# Convert mole / cubic mile to mole / (acre • inch)

Learn how to convert 1 mole / cubic mile to mole / (acre • inch) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{mole}{cubic \text{ } mile}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{acre \times inch}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{mole}{cubic \text{ } meter}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{mole}{cubic \text{ } mile}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{4168181825.44058}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{4168181825.44058}\left(\dfrac{mol}{m^{3}}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{mole}{acre \times inch}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}\left(\dfrac{mol}{m^{3}}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{mole}{cubic \text{ } mile}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{acre \times inch}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{4168181825.44058}} \times {\color{rgb(89,182,91)} \left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}}} \times {\color{rgb(125,164,120)} \left(\dfrac{mole}{cubic \text{ } meter}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{4168181825.44058}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{mol}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{mol}{m^{3}}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{4168181825.44058}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{1.0}{4168181825.44058} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{102.79015312896}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$$\dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{4168181825.44058} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{102.79015312896}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{1.0}{102.79015312896} = \dfrac{1.0}{4168181825.44058}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{102.79015312896}{1.0}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{1.0}{102.79015312896} \times \dfrac{102.79015312896}{1.0} = \dfrac{1.0}{4168181825.44058} \times \dfrac{102.79015312896}{1.0}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{102.79015312896}}}{{\color{rgb(99,194,222)} \cancel{102.79015312896}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times 102.79015312896}{4168181825.44058 \times {\color{rgb(255,204,153)} \cancel{1.0}}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{102.79015312896}{4168181825.44058}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0000000247\approx2.4661 \times 10^{-8}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{mole}{cubic \text{ } mile}\right)\approx{\color{rgb(20,165,174)} 2.4661 \times 10^{-8}}\left(\dfrac{mole}{acre \times inch}\right)$$