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The color of a flame is determined by various factors, including the temperature and the presence of specific chemical compounds. While it is true that natural gas flames can burn with a blue color, it's important to note that the color of a flame does not necessarily correspond directly to the peak wavelength predicted by Wien's displacement law.

Wien's displacement law states that the peak wavelength of the radiation emitted by a black body (which approximates an ideal radiator) is inversely proportional to its temperature. The equation is given by:

λ_max = (b / T),

where λ_max is the peak wavelength, b is Wien's constant (approximately equal to 2.898 × 10^(-3) m·K), and T is the absolute temperature in Kelvin.

Now, when applying this formula to the temperature of a natural gas flame, such as 1960 degrees Celsius (2233 Kelvin), you will indeed calculate a peak wavelength. However, this peak wavelength may not fall within the blue part of the visible spectrum.

The color of a flame is also influenced by the specific chemical compounds present in the combustion process. In the case of natural gas, the blue color of the flame is primarily due to the combustion of hydrocarbon compounds, such as methane. The blue color arises from the excitation and emission of certain atomic or molecular species present in the flame.

These excited states and emission spectra are influenced by factors beyond temperature alone. Therefore, while the flame temperature might be high enough to correspond to a certain peak wavelength according to Wien's displacement law, the presence of specific chemical compounds and their emission properties can result in a different visible color, such as blue.

In summary, the color of a flame is not solely determined by its temperature or the peak wavelength predicted by Wien's displacement law. It is a complex interplay of temperature, chemical composition, and the emission properties of the excited species within the flame.

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