Convert cubic yard of atmosphere to cubic foot of natural gas
Learn how to convert
1
cubic yard of atmosphere to
cubic foot of natural gas
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } foot \text{ } of \text{ } natural \text{ } gas\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(joule\right)\)
\(\text{Left side: 1.0 } \left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right) = {\color{rgb(89,182,91)} 77468.5209852288\left(joule\right)} = {\color{rgb(89,182,91)} 77468.5209852288\left(J\right)}\)
\(\text{Right side: 1.0 } \left(cubic \text{ } foot \text{ } of \text{ } natural \text{ } gas\right) = {\color{rgb(125,164,120)} 1055055.85262\left(joule\right)} = {\color{rgb(125,164,120)} 1055055.85262\left(J\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } foot \text{ } of \text{ } natural \text{ } gas\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 77468.5209852288} \times {\color{rgb(89,182,91)} \left(joule\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1055055.85262}} \times {\color{rgb(125,164,120)} \left(joule\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 77468.5209852288} \cdot {\color{rgb(89,182,91)} \left(J\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1055055.85262} \cdot {\color{rgb(125,164,120)} \left(J\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 77468.5209852288} \cdot {\color{rgb(89,182,91)} \cancel{\left(J\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1055055.85262} \times {\color{rgb(125,164,120)} \cancel{\left(J\right)}}\)
\(\text{Conversion Equation}\)
\(77468.5209852288 = {\color{rgb(20,165,174)} x} \times 1055055.85262\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1055055.85262 = 77468.5209852288\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1055055.85262}\right)\)
\({\color{rgb(20,165,174)} x} \times 1055055.85262 \times \dfrac{1.0}{1055055.85262} = 77468.5209852288 \times \dfrac{1.0}{1055055.85262}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1055055.85262}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1055055.85262}}} = 77468.5209852288 \times \dfrac{1.0}{1055055.85262}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{77468.5209852288}{1055055.85262}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0734259905\approx7.3426 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right)\approx{\color{rgb(20,165,174)} 7.3426 \times 10^{-2}}\left(cubic \text{ } foot \text{ } of \text{ } natural \text{ } gas\right)\)
