An aluminium vessel of mass 0.5 kg contains 0.2 kg of water at 2 0 ∘ C. A block of iron of mass 0.2 kg at 10 0 ∘ C is gently put into water. If the equilibrium temperature of mixture is T ∘ C, fill th

Question

An aluminium vessel of mass 0.5 kg contains 0.2 kg of water at 2 0 ∘ C. A block of iron of mass 0.2 kg at 10 0 ∘ C is gently put into water. If the equilibrium temperature of mixture is T ∘ C, fill the value of 5 T ​ . S i ro n ​ = 470 J kg − 1 K − 1 ; S A l ​ = 1140 J kg − 1 K − 1 ; S w a t er ​ = 4200 J kg − 1 K − 1

TestHub · Accepted Answer

Heat capacity of vessel + water = 0.5 ( 1140 ) + 0.2 ( 4200 ) = 570 + 840 = 1410 J/K Heat capacity of iron = 0.2 ( 470 ) = 94 J/K 1410 ( T − 20 ) = 94 ( 100 − T ) ⇒ 1504 T = 28200 + 9400 = 37600 T = 2 5 ∘ C so T /5 = 5 Answer: 5.

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