Convert assay ton to dalton

Learn how to convert 1 assay ton to dalton step by step.

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (d a l t o n)

Define the base values of the selected units in relation to the SI unit

(k i l o g r a m)

Left side: 1.0 (a s s a y t o n) = \frac{7.0}{2.4 \times 10^{2}} (k i l o g r a m) = \frac{7.0}{2.4 \times 10^{2}} (k g)

Right side: 1.0 (d a l t o n) = 1.6605390666 \times 10^{- 27} (k i l o g r a m) = 1.6605390666 \times 10^{- 27} (k g)

Insert known values into the conversion equation to determine

x

1.0 (a s s a y t o n) = x (d a l t o n)

Insert known values =>

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \times (k i l o g r a m) = x \times 1.6605390666 \times 10^{- 27} \times (k i l o g r a m)

Or

1.0 \cdot \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \cdot 1.6605390666 \times 10^{- 27} \cdot (k g)

Cancel SI units

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \times 1.6605390666 \times 10^{- 27} \times (k g)

Conversion Equation

\frac{7.0}{2.4 \times 10^{2}} = x \times 1.6605390666 \times 10^{- 27}

Switch sides

x \times 1.6605390666 \times 10^{- 27} = \frac{7.0}{2.4 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6605390666 \times 10^{- 27}})

x \times 1.6605390666 \times 10^{- 27} \times \frac{1.0}{1.6605390666 \times 10^{- 27}} = \frac{7.0}{2.4 \times 10^{2}} \times \frac{1.0}{1.6605390666 \times 10^{- 27}}

Cancel

x \times 1.6605390666 \times 10^{- 27} \times \frac{1.0}{1.6605390666 \times 10^{- 27}} = \frac{7.0 \times 1.0}{2.4 \times 10^{2} \times 1.6605390666 \times {10^{- 27}}^{10^{- 25}}}

Simplify

x = \frac{7.0}{2.4 \times 1.6605390666 \times 10^{- 25}}

Rewrite equation

\frac{1.0}{10^{- 25}} can be rewritten to 10^{25}

Rewrite

x = \frac{10^{25} \times 7.0}{2.4 \times 1.6605390666}

Solve

x

x \approx 1.7564577223 \times 10^{25} \approx 1.7565 \times 10^{25}

Conversion Equation

1.0 (a s s a y t o n) \approx 1.7565 \times 10^{25} (d a l t o n)

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