Question

Write the formula to obtain specific heat of a material?​

Answer 1

Expression for SPECIFIC HEAT CAPACITY:

• Specific heat capacity of a substance is defined as the the heat required to raise the temperature of unit mass of that substance by 1°C or 1 Kelvin.

Now, in general use , we can say:

• Heat required is directly proportional to the mass of the substance.

$\rm \: H \propto \: m\:\:\:\:. . . (1)$

• Heat required is directly proportional to the temperature change.

$\rm \: H \propto \: \Delta T\:\:\:. . . (2)$

Combining the equations:

$\rm \implies\: H \propto \:(m \times \Delta T)$

Now, introducing a constant:

$\rm \implies \: H = m \times c \times \Delta T$

• This constant 'c' is the specific heat capacity.

$\rm \implies \: c = \dfrac{H}{ m\Delta T}$

So, final expression is:

$\boxed{ \bf \: c = \dfrac{H}{ m\Delta T}}$