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?

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Answer 1 · 2018-03-21T22:32:22

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

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 $m_w=0.21kg$

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

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

$=3.21 kJkg^-1K^-1$

An object with a mass of 32 g32 g is dropped into 210 mL210 mL of water at 0^@C0^@C. If the object cools by 60 ^@C60 ^@C and the water warms by 7 ^@C7 ^@C, what is the specific heat of the material that the object is made of?