Convert ton of tnt to thermie
Learn how to convert
1
ton of tnt to
thermie
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ton \text{ } of \text{ } tnt\right)={\color{rgb(20,165,174)} x}\left(thermie\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(joule\right)\)
\(\text{Left side: 1.0 } \left(ton \text{ } of \text{ } tnt\right) = {\color{rgb(89,182,91)} 4.184 \times 10^{9}\left(joule\right)} = {\color{rgb(89,182,91)} 4.184 \times 10^{9}\left(J\right)}\)
\(\text{Right side: 1.0 } \left(thermie\right) = {\color{rgb(125,164,120)} 4.1868 \times 10^{6}\left(joule\right)} = {\color{rgb(125,164,120)} 4.1868 \times 10^{6}\left(J\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ton \text{ } of \text{ } tnt\right)={\color{rgb(20,165,174)} x}\left(thermie\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4.184 \times 10^{9}} \times {\color{rgb(89,182,91)} \left(joule\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.1868 \times 10^{6}}} \times {\color{rgb(125,164,120)} \left(joule\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4.184 \times 10^{9}} \cdot {\color{rgb(89,182,91)} \left(J\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.1868 \times 10^{6}} \cdot {\color{rgb(125,164,120)} \left(J\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4.184 \times 10^{9}} \cdot {\color{rgb(89,182,91)} \cancel{\left(J\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.1868 \times 10^{6}} \times {\color{rgb(125,164,120)} \cancel{\left(J\right)}}\)
\(\text{Conversion Equation}\)
\(4.184 \times 10^{9} = {\color{rgb(20,165,174)} x} \times 4.1868 \times 10^{6}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(4.184 \times {\color{rgb(255,204,153)} \cancelto{10^{3}}{10^{9}}} = {\color{rgb(20,165,174)} x} \times 4.1868 \times {\color{rgb(255,204,153)} \cancel{10^{6}}}\)
\(\text{Simplify}\)
\(4.184 \times 10^{3} = {\color{rgb(20,165,174)} x} \times 4.1868\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.1868 = 4.184 \times 10^{3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.1868}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.1868 \times \dfrac{1.0}{4.1868} = 4.184 \times 10^{3} \times \dfrac{1.0}{4.1868}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.1868}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.1868}}} = 4.184 \times 10^{3} \times \dfrac{1.0}{4.1868}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.184 \times 10^{3}}{4.1868}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx999.33123149\approx9.9933 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(ton \text{ } of \text{ } tnt\right)\approx{\color{rgb(20,165,174)} 9.9933 \times 10^{2}}\left(thermie\right)\)
