Convert poncelet to BTU / minute
Learn how to convert
1
poncelet to
BTU / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(poncelet\right)={\color{rgb(20,165,174)} x}\left(\dfrac{BTU}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(poncelet\right) = {\color{rgb(89,182,91)} 980.665\left(watt\right)} = {\color{rgb(89,182,91)} 980.665\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{BTU}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{1055.05585262}{60.0}\left(watt\right)} = {\color{rgb(125,164,120)} \dfrac{1055.05585262}{60.0}\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(poncelet\right)={\color{rgb(20,165,174)} x}\left(\dfrac{BTU}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 980.665} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1055.05585262}{60.0}}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 980.665} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1055.05585262}{60.0}} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 980.665} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1055.05585262}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(980.665 = {\color{rgb(20,165,174)} x} \times \dfrac{1055.05585262}{60.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1055.05585262}{60.0} = 980.665\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{60.0}{1055.05585262}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1055.05585262}{60.0} \times \dfrac{60.0}{1055.05585262} = 980.665 \times \dfrac{60.0}{1055.05585262}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1055.05585262}} \times {\color{rgb(99,194,222)} \cancel{60.0}}}{{\color{rgb(99,194,222)} \cancel{60.0}} \times {\color{rgb(255,204,153)} \cancel{1055.05585262}}} = 980.665 \times \dfrac{60.0}{1055.05585262}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{980.665 \times 60.0}{1055.05585262}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx55.769464578\approx55.7695\)
\(\text{Conversion Equation}\)
\(1.0\left(poncelet\right)\approx{\color{rgb(20,165,174)} 55.7695}\left(\dfrac{BTU}{minute}\right)\)
