簡約 (8.314310)/(196485)ln((5.3)/(140))

解

簡約

\frac{8.314 \cdot 310}{1 \cdot 96485} ln (\frac{5.3}{140})

\frac{2577.34}{96485} (ln (5.3) - ln (140))

十進法表記

- 0.08745 \dots

解答ステップ

\frac{8.314 \cdot 310}{1 \cdot 96485} ln (\frac{5.3}{140})

対数の規則を適用する:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{5.3}{140}) = ln (5.3) - ln (140)

= \frac{310 \cdot 8.314}{1 \cdot 96485} (ln (5.3) - ln (140))

\frac{8.314 \cdot 310}{1 \cdot 96485} = \frac{2577.34}{96485}

= \frac{2577.34}{96485} (ln (5.3) - ln (140))