Convert juchart to barn
Learn how to convert
1
juchart to
barn
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(juchart\right)={\color{rgb(20,165,174)} x}\left(barn\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(juchart\right) = {\color{rgb(89,182,91)} 3096.0\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 3096.0\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(barn\right) = {\color{rgb(125,164,120)} 10^{-28}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{-28}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(juchart\right)={\color{rgb(20,165,174)} x}\left(barn\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3096.0} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-28}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3096.0} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-28}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3096.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-28}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(3096.0 = {\color{rgb(20,165,174)} x} \times 10^{-28}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-28} = 3096.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-28}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-28} \times \dfrac{1.0}{10^{-28}} = 3096.0 \times \dfrac{1.0}{10^{-28}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-28}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-28}}}} = 3096.0 \times \dfrac{1.0}{10^{-28}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3096.0}{10^{-28}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-28}}\text{ can be rewritten to }10^{28}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{28} \times 3096.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 3.096 \times 10^{31}\)
\(\text{Conversion Equation}\)
\(1.0\left(juchart\right) = {\color{rgb(20,165,174)} 3.096 \times 10^{31}}\left(barn\right)\)
