Final answer:
The formula for determining the wavelength of light in nanometers from the temperature in Kelvins is known as Wien's displacement law, expressed as W = b / T, where b is the displacement constant and T is the temperature.
Step-by-step explanation:
The formula that gives W, the wavelength of the light in nanometers, given the temperature, T, of the gas in Kelvins, is known as Wien's displacement law. According to Wien's displacement law, the wavelength at which the emission of radiation from a blackbody is at its maximum is inversely proportional to the temperature of the body. The formula is given by:
W = b / T
where W is the peak wavelength in nanometers, b is Wien's displacement constant (approximately 2.898 x 106 nm K), and T is the absolute temperature in Kelvins.