Convert dalton to dram
Learn how to convert
1
dalton to
dram
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(dalton\right)={\color{rgb(20,165,174)} x}\left(dram\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(dalton\right) = {\color{rgb(89,182,91)} 1.6605390666 \times 10^{-27}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 1.6605390666 \times 10^{-27}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(dram\right) = {\color{rgb(125,164,120)} 3.41 \times 10^{-3}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 3.41 \times 10^{-3}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(dalton\right)={\color{rgb(20,165,174)} x}\left(dram\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.6605390666 \times 10^{-27}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.41 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.6605390666 \times 10^{-27}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.41 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.6605390666 \times 10^{-27}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.41 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(1.6605390666 \times 10^{-27} = {\color{rgb(20,165,174)} x} \times 3.41 \times 10^{-3}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(1.6605390666 \times {\color{rgb(255,204,153)} \cancelto{10^{-24}}{10^{-27}}} = {\color{rgb(20,165,174)} x} \times 3.41 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}\)
\(\text{Simplify}\)
\(1.6605390666 \times 10^{-24} = {\color{rgb(20,165,174)} x} \times 3.41\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.41 = 1.6605390666 \times 10^{-24}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.41}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.41 \times \dfrac{1.0}{3.41} = 1.6605390666 \times 10^{-24} \times \dfrac{1.0}{3.41}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.41}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.41}}} = 1.6605390666 \times 10^{-24} \times \dfrac{1.0}{3.41}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.6605390666 \times 10^{-24}}{3.41}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx4.8696160311 \times 10^{-25}\approx4.8696 \times 10^{-25}\)
\(\text{Conversion Equation}\)
\(1.0\left(dalton\right)\approx{\color{rgb(20,165,174)} 4.8696 \times 10^{-25}}\left(dram\right)\)
