An object with a mass of 10 g is dropped into 240 mL of water at 0^@C. If the object cools by 120 ^@C and the water warms by 5 ^@C, what is the specific heat of the material that the object is made of?

1 Answer
Dec 13, 2017

The specific heat is =4.186 kJkg^-1K^-1

Explanation:

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

For the cold water, Delta T_w=5ºC

For the object DeltaT_o=120ºC

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=0.01kg

The mass of the water is m_w=0.24kg

0.01*C_o*120=0.24*4.186*5

C_o=(0.24*4.186*5)/(0.01*120)

=4.186 kJkg^-1K^-1