Practice question
Question
A copper block of mass 0.5kg at 100∘C is dropped into 1kg of water at 20∘C. Find the final temperature. (Specific heat of copper = 386J kg−1K−1, water = 4186J kg−1K−1)
Explanation
Heat lost by copper = Heat gained by water. mcsc(100−T) = mwsw(T−20). 0.5×386×(100−T) = 1×4186×(T−20). 19300−193T = 4186T−83720. 19300+83720 = 4186T+193T. 103020 = 4379T⇒T≈23.53∘C. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 23.5°C. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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