# An object with a mass of #20 g# is dropped into #6400 mL# of water at #0^@C#. If the object cools by #60 ^@C# and the water warms by #3 ^@C#, what is the specific heat of the material that the object is made of?

##### 1 Answer

May 13, 2018

Specific heat of the material that the object is made of is

#### Explanation:

Three things are important here.

- We assume no heat is lost in the process. In other words heat lost by the object is equal to heat gained by water.
- Heat lost or gained is product of mass of the object / water, fall or gain in its temperature and its specific heat.
- Specific heat of water is
#1# . Further mass of water is#1gm.# per#mL# i.e.#6400mL# means#6400# grams.

Now, if specific heat of the material of object is

Heat gained by water is

Hence

Hence, specific heat of the material that the object is made of is