Convert mole / week to mole / minute
Learn how to convert
1
mole / week to
mole / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{mole}{week}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{mole}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{mole}{week}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{6.048 \times 10^{5}}\left(\dfrac{mole}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{6.048 \times 10^{5}}\left(\dfrac{mol}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{mole}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}\left(\dfrac{mole}{second}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}\left(\dfrac{mol}{s}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{mole}{week}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{6.048 \times 10^{5}}} \times {\color{rgb(89,182,91)} \left(\dfrac{mole}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}}} \times {\color{rgb(125,164,120)} \left(\dfrac{mole}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{6.048 \times 10^{5}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{mol}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{mol}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{6.048 \times 10^{5}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{mol}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{mol}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{6.048 \times 10^{5}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{60.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{6.048 \times 10^{5}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{60.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{60.0} = \dfrac{1.0}{6.048 \times 10^{5}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{60.0}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{60.0} \times \dfrac{60.0}{1.0} = \dfrac{1.0}{6.048 \times 10^{5}} \times \dfrac{60.0}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{60.0}}}{{\color{rgb(99,194,222)} \cancel{60.0}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times 60.0}{6.048 \times 10^{5} \times {\color{rgb(255,204,153)} \cancel{1.0}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{60.0}{6.048 \times 10^{5}}\)
Rewrite equation
\(\dfrac{1.0}{10^{5}}\text{ can be rewritten to }10^{-5}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-5} \times 60.0}{6.048}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000992063\approx9.9206 \times 10^{-5}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{mole}{week}\right)\approx{\color{rgb(20,165,174)} 9.9206 \times 10^{-5}}\left(\dfrac{mole}{minute}\right)\)
