Convert BTU to coulomb • ampere
Learn how to convert
1
BTU to
coulomb • ampere
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(BTU\right)={\color{rgb(20,165,174)} x}\left(coulomb \times ampere\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(joule\right)\)
\(\text{Left side: 1.0 } \left(BTU\right) = {\color{rgb(89,182,91)} 1055.87\left(joule\right)} = {\color{rgb(89,182,91)} 1055.87\left(J\right)}\)
\(\text{Right side: 1.0 } \left(coulomb \times ampere\right) = {\color{rgb(125,164,120)} 1.3558179483314\left(joule\right)} = {\color{rgb(125,164,120)} 1.3558179483314\left(J\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(BTU\right)={\color{rgb(20,165,174)} x}\left(coulomb \times ampere\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1055.87} \times {\color{rgb(89,182,91)} \left(joule\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.3558179483314}} \times {\color{rgb(125,164,120)} \left(joule\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1055.87} \cdot {\color{rgb(89,182,91)} \left(J\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.3558179483314} \cdot {\color{rgb(125,164,120)} \left(J\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1055.87} \cdot {\color{rgb(89,182,91)} \cancel{\left(J\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.3558179483314} \times {\color{rgb(125,164,120)} \cancel{\left(J\right)}}\)
\(\text{Conversion Equation}\)
\(1055.87 = {\color{rgb(20,165,174)} x} \times 1.3558179483314\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.3558179483314 = 1055.87\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.3558179483314}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.3558179483314 \times \dfrac{1.0}{1.3558179483314} = 1055.87 \times \dfrac{1.0}{1.3558179483314}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.3558179483314}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.3558179483314}}} = 1055.87 \times \dfrac{1.0}{1.3558179483314}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1055.87}{1.3558179483314}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx778.76974656\approx7.7877 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(BTU\right)\approx{\color{rgb(20,165,174)} 7.7877 \times 10^{2}}\left(coulomb \times ampere\right)\)
