45 g of water at 50°C in a beaker is cooled when
50 g of copper at 18°C is added to it. The contents
are stirred till a final constant temperature is reached.
Calculate the final temperature. The specific heat
capacity of copper is 0.39 Jg'Kand that of water
is 4.2 Jg'K. State the assumption used.
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Heat gained by copper = m × C × θ
= 50 × 0. 39 × (T − 18)
Heat lost by water = 45 × 4. 2 × (50 − T)
Heat lost = Heat gained
45 × 4. 2 × (50 − T) = 50 × 0. 39 × (T − 18)
9450 − 189 T = 19. 5 T − 351
208. 5 T = 9801
Or T = 47°C (Approx)
So the final temperature is 47°C (Approx)
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