Convert mole / barrel to mole / (acre • inch)
Learn how to convert
1
mole / barrel to
mole / (acre • inch)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{mole}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{acre \times inch}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{mole}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{mole}{barrel}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{0.115628198985075}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{0.115628198985075}\left(\dfrac{mol}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{mole}{acre \times inch}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}\left(\dfrac{mol}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{mole}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{acre \times inch}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{0.115628198985075}} \times {\color{rgb(89,182,91)} \left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}}} \times {\color{rgb(125,164,120)} \left(\dfrac{mole}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{0.115628198985075}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{mol}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{mol}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{0.115628198985075}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{102.79015312896}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{0.115628198985075} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{102.79015312896}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{0.115628198985075} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{102.79015312896}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{102.79015312896} = \dfrac{1.0}{0.115628198985075}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{102.79015312896}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{102.79015312896} \times \dfrac{102.79015312896}{1.0} = \dfrac{1.0}{0.115628198985075} \times \dfrac{102.79015312896}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{102.79015312896}}}{{\color{rgb(99,194,222)} \cancel{102.79015312896}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times 102.79015312896}{0.115628198985075 \times {\color{rgb(255,204,153)} \cancel{1.0}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{102.79015312896}{0.115628198985075}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx888.97132387\approx8.8897 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{mole}{barrel}\right)\approx{\color{rgb(20,165,174)} 8.8897 \times 10^{2}}\left(\dfrac{mole}{acre \times inch}\right)\)
