An object with a mass of 60 g is dropped into 900 mL of water at 0^@C. If the object cools by 40 ^@C and the water warms by 16 ^@C, what is the specific heat of the material that the object is made of?

1 Answer
Mar 6, 2016

Specific heat of the material that the object is 6.

Explanation:

In such cases heat lost by one equals heat gained by other. Heat lost / gained is given by product of mass m, specific heat s (which is 1 for water) and change in temperature,

Let the specific heat of the mass of 60g, which cools by 40^oC be s. Hence heat lost is 60xx40xxs calories.

900mL of water means 900g and it warms by 16∘C. Hence heat gained by it is 900xx16=14400 calories.

Hence 60xx40xxs=14400 or x=14400/(60xx40)=6

Hence, specific heat of the material that the object is 6.