簡約 1.56-(8.314298.15)/(296485)*ln(1/(0.5))

解

簡約

1.56 - \frac{8.314 \cdot 298.15}{2 \cdot 96485} \cdot ln (\frac{1}{0.5})

1.56 + \frac{2478.8191}{192970} ln (0.5)

十進法表記

1.55109 \dots

解答ステップ

1.56 - \frac{8.314 \cdot 298.15}{2 \cdot 96485} ln (\frac{1}{0.5})

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{1}{0.5}) = ln (1) - ln (0.5)

= 1.56 - \frac{8.314 \cdot 298.15}{2 \cdot 96485} (ln (1) - ln (0.5))

\frac{8.314 \cdot 298.15}{2 \cdot 96485} (ln (1) - ln (0.5)) = - \frac{2478.8191}{192970} ln (0.5)

= 1.56 - (- \frac{2478.8191}{192970} ln (0.5))

規則を適用

- (- a) = a

= 1.56 + \frac{2478.8191}{192970} ln (0.5)