The Chemical EducatorISSN: 1430-4171 (electronic version) Abstract Volume 10
Issue 4 (2005) pp 295-297 Hypothesis Testing Inclusion in the Atomic Emission Spectrum of Hydrogen ExperimentFrazier Nyasulu,* James A. van Zee, William Cusworth III, and John Macklin Department of Chemistry, University of Washington,
Box 351700, Seattle, WA 98195, nyasulu@chem.washington.edu Published online: 23 June 2005 Abstract. The measurement of the visible emission spectrum of hydrogen, a common general chemistry laboratory experiment, can be presented in a manner that incorporates hypothesis testing. In the Rydberg equation (1/l = R(1/n_{f}^{2} – 1/n_{i}^{2}), the hypotheses tested are n_{f} = 1, 2, 3, …. Hypothesis testing involves calculating an n_{f} value from the emission wavelength data. The hypothesis that fits is one in which n_{f }(hypothesis) = n_{f }(calculated). From a linear regression of 1/l versus 1/n_{i}^{2}, n_{f }(calculated) = Ö(–m/b) where m is the slope and b is the y intercept. For the visible region emission data, n_{f }(calculated) values are 1.30, 2.00, and 2.72 for n_{f} (hypothesis) values of 1, 2, and 3, respectively, indicating that n_{f} = 2.
Key Words: Laboratories and Demonstrations; general chemistry; quantum mechanics; hypothesis testing (*) Corresponding author. (E-mail: nyasulu@chem.washington.edu) Article in PDF format (217 KB) HTML format Supporting Materials:
9/26/2005 Revision posted. Correction to Table 1 Issue date: August
1, 2005 |