Introduction:

Stefan's constant is a physical constant that relates the total radiation emitted by a blackbody to its temperature. It is denoted by the symbol σ and has a value of 5.67 x 10^-8 W/m^2K^4 in SI units. In this response, we will convert the value of Stefan's constant from SI units to CGS units.

Conversion:

To convert Stefan's constant from SI units to CGS units, we need to convert each unit individually. The conversion factors are:
1 W = 10^7 erg/s
1 m^2 = 10^4 cm^2
1 K = 1°C + 273.15

Using these conversion factors, we can convert the units as follows:

5.67 x 10^-8 W/m^2K^4
= 5.67 x 10^-8 x 10^7 erg/s/cm^2K^4
= 5.67 x 10^-1 erg/s/cm^2K^4
= 5.67 x 10^-5 erg/s/cm^2°C^4

Therefore, the value of Stefan's constant in CGS units is 5.67 x 10^-5 erg/s/cm^2°C^4.

Conclusion:

Stefan's constant is a fundamental constant in physics that relates the total radiation emitted by a blackbody to its temperature. Its value is 5.67 x 10^-8 W/m^2K^4 in SI units and 5.67 x 10^-5 erg/s/cm^2°C^4 in CGS units. To convert from SI to CGS units, we used conversion factors for W to erg/s, m^2 to cm^2, and K to °C.