How to Calculate Specific Heat of the metal?

Calculate the specific heat of the metal. [ More info in Question]?

  • A 64.1 g sample of metal at 96.77 degrees C is added to 52.12 g of water that is initially at 24.04 degrees C. The final temperature of both the water and the metal is 28.06 degrees C. The specific heat of water is 4.184 J/(g degrees C). Calculate the specific heat of the metal.

  • Answer:

    heat lost by metal = 64.1 x specific heat ( 28.06 - 96.77)= - 4404 x specific heat heat gained by water = 52.12 x 4.184 ( 28.06 - 24.04)=876.6 J heat lost + heat gained =0 - 4404 x specific heat + 876.6 = 0 specific heat = 0.1991 J/g°C

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