An object with a mass of #45 g# is dropped into #350 mL# of water at #0^@C#. If the object cools by #24 ^@C# and the water warms by #8 ^@C#, what is the specific heat of the material that the object is made of?

1 Answer
Jun 21, 2017

Answer:

The specific heat of the material is #=10.85kJkg^-1K^-1#

Explanation:

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

For the cold water, # Delta T_w=8ºC#

For the object #DeltaT_o=24ºC#

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

#C_w=4.186kJkg^-1K^-1#

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

Mass of the object is #m_0=0.045kg#

Mass of the water is #m_w=0.35kg#

#0.045*C_o*24=0.35*4.186*8#

#C_o=(0.35*4.186*8)/(0.045*24)#

#=10.85kJkg^-1K^-1#