Convert watt • second to thermie
Learn how to convert
1
watt • second to
thermie
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(watt \times second\right)={\color{rgb(20,165,174)} x}\left(thermie\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(joule\right)\)
\(\text{Left side: 1.0 } \left(watt \times second\right) = {\color{rgb(89,182,91)} 1.0\left(joule\right)} = {\color{rgb(89,182,91)} 1.0\left(J\right)}\)
\(\text{Right side: 1.0 } \left(thermie\right) = {\color{rgb(125,164,120)} 4.1868 \times 10^{6}\left(joule\right)} = {\color{rgb(125,164,120)} 4.1868 \times 10^{6}\left(J\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(watt \times second\right)={\color{rgb(20,165,174)} x}\left(thermie\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(joule\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.1868 \times 10^{6}}} \times {\color{rgb(125,164,120)} \left(joule\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(J\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.1868 \times 10^{6}} \cdot {\color{rgb(125,164,120)} \left(J\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(J\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.1868 \times 10^{6}} \times {\color{rgb(125,164,120)} \cancel{\left(J\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 4.1868 \times 10^{6}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 4.1868 \times 10^{6}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.1868 \times 10^{6} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.1868 \times 10^{6}}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.1868 \times 10^{6} \times \dfrac{1.0}{4.1868 \times 10^{6}} = 1.0 \times \dfrac{1.0}{4.1868 \times 10^{6}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.1868}} \times {\color{rgb(99,194,222)} \cancel{10^{6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.1868}} \times {\color{rgb(99,194,222)} \cancel{10^{6}}}} = 1.0 \times \dfrac{1.0}{4.1868 \times 10^{6}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{4.1868 \times 10^{6}}\)
Rewrite equation
\(\dfrac{1.0}{10^{6}}\text{ can be rewritten to }10^{-6}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-6}}{4.1868}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000002388\approx2.3885 \times 10^{-7}\)
\(\text{Conversion Equation}\)
\(1.0\left(watt \times second\right)\approx{\color{rgb(20,165,174)} 2.3885 \times 10^{-7}}\left(thermie\right)\)
