Chlorisondamine chloride $\left(\mathrm{C}_{14} \mathrm{H}_{20} \mathrm{Cl}_{6} \mathrm{N}_{2}\right)$ is a drug used in the treatment of hypertension. A 1.28-g sample of a medication containing the drug was treated to destroy the organic material and to release all the chlorine as chloride ion. When the filtered solution containing chloride ion was treated with an excess of silver nitrate, 0.104 g silver chloride was recovered. Calculate the mass percent of chlorisondamine chloride in the medication, assuming the drug is the only source of chloride.

Short Answer

Expert verified
Using the given information and following the steps above, we can calculate the mass percent of chlorisondamine chloride in the medication. 1. Calculate the mass of Chloride ions by using the mass of silver chloride: \(m_{\mathrm{Cl}} = \frac{(0.104\ \mathrm{g}) \times (35.45\ \mathrm{g/mol})}{143.32\ \mathrm{g/mol}} = 0.0253\ \mathrm{g}\) 2. Calculate the moles of Chloride ions: \(n_{\mathrm{Cl}} = \frac{0.0253\ \mathrm{g}}{35.45\ \mathrm{g/mol}} = 7.14 \times 10^{-4}\ \mathrm{mol}\) 3. Calculate the moles of chlorisondamine chloride: \(n_{\mathrm{drug}} = 7.14 \times 10^{-4}\ \mathrm{mol}\). 4. Calculate the mass of chlorisondamine chloride: \(m_{\mathrm{drug}} = (7.14 \times 10^{-4}\ \mathrm{mol}) \times (448.92\ \mathrm{g/mol}) = 0.320\ \mathrm{g}\) (molar mass of chlorisondamine chloride, \(M_{\mathrm{drug}} = 448.92\ \mathrm{g/mol}\)) 5. Calculate the mass percent of chlorisondamine chloride in the medication: \(\text{Mass Percent} = \frac{0.320\ \mathrm{g}}{1.28\ \mathrm{g}} \times 100 = 25.0\%\) The mass percent of chlorisondamine chloride in the medication is \(25.0\%\).

Step by step solution

01

Calculate the mass of Chloride ions in the sample

To do this, we will use the mass of the recovered silver chloride. The mass of silver chloride is given as 0.104 g. Using the molar mass of silver (\(Ag=107.87\) g/mol) and the molar mass of chloride (\(Cl=35.45\) g/mol), we can calculate the mass of Chloride ions in the sample. The mass of one mole of Silver chloride, \(\mathrm{AgCl}\) is \[ \mathrm{AgCl} = 107.87\ \mathrm{g/mol} + 35.45\ \mathrm{g/mol} = 143.32\ \mathrm{g/mol} \] Now, we can use the mass ratio of Chloride ions in one mole of silver chloride to find the mass of Chloride ions in the sample: \[ m_{\mathrm{Cl}} = \frac{m_{\mathrm{sample}} \times M_{\mathrm{Cl}}}{M_{\mathrm{AgCl}}} \] Where \(m_{\mathrm{Cl}}\) is the mass of Chloride ions, \(m_{\mathrm{sample}}\) is the mass of the sample in g, \(M_{\mathrm{Cl}}\) is the molar mass of chloride, and \(M_{\mathrm{AgCl}}\) is the molar mass of silver chloride.
02

Calculate the moles of Chloride ions in the sample

Now that we have found the mass of Chloride ions in the sample, we will use it to determine the number of moles: \[ n_{\mathrm{Cl}}=\frac{m_{\mathrm{Cl}}}{M_{\mathrm{Cl}}} \] Where \(n_{\mathrm{Cl}}\) is the moles of Chloride ions and \(m_{\mathrm{Cl}}\) and \(M_{\mathrm{Cl}}\) are the mass of Chloride ions and the molar mass of Chloride ions, respectively.
03

Calculate the moles of chlorisondamine chloride in the sample

Since there's a 1:1 relationship between the moles of Chloride ions and the moles of chlorisondamine chloride, the moles of Chloride ions will be equal to the moles of the chlorisondamine chloride: \[ n_{\mathrm{drug}} = n_{\mathrm{Cl}} \] Where \(n_{\mathrm{drug}}\) is the moles of chlorisondamine chloride and \(n_{\mathrm{Cl}}\) is the moles of Chloride ions.
04

Calculate the mass of chlorisondamine chloride in the sample

Using the moles of chlorisondamine chloride and its molecular formula \(\mathrm{C}_{14} \mathrm{H}_{20} \mathrm{Cl}_{6} \mathrm{N}_{2}\), we can find the mass of the drug: \[ m_{\mathrm{drug}} = n_{\mathrm{drug}} \times M_{\mathrm{drug}} \] Where \(m_{\mathrm{drug}}\) is the mass of chlorisondamine chloride, \(n_{\mathrm{drug}}\) is the moles of chlorisondamine chloride, and \(M_{\mathrm{drug}}\) is the molar mass of chlorisondamine chloride.
05

Calculate the mass percent of chlorisondamine chloride in the medication

Now, we can calculate the mass percent of chlorisondamine chloride in the medication using the mass of the drug and the mass of the sample: \[ \text{Mass Percent} = \frac{m_{\mathrm{drug}}}{m_{\mathrm{sample}}} \times 100 \] Where \(m_{\mathrm{drug}}\) is the mass of chlorisondamine chloride, and \(m_{\mathrm{sample}}\) is the mass of the sample.

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