What is the speed of an argon atom that has a de Broglie wavelength of 5.2 pm?

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What is the speed of an argon atom that has a de Broglie wavelength of 5.2 pm?

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Answer 1 · 2015-04-04T21:36:06

$v = 1.9 \times 10^{2} m/s$ $v=1.9xx10^2"m/s"$

1 $A r$ $Ar$ atom has a mass of 39.948 amu

1 amu = $1.6605 \times 10^{- 27} kg$ $1.6605xx10^(-27)"kg"$

$λ = \frac{h}{m v}$ $lambda=(h)/(mv)$

$v = \frac{h}{m λ}$ $v=(h)/(mlambda)$

$v = \frac{6.6326 \times 10^{- 34}}{39.958 \times 1.6605 \times 10^{- 27} \times 5.2 \times 10^{- 12}} m/s$ $v=(6.6326xx10^(-34))/(39.958xx1.6605xx10^(-27)xx5.2xx10^(-12))"m/s"$

$v = 1.9229 \times 10^{2} m/s$ $v=1.9229xx10^(2)"m/s"$

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What is the speed of an argon atom that has a de Broglie wavelength of 5.2 pm?

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