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Question: A piece of zinc at a temperature of 20<sup>0</sup>C weighing 65.38 g is dropped into 180 g of boilin...

A piece of zinc at a temperature of 200C weighing 65.38 g is dropped into 180 g of boiling water (T = 1000C). The specific heat of zinc is 0.4 J g–1 C–1 and that of water is 4.2 J g–10C–1. What is the final common temperature reached by both the zinc and water ?

A

97.30C

B

33.40C

C

80.10C

D

60.00C

Answer

97.30C

Explanation

Solution

Let final common temperature is Tf

Heat gained by Zinc piece = Heat lost by water

0.4 (Tf – 20) × 65.38 = 4.2 (100 –Tf) × 180

\Rightarrow Tf = 97.3 0C