molec/ų 에서 molec/cm³ 변환기 - 세제곱옹스트롬 당 분자 수 에서 세제곱센티미터 당 분자 수

Conversion derivation

Express both molec/ų and molec/cm³ in the same base unit mol/L (molar), then cancel the shared base unit.

1. 1

   Rewrite molec/ų in the base unit

   $$1molec/{\mathring{\mathrm{A}}}^3=1.66053907\times 10^{-51}mol/L$$
2. 2

   Rewrite molec/cm³ in the base unit

   $$1molec/c{\mathrm{m}}^3=1.66053907\times 10^{-27}mol/L$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1molec/{\mathring{\mathrm{A}}}^3& =\frac{1.66053907\times 10^{-51}\cancel{mol/L}}{1.66053907\times 10^{-27}\cancel{mol/L}}\times 1molec/c{\mathrm{m}}^3\\ & =\frac{1.66053907\times 10^{-51}}{1.66053907\times 10^{-27}}molec/c{\mathrm{m}}^3\\ & =1\times 10^{-24}molec/c{\mathrm{m}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1molec/c{\mathrm{m}}^3& =\frac{1.66053907\times 10^{-27}\cancel{mol/L}}{1.66053907\times 10^{-51}\cancel{mol/L}}\times 1molec/{\mathring{\mathrm{A}}}^3\\ & =\frac{1.66053907\times 10^{-27}}{1.66053907\times 10^{-51}}molec/{\mathring{\mathrm{A}}}^3\\ & =1\times 10^{24}molec/{\mathring{\mathrm{A}}}^3\end{array}$$