化简-((8.314*298)}{96485}ln(\frac{0.002)/4)

解答

化简

- \frac{( 8.314 \cdot 298 )}{96485} ln (\frac{0.002}{4})

- \frac{2477.572}{96485} (ln (0.002) - 2 ln (2))

十进制

0.19517 \dots

求解步骤

- \frac{( 8.314 \cdot 298 )}{96485} ln (\frac{0.002}{4})

使用对数计算法则:

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

ln (\frac{0.002}{4}) = ln (0.002) - ln (4)

= - \frac{( 298 \cdot 8.314 )}{96485} (ln (0.002) - ln (4))

去除括号:

(a) = a

= - \frac{8.314 \cdot 298}{96485} (ln (0.002) - ln (4))

去除括号:

(a) = a

= - \frac{8.314 \cdot 298}{96485} (ln (0.002) - ln (4))

数字相乘:

8.314 \cdot 298 = 2477.572

= - \frac{2477.572}{96485} (ln (0.002) - ln (4))

ln (4) = 2 ln (2)

= - \frac{2477.572}{96485} (ln (0.002) - 2 ln (2))

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