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