< p >让我们做这个准确的方程。我们知道如何计算温度的饱和水蒸气压力<跨类= " math-container " > $ T $ < / span >: < / p > < p > <跨类= " math-container " > $ $ e_s (T) = e_ {s0} e ^{\压裂{h_i} {R_w}(\压裂{1}{T_ {s0}}识别- \压裂{1}{T})} = 610 \文本{Pa} \乘以e ^{5423(\压裂{1}{273 \文本{K}} - \压裂{1}{T})} $ $ < / span > < / p > < p > <跨类= " math-container " > e_s < / span >是美元饱和水蒸气压力的函数< span class = " math-container " > T < / span >美元在帕斯卡< br / > <跨类= " math-container " > T < / span >美元是开尔文温度< / p > < p >所以,饱和水蒸气压力<跨类= " math-container " > T = 0°C = 273 K美元< / span > = < span class = " math-container " >美元e_s Pa 610 (273 K) = < / span >。同样,< span class = " math-container " >美元e_s pa 2360 (293 k) = < / span >和<跨类= " math-container " >美元e_s pa 1230 (283 k) = < / span >。< / p > < p >所以我们有两个包裹空气:1。20°C, 40%和2。0°C, 40%。什么是水蒸气的质量在两个包裹吗?< span class = " math-container " > $ $ e = f \ * e_s (T) $ $ < / span > <跨类= " math-container " > f < / span >是美元相对湿度,< span class = " math-container " > e < / span >是美元水蒸气压力< / p > < p > <跨类= " math-container " > $ $ m (T) = \压裂{电动车}{R_w T} = \压裂{f \ * e_s V (T) \ *} {R_w \ * T} = \压裂{fe_s V (T)}{461 \压裂{J}{公斤}T} $ $ < / span > < / p > < p > <跨类= " math-container " > $ $ m (293 k) = 0.0070公斤$ $ < / span > <跨类= " math-container " > $ $ m (273 k) = 0.0019公斤$ $ < / span > < / p > < p >下一步是把这两个质量:< / p > < p > <跨类= " math-container " > $ $ m = m (293 k) + m (273 k) = 0.0089公斤$ $ < / span > < / p > < p >密度是<跨类= " math-container " > $ \ρ= \压裂{m} {V} = 0.0045 \压裂{公斤}{m ^ 3} $ < / span > < / p > < p >的水蒸汽压力:< span class = " math-container " > $ $ e = \ρRT = 587 pa $ $ < / span >相对湿度:< span class = " math-container " > $ $ f = \压裂{e} {e_s (283 k)} = 0.477 $ $ < / span > < / p > < p >这是大约48%的相对湿度。< / p > < p >为什么我把这里这么多方程?简单!这些方程保持高度的准确性,所以他们不能是错误的。为什么相对湿度下降的现实呢?
Also, for Skew-T Log-P lovers: This solution is even more concise and less error prone.