Why inorder to measure specific heat capacity we consider unit mass only and why is it not dependent on mass?

Asked by Himadri | 16th Apr, 2020, 02:21: PM

Expert Answer:

Specific heat capacity of a substance is the amount heat required for unit mass of substance to raise the temperature by 1º C .
 
begin mathsize 14px style straight c equals fraction numerator Amount space of space heat space energy space supplied over denominator Mass cross times Rise space in space temperature end fraction equals fraction numerator triangle straight Q over denominator straight m cross times triangle straight T end fraction end style
Therefore,
begin mathsize 14px style triangle straight Q equals mc triangle straight T end style 
It is just that we need to know the quantity of required heat energy per unit mass to calculate the specific heat. 
It does not matter what is the mass of the substance, the specific heat capacity for that substance will remain same. Hence, specific heat capacity is independent of mass. 
For example, if we have 100g of water in one beaker and 200 g of water in another the specific heat capacity of water will remain same which
is 4200 J kg-1 °C-1 = 4.2 J g-1 °C-1 (Remember that the specific heat capaity is intensive property of the substance)

Specific heat capacity of substance depends on the material of the substance
The specific heat capacity of the particular substance remains same and it does not depend on the mass of the substance. 
It is the energy required to raise the temperature of unit mass of substance by 1ºC
 
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However, if it is asked whether the heat capacity depends upon the mass, then the answer is 'Yes' 
Heat capacity depends upon the mass of the substance. 
There is difference between specific heat and heat capacity. 
 
The heat capacity of a body is the amount of heat energy required to raise its temperature by 1°C or 1 K.

Answered by Shiwani Sawant | 16th Apr, 2020, 03:30: PM