A chemist prepares a solution of silver perchlorate AgClO4 by measuring out 0.877kg of silver perchlorate into a 200.mL volumetric flask and filling the flask to the mark with water.Calculate the concentration in /molL of the chemist's silver perchlorate solution. Be sure your answer has the correct number of significant digits.
Question
A chemist prepares a solution of silver perchlorate AgClO4 by measuring out 0.877kg of silver perchlorate into a 200.mL volumetric flask and filling the flask to the mark with water.Calculate the concentration in /molL of the chemist's silver perchlorate solution. Be sure your answer has the correct number of significant digits.
Solution
To calculate the concentration of the solution, we need to follow these steps:
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Convert the mass of silver perchlorate (AgClO4) to moles. The molar mass of AgClO4 is approximately 207.87 g/mol for Ag, 35.45 g/mol for Cl, and 63.998 g/mol for O4. Adding these together gives a molar mass of approximately 307.318 g/mol.
So, moles of AgClO4 = 0.877 kg * (1000 g/1 kg) / 307.318 g/mol = 2.85 moles (rounded to three decimal places for significant figures).
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Convert the volume of the solution to liters. 200 mL is equal to 0.2 L.
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Calculate the concentration in mol/L (molarity) by dividing the number of moles of solute by the volume of the solution in liters.
So, concentration = 2.85 moles / 0.2 L = 14.25 mol/L.
Therefore, the concentration of the chemist's silver perchlorate solution is 14.25 mol/L.
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