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Question

A solid of mass 50g at 150°C is placed in 100g of water at 11°C, when the final temperature recorded is 20°C. Find the specific heat capacity of the solid.


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Solution

Step 1: Organised table of the given data

SubstanceMassS.H.CInitial TemperatureFinal Temperature=x
Solid50gx150°CθF=150-11=139°C
Water100g4.2Jg-1°C-111°CθR=20-11=9°C

Step 2: Calculating the heat energy

The heat released by the hot solid is given as

mcθF=50×x×139=6950x

The heat absorbed by the water is given as

mcθR=100×4.2×9=3780

Step3: Calculating the specific heat f capacity of solid

The heat released by solid= Heat absorbed by water

6950x=3780x=0.58

Hence specific heat capacity of solid is 0.58Jg-1°C-1


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