Search (Alt + Q) rences Review View Help Comments AABIURAV ... EV EVE Data Table 1: Thermal Spectra Characteristics for Different Temperatures Temperatur 2peak (nm) apeak (color, ux, or Peak Energy/sec/m2 IR (MW/m2) 3800 K 700 nm red 31.65 5800 K 500 nm green 83 6600 K 400 nm blue 47.47 8300 K 300 nm n/a 15 Table 2: Comparison with Wien's Law Temperatur 2peak (nm) Temperature (Wien's % Error Law 3800 K 700 nm 4,142.86 K 8.3% 5800 K 500 nm 5,800 K 91.4% 6600 K 400 nm 7,250 K 8.97% 8300 K 300 nm 9,666.67 K 14.14% . Text Predictions: On Editor Suggestions: Showing Page View To Web View + Q Search IN LOL O Th CM w O- O-+ 08 O F3 F4 F5 F6 F7 F8 F9 10 F11 F12 S CO 4 8 O E O PGraph of Plot 2 showing linear trendline. Record slope of Plot 2. Graph of Plot 3 showing linear trendline. . Record slope of Plot 3. . Percent error of slope with Wien's law coefficient. . All mass traces.. In the table, below, record the temperature, a dash under wavelength maximum (no distinguishable experimental wavelength maximum), and the area underneath the curve as 0.000g for trial 1. Trial Temperature (K) Wavelength of the Peak Tracing Paper Mass (g) (as a Maximum (um) function of Area under the Curve) With the sliding arrow, increase the temperature to slightly over 1000 C. Place tracing paper on the screen and trace the area underneath the Gaussian Curve. Write the corresponding temperature in degrees Kelvin under the curve. The area under the curve is a measure of the intensity of the energy radiated at all wavelengths. Save the trace for the laboratory phase of the experiment. Record the wavelength, in um, corresponding to the peak (maximum) of the Gaussian Curve and record it in a table of wavelength and temperature in degrees Kelvin. Repeat the procedure for several temperature until the maximum of a curve is at the top of the Intensity chart. This will be the last data point of this experiment. 2) In the laboratory: Mass all traces, and record the data in the table provided above. Post -Phase: 1) With your graphing calculator (or alternately, in an Excel spreadsheet), list the Temperature as Ly, the wavelength of the peak maxima in Ly, and the area under the curve ( energy intensity related by mass, in grams) as L3- 2) In Plot 1, graph the Temperature (X-axis: Lj) versus the wavelength of the peak maxima (Y-axis: L2). [If you are using Excel, make a graph of these two parameters]. a. Based on the plot, what relationship do these two parameters appear to hold? b. List in L. the reciprocal of Ly. Turn off Plot 1, and create a Plot 2 with 1/T (X-axis: La), keeping Y-axis: Lz Adjust your window to accommodate the new X-axis values. The graph of Plot 2 should give you a linear plot. c. Do a Linear Regression for La, L2. Record the slope of the line (include units): d. The Wien Law gives the wavelength of the peak of the radiation distribution, Amax = 2.90 x 103 um K.. We will use tracing paper cutouts of the Gaussian curve as a measure of the total radiation intensity [The tracing paper is assumed to be of uniform density. Therefore, the area under each curve is directly proportional to the mass of the paper cutout.]. Each cutout will be massed separately in a balance to the nearest 1,000th of a gram, and the mass will be recorded for each temperature in degrees Kelvin. . Start Point: Increase the Intensity axis scale from 100 to 0.1 by toggling the plus (+) circle on the upper left hand side of the screen. Using the Zoom Out Toggle, minus sign (-), on the lower right hand side, scale the Wavelength axis to 24. Lower the temperature of the blackbody to 300 K by lowering the index on the temperature scale. Notice that the curve cannot be distinguished from the wavelength axis.e. Compare your experimental slope, recorded in 2} c., above, with the accepted coefcient of the Wien Law, EBB :1: 1i]3 pm K. What is the percent error of your determination? 3} Turn off Plot 2, and create 3 Plot 3 with the Temperature [ll-axis: L1] UETEUS relatiye total energy intensity {Yaxis: L3}. [If you are using Excel, make a graph of these two para meters]. a. Based on the plot, what relationship do these two parameters appear to hold?. h. According to Maxwell Planck, the total energy intensity of a black body is a function of T\": a quartic I41\" power] function. Test this hypothesis lay creating a new list {L., = L14]. i. Change Plot 3 with the Temperature to the fourth power Nexis: La], keeping the total energy intensity ['raxis: L1}. Adjust your Window to show all the IIialues on the Eli-axis. ii. The graph should he a linear plot. Do a linear Regression L1, L3, iii. Write the slope of the line Do not forget to write the expected units: This value Is related to the Stefan- Boltzmann Law, derived from experiments by Stephan [18?9} a nd Boltzmann {lBBtl}