# An object with a mass of 18 g is dropped into 240 mL of water at 0^@C. If the object cools by 120 ^@C and the water warms by 6 ^@C, what is the specific heat of the material that the object is made of?

Feb 5, 2016

$\text{a}$)${c}_{o} = 0 , 0 \overline{1}$$\text{ specific heat of material}$
$\text{b}$)$\text{material may be made of iron}$

#### Explanation:

$\text{heat taken by water is:} {Q}_{t} = {m}_{w} . {c}_{w} . \Delta t$
$\text{240 m L of water is 240 mg =0,24 g" " "c_w=1}$
${Q}_{t} = 0 , 24.1 . \left(10 - 0\right) = 2 , 4 C a l$
$\text{ heat given by object is:} {Q}_{o} = {m}_{o} . {c}_{o} . \Delta {t}_{o}$
${Q}_{o} = 18 . {c}_{o} .120 = {c}_{o} .2160$
${c}_{o} .2160 = 2 , 4$
${c}_{o} = \frac{2 , 4}{2160}$
$\text{a}$)${c}_{o} = 0 , 0 \overline{1}$$\text{ specific heat of material}$
$\text{b}$)$\text{material may be made of iron}$