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heat capacity ratio of argon I need help to calculate the uncertainty, 95% Error propagation for the sound velocity and for the heat capacity ratio

heat capacity ratio of argon
I need help to calculate the uncertainty, 95% Error propagation for the sound velocity and for the heat capacity ratio for this experiment.
everything already calculated I just need help for what I mentioned. image text in transcribed
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heat capacity ratio of Argon, co2 and N2
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CO2 trial 1 and 2
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N2 trial 1 and 2
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bo more data needed
Trial 4 30.12 Adiabatic Expansion Method Table1. Data collected before opened the stopper Column1 Trial 1 Trial 2 Trial 3 Po (Hg) 30.21 30.09 30.12 (mmHg) 767.334 764.286 765.048 h1 (cm) 31.6 31.52 31.46 h2 (cm) 58.65 58.68 58.7 765.048 31.85 58.42 Table 2. Data collected after opened the stopper Trial 1 30.12 Trial 2 30.3 Trial 3 30.12 Trial 4 30.09 Column1 Po (Hg) (mmHg) h1 (cm) h2 (cm) 765.048 40.96 48.71 769.62 40.68 48.8 765.048 40.91 48.52 764.286 41.22 48.49 Triall(mmHg Trial2(mmHg Trial3(mmHg) Trial4(mmHg) H.C P1 788.180 785.217 785.041 785.524 P2(before) 765.048 764.286 765.048 765.048 P3 771.021 775.878 770.913 769.889 P2(After) 765.048 769.62 765.048 764.286 P2(B&A) 765.048 766.953 765.048 764.667 Average H.C (7) 1.218 1.967 1.421 1.339 | (cm) Argon (Trial 1) f(HZ) 3206 3206 (-) (+) (-) (+) (-) (+) Average X (cm) T(C) 33.35 20.2 28.26 20.35 23.28 20.29 18.45 20.33 13.32 20.4 8.51 20.45 3.46 20.36 T(K) 293.53 293.50 293.44 293.48 293.55 293.60 293.51 293.517 319.218 1.668 3205 3203 3202 3202 3202 3203.714 5.09 4.98 4.83 5.13 4.81 5.05 4.982 m is y Argon (Trial 2) (-) X (cm) 33.22 28.19 23.25 18.32 13.39 8.52 3.53 T(C) 20.4 20.46 20.47 20.51 20.5 20.48 20.55 T(K) 293.55 293.61 293.62 293.66 293.65 293.63 f(HZ) 3206 3206 3207 3206 3206 3206 3205 3206 (-) (+) (-) 4.99 4.87 4.93 4.93 4.94 5.03 4.948 Average 293.70 293.631 m 317.266" 1.647 Vs S Y Foc + (-) (-) (+) (-) (+) 33.78 30.6 25.7 20.68 15.59 10.45 4.39 0.57 20.2 20.35 20.29 20.33 20.4 20.45 20.36 20.5 293.35 293.50 293.44 293.48 293.55 293.60 293.51 293.65 293.51 247.8411 2647 2648 2649 2648 2648 2648 2648 2647 2647.875 3.18 4.46 5.02 5.09 5.14 6.06 3.82 4.681 Vs m S Y 1.108 CO2 (Trial 2) T(K) (cm) (-) (+) X (cm) 34.13 30.8 25.72 20.49 15.61 10.5 5.55 0.52 T (C) 20.4 20.46 20.47 20.51 20.5 20.48 20.55 20.52 293.55 293.61 293.62 293.66 293.65 293.63 293.70 293.67 293.636 254.165 1.165 f (HZ) 2647 2647 2647 2647 2647 2647 2647 2647 2647 5.03 4.95 5.11 4.88 5.23 5.08 3.33 4.801 (+) Vs s Y Fan AaBbceDde My , AaBbCcDdE AaBt Normal No Spacing Head (-) (-) (+) (-) (+) (+) 35.75 30.1 25.4 19.9 15 10.15 4.9 0.3 19.97 19.92 19.9 19.9 19.97 20.02 19.94 20.02 293.12 293.07 293.05 293.05 293.12 293.17 293.09 293.17 293.105 351.247 3468 3469 3468 3468 3467 3468 3468 3467 3467.875 5.65 4.70 5.50 4.9 4.85 5.25 4.6 