Convert BTU / liter to BTU / cubic foot
Learn how to convert
1
BTU / liter to
BTU / cubic foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{BTU}{liter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{BTU}{cubic \text{ } foot}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{joule}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{BTU}{liter}\right) = {\color{rgb(89,182,91)} 1.0545 \times 10^{6}\left(\dfrac{joule}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} 1.0545 \times 10^{6}\left(\dfrac{J}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{BTU}{cubic \text{ } foot}\right) = {\color{rgb(125,164,120)} \dfrac{1054.5}{2.8316846592 \times 10^{-2}}\left(\dfrac{joule}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1054.5}{2.8316846592 \times 10^{-2}}\left(\dfrac{J}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{BTU}{liter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{BTU}{cubic \text{ } foot}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0545 \times 10^{6}} \times {\color{rgb(89,182,91)} \left(\dfrac{joule}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1054.5}{2.8316846592 \times 10^{-2}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{joule}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0545 \times 10^{6}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{J}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1054.5}{2.8316846592 \times 10^{-2}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{J}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0545 \times 10^{6}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{J}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1054.5}{2.8316846592 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{J}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(1.0545 \times 10^{6} = {\color{rgb(20,165,174)} x} \times \dfrac{1054.5}{2.8316846592 \times 10^{-2}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1054.5}{2.8316846592 \times 10^{-2}} = 1.0545 \times 10^{6}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{2.8316846592 \times 10^{-2}}{1054.5}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1054.5}{2.8316846592 \times 10^{-2}} \times \dfrac{2.8316846592 \times 10^{-2}}{1054.5} = 1.0545 \times 10^{6} \times \dfrac{2.8316846592 \times 10^{-2}}{1054.5}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1054.5}} \times {\color{rgb(99,194,222)} \cancel{2.8316846592}} \times {\color{rgb(166,218,227)} \cancel{10^{-2}}}}{{\color{rgb(99,194,222)} \cancel{2.8316846592}} \times {\color{rgb(166,218,227)} \cancel{10^{-2}}} \times {\color{rgb(255,204,153)} \cancel{1054.5}}} = 1.0545 \times {\color{rgb(255,204,153)} \cancelto{10^{4}}{10^{6}}} \times \dfrac{2.8316846592 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}}}{1054.5}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0545 \times 10^{4} \times 2.8316846592}{1054.5}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx28.316846592\approx28.3168\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{BTU}{liter}\right)\approx{\color{rgb(20,165,174)} 28.3168}\left(\dfrac{BTU}{cubic \text{ } foot}\right)\)
