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