The heat required to raise 3 kg of copper from 0°C to 10°C raises 1kg of lead from 10°C to 100°C. If the specific heat capacity of copper is 0.095 cal/g°C, find the specific heat capacity of lead.​

The specific heat capacity of lead has been determined to be 0.032 cal/g°C.

The specific heat capacity of a substance is the amount of heat required to increase the temperature of its unit mass by 1 Kelvin rise in temperature.  There is no phase change during the process. This can be expressed as:

Q = mcT

c =

Where c is the specific heat capacity of the substance, Q is the quantity of heat required, m is the mass of the substance and T is its change in temperature.

In the given question, the heat emitted by the copper mass would be absorbed by the lead mass.

So that;

heat emitted by copper = heat absorbed by lead

( - ) = ( - )

With the given information in the question, the above equation is expressed as:

3 * 0.095 * (10 - 0) = 1 * * (100 - 10)

3*0.095*10 = * 90

2.85 = *90

=

  = 0.031667

= 0.032 cal/g°C

Therefore, the specific heat capacity of lead is 0.032 cal/g°C.

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