Convert mole / liter to mole / cubic mile
Learn how to convert
1
mole / liter to
mole / cubic mile
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{mole}{liter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{cubic \text{ } mile}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{mole}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{mole}{liter}\right) = {\color{rgb(89,182,91)} 10^{3}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} 10^{3}\left(\dfrac{mol}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{mole}{cubic \text{ } mile}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{4168181825.44058}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{4168181825.44058}\left(\dfrac{mol}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{mole}{liter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{cubic \text{ } mile}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \times {\color{rgb(89,182,91)} \left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{4168181825.44058}}} \times {\color{rgb(125,164,120)} \left(\dfrac{mole}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{mol}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{4168181825.44058}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{mol}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{4168181825.44058}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(10^{3} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{4168181825.44058}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{4168181825.44058} = 10^{3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{4168181825.44058}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{4168181825.44058} \times \dfrac{4168181825.44058}{1.0} = 10^{3} \times \dfrac{4168181825.44058}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{4168181825.44058}}}{{\color{rgb(99,194,222)} \cancel{4168181825.44058}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = 10^{3} \times \dfrac{4168181825.44058}{1.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{3} \times 4168181825.44058\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 4.1681818254 \times 10^{12}\approx4.1682 \times 10^{12}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{mole}{liter}\right)\approx{\color{rgb(20,165,174)} 4.1682 \times 10^{12}}\left(\dfrac{mole}{cubic \text{ } mile}\right)\)
