Convert mole / cup to mole / ounce
Learn how to convert
1
mole / cup to
mole / ounce
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{mole}{cup}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{ounce}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{mole}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{mole}{cup}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{2.365882365 \times 10^{-4}}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{2.365882365 \times 10^{-4}}\left(\dfrac{mol}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{mole}{ounce}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-5}}\left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-5}}\left(\dfrac{mol}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{mole}{cup}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{ounce}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{2.365882365 \times 10^{-4}}} \times {\color{rgb(89,182,91)} \left(\dfrac{mole}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-5}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{mole}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{2.365882365 \times 10^{-4}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{mol}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-5}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{mol}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{2.365882365 \times 10^{-4}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{mol}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{2.365882365 \times 10^{-4}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2.84130625 \times 10^{-5}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{2.365882365 \times {\color{rgb(99,194,222)} \cancel{10^{-4}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{2.84130625 \times {\color{rgb(99,194,222)} \cancelto{10^{-1}}{10^{-5}}}}\)
\(\text{Simplify}\)
\(\dfrac{1.0}{2.365882365} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2.84130625 \times 10^{-1}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2.84130625 \times 10^{-1}} = \dfrac{1.0}{2.365882365}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{2.84130625 \times 10^{-1}}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2.84130625 \times 10^{-1}} \times \dfrac{2.84130625 \times 10^{-1}}{1.0} = \dfrac{1.0}{2.365882365} \times \dfrac{2.84130625 \times 10^{-1}}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{2.84130625}} \times {\color{rgb(166,218,227)} \cancel{10^{-1}}}}{{\color{rgb(99,194,222)} \cancel{2.84130625}} \times {\color{rgb(166,218,227)} \cancel{10^{-1}}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times 2.84130625 \times 10^{-1}}{2.365882365 \times {\color{rgb(255,204,153)} \cancel{1.0}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.84130625 \times 10^{-1}}{2.365882365}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.1200949926\approx1.2009 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{mole}{cup}\right)\approx{\color{rgb(20,165,174)} 1.2009 \times 10^{-1}}\left(\dfrac{mole}{ounce}\right)\)
