# Specific Heat

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Specific heat, abbreviated as c, is the amount of energy required to increase one gram of a substance by 1 degree celsius.

## Specific heat formula

$$\large{ c = \frac{ Q }{m \; \Delta T } }$$
Symbol English Metric
$$\large{ c }$$ = specific heat $$\large{\frac{Btu}{lbm-F}}$$ $$\large{\frac{kJ}{kg-K}}$$
$$\large{ m }$$ = mass $$\large{lbm}$$ $$\large{kg}$$
$$\large{ Q }$$ = specific heat capacity $$\large{\frac{Btu}{lbm-F}}$$ $$\large{\frac{kJ}{kg-K}}$$
$$\large{ \Delta T }$$ = temperature change $$\large{F}$$ $$\large{K}$$

## Related formula (Eckert number)

$$\large{ c = \frac{ U^2 }{ 2 \; Ec \; \Delta T } }$$
Symbol
$$\large{ c }$$ = specific heat
$$\large{ U }$$ = characteristic flow velocity
$$\large{ Ec }$$ = Eckert number
$$\large{ \Delta T }$$ = temperature change