Express unified atomic mass unit (amu) in kg. | vedclass

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Question

(A) One atomic mass unit $(amu)$ is defined as $\frac{1}{12}$ of the mass of a ${ }_{6} C^{12}$ atom.Mass of one mole of ${ }_{6} C^{12}$ atoms $= 12

Vedclass · Accepted Answer

$1.66 	imes 10^{-27} \ kg$

Vedclass · Answer

(A) One atomic mass unit $(amu)$ is defined as $\frac{1}{12}$ of the mass of a ${ }_{6} C^{12}$ atom.Mass of one mole of ${ }_{6} C^{12}$ atoms $= 12 \ g = 12 	imes 10^{-3} \ kg$.Number of atoms in one mole is given by Avogadro's number,$N_A = 6.022 	imes 10^{23} \ atoms/mol$.Mass of one ${ }_{6} C^{12}$ atom $= \frac{12 	imes 10^{-3} \ kg}{6.022 	imes 10^{23}} \approx 1.9926 	imes 10^{-26} \ kg$.$1 \ amu = \frac{1}{12} 	imes (	ext{mass of one } { }_{6} C^{12} 	ext{ atom})$.$1 \ amu = \frac{1}{12} 	imes \frac{12 	imes 10^{-3} \ kg}{6.022 	imes 10^{23}} = \frac{10^{-3}}{6.022 	imes 10^{23}} \ kg$.$1 \ amu \approx 1.66 	imes 10^{-27} \ kg$.

Express unified atomic mass unit $(amu)$ in $kg$.

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