## Specific Heat Capacity Formula

The definition of specific heat capacity of any substance is “the quantity of heat required to change the temperature of a unit mass of the substance by 1 degree.” This is articulated as:

$\dpi{120}&space;\large&space;Specific\;&space;Heat\;&space;Capcity=\frac{energy\;&space;required}{mass\times\Delta&space;T}$

As it indicates the resistance of a material to an alteration in its temperature, specific heat capacity is a type of thermal inertia. Specific Heat Capacity Formula is also communicated in relation to the quantity of heat Q.

$\dpi{120}&space;\large&space;c=\frac{Q}{m\times\Delta&space;T}$

Specific heat capacity in terms of heat capacity is conveyed as

## $\dpi{120}&space;\large&space;Specific\;&space;Heat\;&space;Capcity=\frac{energy\;&space;required}{mass\times\Delta&space;T}$

Problem 1: Compute the specific heat capacity if it requires 6000J of heat in order to get the temperature of body of a mass 1000g raised by 10oC.

Known

Mass of body = 1000g = 1kg

Rise in temperature = 10oC

Quantity of heat = 6000J

We can use the formula,

## $\dpi{120}&space;\large&space;c=\frac{Q}{m\times\Delta&space;T}$

Therefore,

Specific heat c = 60001×1060001×10

Specific heat c = 600J/kgoC

Problem 2: A body of mass 50g has a heat capacity of 3cal/oC. What will be the specific heat capacity of that body?

Known

Mass of body = 50g

Heat capacity = 0.06cal/goC

Now we can use the formula

## $\dpi{120}&space;\large&space;Specific\;&space;Heat\;&space;Capcity=\frac{energy\;&space;required}{mass\times\Delta&space;T}$

Specific heat capacity = 350350

Specific heat capacity = 0.06cal/goC

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