Convert hartree to watt • hour
Learn how to convert
1
hartree to
watt • hour
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(hartree\right)={\color{rgb(20,165,174)} x}\left(watt \times hour\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(joule\right)\)
\(\text{Left side: 1.0 } \left(hartree\right) = {\color{rgb(89,182,91)} 4.359744 \times 10^{-18}\left(joule\right)} = {\color{rgb(89,182,91)} 4.359744 \times 10^{-18}\left(J\right)}\)
\(\text{Right side: 1.0 } \left(watt \times hour\right) = {\color{rgb(125,164,120)} 3.6 \times 10^{3}\left(joule\right)} = {\color{rgb(125,164,120)} 3.6 \times 10^{3}\left(J\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(hartree\right)={\color{rgb(20,165,174)} x}\left(watt \times hour\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4.359744 \times 10^{-18}} \times {\color{rgb(89,182,91)} \left(joule\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.6 \times 10^{3}}} \times {\color{rgb(125,164,120)} \left(joule\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4.359744 \times 10^{-18}} \cdot {\color{rgb(89,182,91)} \left(J\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.6 \times 10^{3}} \cdot {\color{rgb(125,164,120)} \left(J\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4.359744 \times 10^{-18}} \cdot {\color{rgb(89,182,91)} \cancel{\left(J\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.6 \times 10^{3}} \times {\color{rgb(125,164,120)} \cancel{\left(J\right)}}\)
\(\text{Conversion Equation}\)
\(4.359744 \times 10^{-18} = {\color{rgb(20,165,174)} x} \times 3.6 \times 10^{3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.6 \times 10^{3} = 4.359744 \times 10^{-18}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.6 \times 10^{3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.6 \times 10^{3} \times \dfrac{1.0}{3.6 \times 10^{3}} = 4.359744 \times 10^{-18} \times \dfrac{1.0}{3.6 \times 10^{3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.6}} \times {\color{rgb(99,194,222)} \cancel{10^{3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.6}} \times {\color{rgb(99,194,222)} \cancel{10^{3}}}} = 4.359744 \times 10^{-18} \times \dfrac{1.0}{3.6 \times 10^{3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.359744 \times 10^{-18}}{3.6 \times 10^{3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3} \times 4.359744 \times 10^{-18}}{3.6}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-21} \times 4.359744}{3.6}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1.21104 \times 10^{-21}\approx1.211 \times 10^{-21}\)
\(\text{Conversion Equation}\)
\(1.0\left(hartree\right)\approx{\color{rgb(20,165,174)} 1.211 \times 10^{-21}}\left(watt \times hour\right)\)
