Question
High School Chemistry Accelerated Assessment Multiple Choice Questions 1. A sample of hydrated copper(II) sulfate \( \left(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}\right) \) has a molar mans of \( 249.7 \mathrm{~g} / \mathrm{mol} \). If yon tave 175 grams of this compound, how many moles do you have? A. 0.70 moles B. 1.43 molen C. 0.35 moles D. 2.10 moles
Ask by Salazar Moran. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
You have 0.70 moles of hydrated copper(II) sulfate.
Solution
To determine the number of moles in 175 grams of hydrated copper(II) sulfate (\(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2}\mathrm{O}\)), follow these steps:
1. **Use the formula for moles:**
\[
\text{Number of moles} = \frac{\text{Mass}}{\text{Molar Mass}}
\]
2. **Substitute the given values:**
\[
\text{Number of moles} = \frac{175\ \text{g}}{249.7\ \text{g/mol}}
\]
3. **Calculate the moles:**
\[
\text{Number of moles} \approx \frac{175}{250} = 0.7\ \text{moles}
\]
(Since 249.7 is very close to 250, the approximation is reasonable.)
4. **Compare with the given options:**
- **A. 0.70 moles** ✅
- B. 1.43 moles
- C. 0.35 moles
- D. 2.10 moles
**Correct Answer:** **A. 0.70 moles**
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Simplify this solution The Deep Dive
To calculate the number of moles of hydrated copper(II) sulfate, you can use the formula: \[ \text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \] For 175 grams of \( \mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O} \): \[ \text{moles} = \frac{175 \, \text{g}}{249.7 \, \text{g/mol}} \approx 0.70 \, \text{moles} \] Thus, the answer is A. 0.70 moles. Here's a quick tip: always ensure your units match up when performing calculations. It can save you from common pitfalls like miscalculating the amount due to incorrect conversions! Also, understanding the significance of the molar mass helps in identifying which compound is which, especially in a lab setting!
