equilibrium temperature of the mixture. Specific heat capacities of aluminium, iron and water are $910 \mathrm{~J} / \mathrm{kg}-\mathrm{K}, 470 \mathrm{~J} / \mathrm{kg}-\mathrm{K}$ and $4200 \mathrm{~J} / \mathrm{kg}-\mathrm{K}$ respectively.

Solution:

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