1 million atom of silver weight 1.79*10^(-16) g .calculate the atomic mass of silver
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hey here is your answer
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![mole = \frac{no. \: of \: atoms}{avogadro \: no.(6.022 \times {10}^{23} )} mole = \frac{no. \: of \: atoms}{avogadro \: no.(6.022 \times {10}^{23} )}](https://tex.z-dn.net/?f=mole+%3D+%5Cfrac%7Bno.+%5C%3A+of+%5C%3A+atoms%7D%7Bavogadro+%5C%3A+no.%286.022+%5Ctimes+%7B10%7D%5E%7B23%7D+%29%7D+)
given no. of silver atoms = 1 million = 10^6
![now. \\ mole = \frac{ {10}^{6} }{6.022 \times {10}^{23} } now. \\ mole = \frac{ {10}^{6} }{6.022 \times {10}^{23} }](https://tex.z-dn.net/?f=now.+%5C%5C+mole+%3D+%5Cfrac%7B+%7B10%7D%5E%7B6%7D+%7D%7B6.022+%5Ctimes+%7B10%7D%5E%7B23%7D+%7D+)
we also know that
![mole = \frac{given \: mass \: of \: element}{atomic \: mass \: of \: element} \\ \\let \: the \: atomic \: mass \: of \: silver \: be \: x \\ \\ \frac{ {10}^{6} }{6.022 \times {10}^{23} } = \frac{1.79 \times {10}^{ - 16} }{x} \\ \\ x = \frac{1.79 \times {10}^{ - 16} \times 6.022 \times {10}^{23} }{ {10}^{6} } \\ \\ x = 1.79 \times 6.022 \times {10}^{ - 16 + 23 - 6} \\ \\ x = 10.77938 \times {10}^{1} \\ \\ x = 107.7938 \: gram mole = \frac{given \: mass \: of \: element}{atomic \: mass \: of \: element} \\ \\let \: the \: atomic \: mass \: of \: silver \: be \: x \\ \\ \frac{ {10}^{6} }{6.022 \times {10}^{23} } = \frac{1.79 \times {10}^{ - 16} }{x} \\ \\ x = \frac{1.79 \times {10}^{ - 16} \times 6.022 \times {10}^{23} }{ {10}^{6} } \\ \\ x = 1.79 \times 6.022 \times {10}^{ - 16 + 23 - 6} \\ \\ x = 10.77938 \times {10}^{1} \\ \\ x = 107.7938 \: gram](https://tex.z-dn.net/?f=mole+%3D+%5Cfrac%7Bgiven+%5C%3A+mass+%5C%3A+of+%5C%3A+element%7D%7Batomic+%5C%3A+mass+%5C%3A+of+%5C%3A+element%7D+%5C%5C+%5C%5Clet+%5C%3A+the+%5C%3A+atomic+%5C%3A+mass+%5C%3A+of+%5C%3A+silver+%5C%3A+be+%5C%3A+x+%5C%5C+%5C%5C+%5Cfrac%7B+%7B10%7D%5E%7B6%7D+%7D%7B6.022+%5Ctimes+%7B10%7D%5E%7B23%7D+%7D+%3D+%5Cfrac%7B1.79+%5Ctimes+%7B10%7D%5E%7B+-+16%7D+%7D%7Bx%7D+%5C%5C+%5C%5C+x+%3D+%5Cfrac%7B1.79+%5Ctimes+%7B10%7D%5E%7B+-+16%7D+%5Ctimes+6.022+%5Ctimes+%7B10%7D%5E%7B23%7D+%7D%7B+%7B10%7D%5E%7B6%7D+%7D+%5C%5C+%5C%5C+x+%3D+1.79+%5Ctimes+6.022+%5Ctimes+%7B10%7D%5E%7B+-+16+%2B+23+-+6%7D+%5C%5C+%5C%5C+x+%3D+10.77938+%5Ctimes+%7B10%7D%5E%7B1%7D+%5C%5C+%5C%5C+x+%3D+107.7938+%5C%3A+gram)
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given no. of silver atoms = 1 million = 10^6
we also know that
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Answer:
107.7938g is the atomic mass of silver
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