HC lab - Adam Romman Partner: Steven Chen Heat Capacity Lab...

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Adam Romman Partner: Steven Chen Heat Capacity Lab 6/8/2007 Data Analysis 1) Wavelength Measurements nitrogen CO2 helium 2995 Hz 4024 Hz 2102 Hz 2706 Hz 5063 Hz 6018 Hz len (m) diff (m) len (m) diff (m) len (m) diff (m) len (m) diff (m) len (m) diff (m) len (m) diff (m) 0.095 0.099 0.091 0.079 0.083 0.062 0.153 0.058 0.143 0.044 0.154 0.063 0.128 0.049 0.183 0.1 0.146 0.084 0.212 0.059 0.186 0.043 0.219 0.065 0.178 0.05 0.283 0.1 0.23 0.084 0.271 0.059 0.23 0.044 0.282 0.063 0.228 0.05 0.383 0.1 0.314 0.084 0.33 0.059 0.273 0.043 0.345 0.063 0.278 0.05 0.483 0.1 0.398 0.084 0.388 0.058 0.316 0.043 0.409 0.064 0.327 0.049 0.583 0.1 0.482 0.084 0.447 0.059 0.36 0.044 0.472 0.063 0.376 0.049 0.683 0.1 0.566 0.084 0.505 0.058 0.403 0.043 0.536 0.064 0.426 0.05 0.783 0.1 0.65 0.084 0.564 0.059 0.447 0.044 0.6 0.064 0.476 0.05 0.883 0.1 0.734 0.084 0.622 0.058 0.491 0.044 0.664 0.064 0.525 0.049 0.818 0.084 0.681 0.059 0.535 0.044 0.728 0.064 0.575 0.05 0.902 0.084 0.74 0.059 0.579 0.044 0.792 0.064 0.625 0.05 0.798 0.058 0.622 0.043 0.855 0.063 0.675 0.05 0.857 0.059 0.666 0.044 0.725 0.05 0.71 0.044 0.775 0.05 0.753 0.043 0.824 0.049 0.797 0.044 0.874 0.05 0.841 0.044 0.884 0.043 Gas nitrogen CO2 helium frequency (Hz) 2995 4024 2102 2706 5063 6018 sys error 1 1 1 1 1 1 avg length (m) 0.117 0.087 0.127 0.099 0.200 0.168 stand dev 0.0005 0.0005 0.0007 0.0005 0.0000 0.0000 rand error 0.0005 0.0005 0.0007 0.0005 0.0000 0.0000 sys error 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 2) v = λ * f f = frequency (1/s) v = velocity (m/s) λ = wavelength (m)
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example with nitrogen: v = 0.117 m * 2995 s^-1 = 351 m/s >> 351 +/- 3 m/s Gas nitrogen CO2 helium frequency (Hz) 2995 4024 2102 2706 5063 6018 speed (m/s) 351.106 350.982 267.655 268.909 1012.600 1011.024 rand error 1.521 2.020 1.375 1.299 0.200 0.168 sys error 2.997 4.025 2.106 2.708 5.067 6.020 avg speed (m/ s) 351 268 1012 rand error 1.265 0.946 0.131 sys error 2.509 1.715 3.934 total error 3 2 4 3) Slope = m = v/4L L = cavity length v = speed of sound v = 4L*m example with helium: slope = 469.5 = v / 4 *0.5 v = 939 m/s >> 939 +/- 3 m/s frequency length (m) 0.5 n helium nitrogen CO2 error 0.001
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HC lab - Adam Romman Partner: Steven Chen Heat Capacity Lab...

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