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$a Find the mass of an ion of (}_{6)^12C^+ in kg. Give your answer to the appropriate number of significant figures . The Avogadro number , L,is 6.022times 10^23mol^-1$

a Find the mass of an ion of (}_{6)^12C^+ in kg. Give your answer to the appropriate number of significant figures . The Avogadro number , L,is 6.022times 10^23mol^-1

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ThomasMaster · Tutor for 5 years

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<p> $1.993646346604464\times10^{-26} \mathrm{kg}$</p>

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<p> To find the mass (m) of an ion of $_{6}^{12}\mathrm{C}^{+}$, the weight in atomic mass unit (amu) will have to be converted to kilograms (kg). The carbon ion ($_{6}^{12}\mathrm{C}^{+}$) is represented as $_{6}^{12}$ which indicates that the atomic mass of the this carbon ion is 12 amu. By definition, one amu is one-twelfth (1/12th) of the mass of a Carbon-12 atom ($_{6}^{12}\mathrm{C}$). Moreover, one Carbon-12 atom has a mass of approximately $\frac{1}{6.022 \times 10^{23}}$ grams, since there are $6.022 \times 10^{23}$ atoms (which equals Avogadro's number $L$) in one mole. This gives us $1.66053906660 \times 10^{-24}$ grams. We also need to convert from grams to kilograms as the standard metric unit for mass is kg as norated in the international system (SI) of units. To convert, we need to know that 1 gram is $1 \times 10^{-3}$ Kg.</p>

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a Find the mass of an ion of (}_{6)^12C^+ in kg. Give your answer to the appropriate number of significant figures . The Avogadro number , L,is 6.022times 10^23mol^-1

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