5.06428571 + + Vs 1.418 N2 (Trial 2) (cm) IN (-) (+) (-) (+) (-) (+) X (cm) 35.20 30.1 25.10 20.20 15.20 10.25 5.30 0.30 T(C) 20.07 20.19 20.16 20.14 20.19 20.18 20.18 T(K) 293.22 293.34 293.31 293.29 293.34 293.33 293.33 293.39 293.319 m 345.804 f(HZ) 3467 3468 3468 3467 3468 3468 3468 3468 3467.75 5.10 5.00 4.9 5.00 4.95 4.95 5.00 20.24 4.986 Vs S y 1.374 Trial 4 30.12 Adiabatic Expansion Method Table1. Data collected before opened the stopper Column1 Trial 1 Trial 2 Trial 3 Po (Hg) 30.21 30.09 30.12 (mmHg) 767.334 764.286 765.048 h1 (cm) 31.6 31.52 31.46 h2 (cm) 58.65 58.68 58.7 765.048 31.85 58.42 Table 2. Data collected after opened the stopper Trial 1 30.12 Trial 2 30.3 Trial 3 30.12 Trial 4 30.09 Column1 Po (Hg) (mmHg) h1 (cm) h2 (cm) 765.048 40.96 48.71 769.62 40.68 48.8 765.048 40.91 48.52 764.286 41.22 48.49 Triall(mmHg Trial2(mmHg Trial3(mmHg) Trial4(mmHg) H.C P1 788.180 785.217 785.041 785.524 P2(before) 765.048 764.286 765.048 765.048 P3 771.021 775.878 770.913 769.889 P2(After) 765.048 769.62 765.048 764.286 P2(B&A) 765.048 766.953 765.048 764.667 Average H.C (7) 1.218 1.967 1.421 1.339 | (cm) Argon (Trial 1) f(HZ) 3206 3206 (-) (+) (-) (+) (-) (+) Average X (cm) T(C) 33.35 20.2 28.26 20.35 23.28 20.29 18.45 20.33 13.32 20.4 8.51 20.45 3.46 20.36 T(K) 293.53 293.50 293.44 293.48 293.55 293.60 293.51 293.517 319.218 1.668 3205 3203 3202 3202 3202 3203.714 5.09 4.98 4.83 5.13 4.81 5.05 4.982 m is y Argon (Trial 2) (-) X (cm) 33.22 28.19 23.25 18.32 13.39 8.52 3.53 T(C) 20.4 20.46 20.47 20.51 20.5 20.48 20.55 T(K) 293.55 293.61 293.62 293.66 293.65 293.63 f(HZ) 3206 3206 3207 3206 3206 3206 3205 3206 (-) (+) (-) 4.99 4.87 4.93 4.93 4.94 5.03 4.948 Average 293.70 293.631 m 317.266" 1.647 Vs S Y Foc + (-) (-) (+) (-) (+) 33.78 30.6 25.7 20.68 15.59 10.45 4.39 0.57 20.2 20.35 20.29 20.33 20.4 20.45 20.36 20.5 293.35 293.50 293.44 293.48 293.55 293.60 293.51 293.65 293.51 247.8411 2647 2648 2649 2648 2648 2648 2648 2647 2647.875 3.18 4.46 5.02 5.09 5.14 6.06 3.82 4.681 Vs m S Y 1.108 CO2 (Trial 2) T(K) (cm) (-) (+) X (cm) 34.13 30.8 25.72 20.49 15.61 10.5 5.55 0.52 T (C) 20.4 20.46 20.47 20.51 20.5 20.48 20.55 20.52 293.55 293.61 293.62 293.66 293.65 293.63 293.70 293.67 293.636 254.165 1.165 f (HZ) 2647 2647 2647 2647 2647 2647 2647 2647 2647 5.03 4.95 5.11 4.88 5.23 5.08 3.33 4.801 (+) Vs s Y Fan AaBbceDde My , AaBbCcDdE AaBt Normal No Spacing Head (-) (-) (+) (-) (+) (+) 35.75 30.1 25.4 19.9 15 10.15 4.9 0.3 19.97 19.92 19.9 19.9 19.97 20.02 19.94 20.02 293.12 293.07 293.05 293.05 293.12 293.17 293.09 293.17 293.105 351.247 3468 3469 3468 3468 3467 3468 3468 3467 3467.875 5.65 4.70 5.50 4.9 4.85 5.25 4.6 5.06428571 + + Vs 1.418 N2 (Trial 2) (cm) IN (-) (+) (-) (+) (-) (+) X (cm) 35.20 30.1 25.10 20.20 15.20 10.25 5.30 0.30 T(C) 20.07 20.19 20.16 20.14 20.19 20.18 20.18 T(K) 293.22 293.34 293.31 293.29 293.34 293.33 293.33 293.39 293.319 m 345.804 f(HZ) 3467 3468 3468 3467 3468 3468 3468 3468 3467.75 5.10 5.00 4.9 5.00 4.95 4.95 5.00 20.24 4.986 Vs S y 1.374

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