Convert celsius heat unit to cubic yard of atmosphere
Learn how to convert
1
celsius heat unit to
cubic yard of atmosphere
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(celsius \text{ } heat \text{ } unit\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(joule\right)\)
\(\text{Left side: 1.0 } \left(celsius \text{ } heat \text{ } unit\right) = {\color{rgb(89,182,91)} 1899.100534716\left(joule\right)} = {\color{rgb(89,182,91)} 1899.100534716\left(J\right)}\)
\(\text{Right side: 1.0 } \left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right) = {\color{rgb(125,164,120)} 77468.5209852288\left(joule\right)} = {\color{rgb(125,164,120)} 77468.5209852288\left(J\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(celsius \text{ } heat \text{ } unit\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1899.100534716} \times {\color{rgb(89,182,91)} \left(joule\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 77468.5209852288}} \times {\color{rgb(125,164,120)} \left(joule\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1899.100534716} \cdot {\color{rgb(89,182,91)} \left(J\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 77468.5209852288} \cdot {\color{rgb(125,164,120)} \left(J\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1899.100534716} \cdot {\color{rgb(89,182,91)} \cancel{\left(J\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 77468.5209852288} \times {\color{rgb(125,164,120)} \cancel{\left(J\right)}}\)
\(\text{Conversion Equation}\)
\(1899.100534716 = {\color{rgb(20,165,174)} x} \times 77468.5209852288\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 77468.5209852288 = 1899.100534716\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{77468.5209852288}\right)\)
\({\color{rgb(20,165,174)} x} \times 77468.5209852288 \times \dfrac{1.0}{77468.5209852288} = 1899.100534716 \times \dfrac{1.0}{77468.5209852288}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{77468.5209852288}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{77468.5209852288}}} = 1899.100534716 \times \dfrac{1.0}{77468.5209852288}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1899.100534716}{77468.5209852288}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0245144803\approx2.4514 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(celsius \text{ } heat \text{ } unit\right)\approx{\color{rgb(20,165,174)} 2.4514 \times 10^{-2}}\left(cubic \text{ } yard \text{ } of \text{ } atmosphere\right)\)
