An object with a mass of #32 g# is dropped into #210 mL# of water at #0^@C#. If the object cools by #60 ^@C# and the water warms by #7 ^@C#, what is the specific heat of the material that the object is made of?

1 Answer
Mar 21, 2018

Answer:

The specific heat is #=3.21 kJkg^-1K^-1#

Explanation:

The heat is transferred from the hot object to the cold water.

For the cold water, # Delta T_w=7ºC#

For the hot object #DeltaT_o=60ºC#

# m_o C_o (DeltaT_o) = m_w C_w (DeltaT_w)#

The specific heat of water #C_w=4.186kJkg^-1K^-1#

Let, #C_o# be the specific heat of the object

The mass of the object is #m_o=0.032kg#

The mass of the water is #m_w=0.21kg#

#0.032*C_o*60=0.21*4.186*7#

#C_0=(0.21*4.186*7)/(0.032*60)#

#=3.21 kJkg^-1K^-1#