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空气密度测定实验数据处理

实验前 实验中 实验后
干温 17 17.7 17.9
相对湿度 30.00% 28.50% 27.3%
气压 1032.0hPa 1036.8hPa 1033.8hPa
体积 161.458立方厘米
实验次数 1 2 3 4
所用天平 电子天平 阻尼分析天平
质量 M0(g) 91.6289 91.6279 91.6293 91.62452
M1(g) 91.8196 91.8225 91.8200 91.81715
ΔM(g) 0.1907 0.1946 0.1907 0.19263
\(\overline{\Delta M}\)(g) 0.1920 0.19263
\[温度的修正:p = \frac{p^{'}}{1 + (\gamma - \beta)t} = p'\lbrack 1 - (\gamma - \beta)t\rbrack = p'(1 - 0.000164t)\]
\[重力加速度的修正:p = p \ast \frac{g_{杭}}{g_{0}}\]

$$所以:{p = p}{示} \ast \frac{g}{g_{0}}(1 - 0.000163t) = 1034.2 \ast \frac{9.793}{9.80665} \ast (1 - 0.000163 \ast 17.5) $$\(= 1029.8\)hPa

\[\rho = \frac{\overline{\Delta M}}{V} = \frac{0.1920\ ||\ 0.19263}{161.458} = 1.189kg/m^{3}\ ||\ 1.193kg/m^{3}\]
\[\rho_{0干} = \rho\frac{p_{0}}{p}(1 + at)(1 + \frac{3p_{w}}{8p}) = 1.189\ ||\ 1.193 \ast \frac{1013.25hPa}{1029.8hPa} \ast (1 + \frac{17.35}{273.15}) \ast (1 + \frac{3 \ast 29.25\% \ast 1.98690hPa}{8 \ast 1030.0hPa}) = 1.244kg/m^{3}\ ||\ 1.248kg/m^{3}\]
\[R = \frac{p_{0}M_{A}}{T_{0}\rho_{0干}} = \frac{101325Pa \ast 28.98 \ast 10^{- 3}kg}{273.15K \ast 1.244kg/m^{3}\ ||\ 1.248kg/m^{3}} = 8.642g/mol \cdot K\ ||\ 8.613g/mol \cdot K\]