Convert pound / barrel to pound / gallon
Learn how to convert
1
pound / barrel to
pound / gallon
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{pound}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{gallon}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{pound}{barrel}\right) = {\color{rgb(89,182,91)} \dfrac{4.5359237}{1.6365924}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{4.5359237}{1.6365924}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{pound}{gallon}\right) = {\color{rgb(125,164,120)} \dfrac{453.59237}{3.785411784}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{453.59237}{3.785411784}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{pound}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{gallon}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.5359237}{1.6365924}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{453.59237}{3.785411784}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4.5359237}{1.6365924}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{453.59237}{3.785411784}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.5359237}{1.6365924}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{453.59237}{3.785411784}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{4.5359237}{1.6365924} = {\color{rgb(20,165,174)} x} \times \dfrac{453.59237}{3.785411784}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{453.59237}{3.785411784} = \dfrac{4.5359237}{1.6365924}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{3.785411784}{453.59237}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{453.59237}{3.785411784} \times \dfrac{3.785411784}{453.59237} = \dfrac{4.5359237}{1.6365924} \times \dfrac{3.785411784}{453.59237}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{453.59237}} \times {\color{rgb(99,194,222)} \cancel{3.785411784}}}{{\color{rgb(99,194,222)} \cancel{3.785411784}} \times {\color{rgb(255,204,153)} \cancel{453.59237}}} = \dfrac{4.5359237 \times 3.785411784}{1.6365924 \times 453.59237}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.5359237 \times 3.785411784}{1.6365924 \times 453.59237}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0231298385\approx2.313 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{pound}{barrel}\right)\approx{\color{rgb(20,165,174)} 2.313 \times 10^{-2}}\left(\dfrac{pound}{gallon}\right)\)
