Experimental Value vs. Empirical Value
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Experimental Value vs. Empirical Value
On page 10 the experimental value of the constant is 5.67 X 10^-8 W X m^-2 X K^-4. Later on it restates the word constant for Wien's law but shows the constant as an empirical value that equals 2.9 K X mm. Is it safe to say that the Experimental value and the Empirical value are one in the same and one is just the simplified version of the other?
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Re: Experimental Value vs. Empirical Value
Actually you're looking at two different laws in action. The Stefan-Boltzmann law, which relates intensity to temperature, is different from Wien's law, which relates wavelength to temperature. As you can see, we have two different equations relating different things, and so we have different values for the constants (notice also that the units are fairly different between the two constants). Therefore, 5.67 X 10^-8 W X m^-2 X K^-4 is the value of the constant only for the Stefan-Boltzmann law, and 2.9 K X mm is the value of the constant only for Wien's law; they are not interchangeable. But these are equations relating to black body radiation, which I believe Lavelle said is more of a physics concept and is thus not as stressed in class, so i wouldn't worry about it too much. Hope this helps!
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