An object with a mass of 150 g is dropped into 850 mL of water at 0^@C. If the object cools by 40 ^@C and the water warms by 3 ^@C, what is the specific heat of the material that the object is made of?

1 Answer
Mar 3, 2017

The specific heat of the object is =1.78kJkg^-1K^-1

Explanation:

The heat transferred from the hot object, is equal to the heat absorbed by the cold water.

For the cold water, Delta T_w=3º

For the metal DeltaT_o=40º

m_o C_o (DeltaT_o) = m_w C_w (DeltaT_w)

C_w=4.186kJkg^-1K^-1

m_0 C_o*40 = m_w* 4.186 *3

0.15*C_o*40=0.85*4.186*3

C_o=(0.85*4.186*3)/(0.15*40)

=1.78kJkg^-1K^-1