Convert mole / day to mole / second

Learn how to convert 1 mole / day to mole / second step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(\dfrac{mole}{day}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{second}\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{mole}{second}\right)\)

\(\text{Left side: 1.0 } \left(\dfrac{mole}{day}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{8.64 \times 10^{4}}\left(\dfrac{mole}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{8.64 \times 10^{4}}\left(\dfrac{mol}{s}\right)}\)

\(\text{Right side: 1.0 } \left(\dfrac{mole}{second}\right) = {\color{rgb(125,164,120)} 1.0\left(\dfrac{mole}{second}\right)} = {\color{rgb(125,164,120)} 1.0\left(\dfrac{mol}{s}\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(\dfrac{mole}{day}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{mole}{second}\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{8.64 \times 10^{4}}} \times {\color{rgb(89,182,91)} \left(\dfrac{mole}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(\dfrac{mole}{second}\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{8.64 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{mol}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(\dfrac{mol}{s}\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{8.64 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{mol}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{mol}{s}\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{1.0}{8.64 \times 10^{4}} = {\color{rgb(20,165,174)} x} \times 1.0\)

\(\text{Simplify}\)

\(\dfrac{1.0}{8.64 \times 10^{4}} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{8.64 \times 10^{4}}\)

Rewrite equation

\(\dfrac{1.0}{10^{4}}\text{ can be rewritten to }10^{-4}\)

\(\text{Rewrite}\)

\({\color{rgb(20,165,174)} x} = \dfrac{10^{-4}}{8.64}\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x}\approx0.0000115741\approx1.1574 \times 10^{-5}\)