How many total moles of ions are released when 150. g of Rb2SO4 dissolves in water?

To calculate the total moles of ions released when 150.0 g of \( \text{Rb}_2\text{SO}_4 \) dissolves in water, follow these steps:

### Step 1: Calculate the molar mass of \( \text{Rb}_2\text{SO}_4 \)
\( \text{Rb}_2\text{SO}_4 \) is composed of:
- Rubidium (Rb): \( 2 \times 85.47 \ \text{g/mol} \)
- Sulfur (S): \( 1 \times 32.07 \ \text{g/mol} \)
- Oxygen (O): \( 4 \times 16.00 \ \text{g/mol} \)

So, the molar mass of \( \text{Rb}_2\text{SO}_4 \) is:
\[
\text{Molar mass of } \text{Rb}_2\text{SO}_4 = 2(85.47) + 32.07 + 4(16.00) = 267.01 \ \text{g/mol}
\]

### Step 2: Calculate the number of moles of \( \text{Rb}_2\text{SO}_4 \)
\[
\text{Moles of } \text{Rb}_2\text{SO}_4 = \frac{\text{Mass of } \text{Rb}_2\text{SO}_4}{\text{Molar mass of } \text{Rb}_2\text{SO}_4} = \frac{150.0 \ \text{g}}{267.01 \ \text{g/mol}} \approx 0.562 \ \text{mol}
\]

### Step 3: Determine the number of moles of ions released
When \( \text{Rb}_2\text{SO}_4 \) dissolves in water, it dissociates into ions as follows:
\[
\text{Rb}_2\text{SO}_4 (s) \rightarrow 2 \text{Rb}^+ (aq) + \text{SO}_4^{2-} (aq)
\]
This dissociation results in 3 moles of ions per mole of \( \text{Rb}_2\text{SO}_4 \) (2 moles of \( \text{Rb}^+ \) and 1 mole of \( \text{SO}_4^{2-} \)).

### Step 4: Calculate the total moles of ions
\[
\text{Total moles of ions} = 0.562 \ \text{mol} \times 3 = 1.686 \ \text{mol}
\]

So, **1.686 moles of ions** are released when 150.0 g of \( \text{Rb}_2\text{SO}_4 \) dissolves in water.

Would you like more details or have any other questions?

### Related Questions:
1. How would the number of moles of ions change if the mass of \( \text{Rb}_2\text{SO}_4 \) was doubled?
2. What is the dissociation equation for \( \text{Na}_2\text{SO}_4 \) in water?
3. How do you calculate the molar mass of any given compound?
4. What is the role of solubility in determining the amount of ions released?
5. How does temperature affect the dissociation of \( \text{Rb}_2\text{SO}_4 \) in water?

### Tip:
When solving stoichiometry problems, always ensure that you accurately calculate the molar mass of the compounds involved, as errors here can lead to incorrect final answers.

Learn how to calculate the total moles of ions released when 150 g of Rb2SO4 dissolves in water. This problem involves stoichiometry, molar mass calculations, and chemical dissociation, suitable for high school chemistry students. Follow a step-by-step solution to determine that 1.686 moles of ions are released.

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