What mass of Cu is in 300.0 mL of .200 M Cu2SO3?

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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What mass of Cu is in 300.0 mL of .200 M Cu2SO3?

My work is attached but I'm not sure if this is the right approach.  I found the molar mass of the compound, the moles of the compound, and the total mass for the compound.

Then I tried to find a mole ratio between copper and the compound by dividing the molar mass for Cu2 by the compound molar mass, coming up with a factor of .6136.  I took this factor and multiplied it by the total mass of the compound.  I got 7.627 g of Cu2.

Could you explain the steps to isolate the copper mass in this compound?

### Calculation of Molar Mass and Mass Conversions for Cu\(_2\)SO\(_3\)

**1. Calculate the Molar Mass of Cu\(_2\)SO\(_3\):**

- The formula for the molar mass of Cu\(_2\)SO\(_3\) is:
  \[
  (2 \times 63.546) + (32.06) + (3 \times 15.999)
  \]
- Calculation:
  \[
  = 207.149 \, \text{g/mol} \, \text{Cu\(_2\)SO\(_3\)}
  \]

**2. Determine the Moles of Cu\(_2\)SO\(_3\):**

- Given:
  \[
  \text{Volume} = 300.0 \, \text{mL} \times 10^{-3} \, \text{L/mL} = 0.300 \, \text{L}
  \]
  \[
  \text{Concentration} = 0.200 \, \text{M}
  \]
- Calculation of moles:
  \[
  0.300 \, \text{L} \times 0.200 \, \text{M} = 0.06 \, \text{mol Cu\(_2\)SO\(_3\)}
  \]

**3. Calculate the Mass of Cu\(_2\)SO\(_3\):**

- Formula:
  \[
  \text{mass} = \text{moles} \times \text{molar mass}
  \]
- Calculation:
  \[
  0.06 \, \text{mol} \times \frac{207.149 \, \text{g}}{\text{mol}} = 12.43 \, \text{g Cu\(_2\)SO\(_3\)}
  \]

**4. Calculate Molar Mass of Cu\(_2\):**

- Formula:
  \[
  \text{molar mass of Cu\(_2\)} = (2 \times 63.546)
  \]
- Calculation:
  \[
  = 127.092 \, \text{g/mol} \, \text{Cu\(_2\)}
  \]

**
Transcribed Image Text:### Calculation of Molar Mass and Mass Conversions for Cu\(_2\)SO\(_3\) **1. Calculate the Molar Mass of Cu\(_2\)SO\(_3\):** - The formula for the molar mass of Cu\(_2\)SO\(_3\) is: \[ (2 \times 63.546) + (32.06) + (3 \times 15.999) \] - Calculation: \[ = 207.149 \, \text{g/mol} \, \text{Cu\(_2\)SO\(_3\)} \] **2. Determine the Moles of Cu\(_2\)SO\(_3\):** - Given: \[ \text{Volume} = 300.0 \, \text{mL} \times 10^{-3} \, \text{L/mL} = 0.300 \, \text{L} \] \[ \text{Concentration} = 0.200 \, \text{M} \] - Calculation of moles: \[ 0.300 \, \text{L} \times 0.200 \, \text{M} = 0.06 \, \text{mol Cu\(_2\)SO\(_3\)} \] **3. Calculate the Mass of Cu\(_2\)SO\(_3\):** - Formula: \[ \text{mass} = \text{moles} \times \text{molar mass} \] - Calculation: \[ 0.06 \, \text{mol} \times \frac{207.149 \, \text{g}}{\text{mol}} = 12.43 \, \text{g Cu\(_2\)SO\(_3\)} \] **4. Calculate Molar Mass of Cu\(_2\):** - Formula: \[ \text{molar mass of Cu\(_2\)} = (2 \times 63.546) \] - Calculation: \[ = 127.092 \, \text{g/mol} \, \text{Cu\(_2\)} \] **
Expert Solution
Step 1: Data and formula

Given that, the volume of Cu2SO3 is V = 300 mL = 0.3 L,

The concentration is C = 0.200 M.

We have to calculate the mass of Cu present in that solution.


Formula:

  • Number of moles = concentration × volume.
  • Molality is the number of moles of solute present per litre of solution.
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