An object with a mass of $125 g$ is dropped into $750 mL$ of water at $0^@C$ . If the object cools by $70 ^@C$ and the water warms by $3 ^@C$ , what is the specific heat of the material that the object is made of?

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Answer 1 · 2016-03-02T09:42:35

$0.257$ to 3 decimal places

Specific heat Capacity is a measurement of the amount of energy needed to change the temperature of 1 Kg of the material by $1^o$ C.

The name given to this energy type is Joules and has the symbol $J$ .

Known:
Specific heat of water is 1
$1ml" of water weighs "1g$

The relevant association is
$color(blue)("Mass "xx" change in temperature "xx" specific heat capacity")$

Let $x$ be the Specific Heat Capacity of the object

For the object we have: $" "125g xx70^oC xx x$
For the water we have: $" "750xx3^oCxx1$

Giving:

$750xx3^oCxx1" " =" "J" "=" "125g xx70^oC xx x$

$=> x=(3xx750)/(125xx70)$

$0.257$ to 3 decimal places

An object with a mass of 125 g125 g is dropped into 750 mL750 mL of water at 0^@C0^@C. If the object cools by 70 ^@C70 ^@C and the water warms by 3 ^@C3 ^@C, what is the specific heat of the material that the object is made of?