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Complete the following calculations and type your answers into the boxes. In a volumetric flask, 4 g of NaCl is dissolved in \( 0,5 \mathrm{dm}^{3} \) of water. 1. Calculate the amount of NaCl dissolved in water. mol of NaCl is dissolved in water. 2 Calculate the concentration of NaCl in the solution. The solution has a NaCl concentration of \( \mathrm{mol} \cdot \mathrm{dm}^{-3} \)

Ask by Weber Gray. in South Africa
Jan 24,2025

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Answer

0.068 mol of NaCl is dissolved in water, and the concentration of NaCl in the solution is 0.136 mol/dm³.

Solution

To calculate the amount of NaCl dissolved in water, we need to know the molar mass of NaCl. The molar mass of NaCl is 58.44 g/mol. Given: - Mass of NaCl = 4 g - Volume of water = 0.5 dm³ 1. Calculate the amount of NaCl dissolved in water: \[ \text{Amount of NaCl} = \frac{\text{Mass of NaCl}}{\text{Molar mass of NaCl}} \] 2. Calculate the concentration of NaCl in the solution: \[ \text{Concentration of NaCl} = \frac{\text{Amount of NaCl}}{\text{Volume of solution}} \] Let's calculate the amount of NaCl dissolved in water and the concentration of NaCl in the solution. Calculate the value by following steps: - step0: Calculate: \(\frac{4}{58.44}\) - step1: Convert the expressions: \(\frac{4}{\frac{1461}{25}}\) - step2: Multiply by the reciprocal: \(4\times \frac{25}{1461}\) - step3: Multiply: \(\frac{4\times 25}{1461}\) - step4: Multiply: \(\frac{100}{1461}\) The amount of NaCl dissolved in water is approximately 0.068 mol. Now, let's calculate the concentration of NaCl in the solution. Calculate the value by following steps: - step0: Calculate: \(\frac{0.068}{0.5}\) - step1: Convert the expressions: \(\frac{\frac{17}{250}}{\frac{1}{2}}\) - step2: Multiply by the reciprocal: \(\frac{17}{250}\times 2\) - step3: Reduce the numbers: \(\frac{17}{125}\times 1\) - step4: Multiply: \(\frac{17}{125}\) The concentration of NaCl in the solution is 0.136 mol/dm³.

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To find the amount of NaCl dissolved in water, we can use the formula for moles: \[ \text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \] The molar mass of NaCl is approximately \( 58.44 \, \text{g/mol} \). Therefore: \[ \text{moles of NaCl} = \frac{4 \, \text{g}}{58.44 \, \text{g/mol}} \approx 0.0683 \, \text{mol} \] Next, to calculate the concentration of NaCl in the solution, we use the formula: \[ \text{concentration (mol/dm}^3\text{)} = \frac{\text{moles}}{\text{volume (dm}^3\text{)}} \] Using the moles from before and the volume of \( 0.5 \, \text{dm}^3 \): \[ \text{concentration of NaCl} = \frac{0.0683 \, \text{mol}}{0.5 \, \text{dm}^3} \approx 0.1366 \, \text{mol/dm}^3 \]

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