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A 50 g block of metal is heated to 200^(...

A 50 g block of metal is heated to `200^(@)C` and then dropped into a beaker containing 0.5 kg of water initially at `20^(@)C.` if the final equilibrium temperature of the mixed system is `22.4^(@)C`, find the specific heat capacity of the metal. Given, specific heat capacity of water is 4182 J `kg^(-1).^(@)C^(-1)`.

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