A chemist adds 405.0mL of a ×9.810−5/mmolL silver(II) oxide AgO solution to a reaction flask. Calculate the mass in micrograms of silver(II) oxide the chemist has added to the flask. Round your answer to 2 significant digits.
Question
A chemist adds 405.0mL of a ×9.810−5/mmolL silver(II) oxide AgO solution to a reaction flask. Calculate the mass in micrograms of silver(II) oxide the chemist has added to the flask. Round your answer to 2 significant digits.
Solution
To calculate the mass of silver(II) oxide added to the flask, we first need to convert the concentration of the solution from mmol/L to mol/L.
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Convert the concentration from mmol/L to mol/L: 9.81 x 10^-5 mmol/L = 9.81 x 10^-8 mol/L
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Convert the volume from mL to L: 405.0 mL = 0.405 L
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Use the formula for calculating the amount of substance (n) in moles: n = concentration (mol/L) x volume (L) n = 9.81 x 10^-8 mol/L x 0.405 L = 3.98 x 10^-8 mol
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The molar mass of silver(II) oxide (AgO) is approximately 231.74 g/mol. Convert this to µg/mol: 231.74 g/mol = 231.74 x 10^6 µg/mol
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Calculate the mass (m) in micrograms: m = amount of substance (mol) x molar mass (µg/mol) m = 3.98 x 10^-8 mol x 231.74 x 10^6 µg/mol = 9.23 µg
So, the chemist has added approximately 9.23 µg of silver(II) oxide to the flask. However, we need to round this to 2 significant digits, so the final answer is 9.2 µg.
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