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Which of the following would wight the h...

Which of the following would wight the highest?

A

0.2 moles of sucrose `(C_(12)H_(22)O_(11))`

B

2 moles of `CO_(2)`

C

0.2 moles of `CaCO_(3)`

D

10 moles of `H_(2)O`
Thinking Process
1 mole = gram molecular mass of the compound.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options has the highest weight, we will calculate the weight of each substance based on the number of moles provided and their respective molar masses. ### Step-by-Step Solution: 1. **Calculate the weight of 0.2 moles of Sucrose (C₁₂H₂₂O₁₁)**: - The molar mass of sucrose is calculated as follows: - Carbon (C): 12 g/mol × 12 = 144 g - Hydrogen (H): 1 g/mol × 22 = 22 g - Oxygen (O): 16 g/mol × 11 = 176 g - Total molar mass of sucrose = 144 g + 22 g + 176 g = 342 g/mol - Weight of 0.2 moles of sucrose = 0.2 × 342 g = 68.4 g 2. **Calculate the weight of 2 moles of Carbon Dioxide (CO₂)**: - The molar mass of carbon dioxide is calculated as follows: - Carbon (C): 12 g/mol × 1 = 12 g - Oxygen (O): 16 g/mol × 2 = 32 g - Total molar mass of CO₂ = 12 g + 32 g = 44 g/mol - Weight of 2 moles of CO₂ = 2 × 44 g = 88 g 3. **Calculate the weight of 0.2 moles of Calcium Carbonate (CaCO₃)**: - The molar mass of calcium carbonate is calculated as follows: - Calcium (Ca): 40 g/mol × 1 = 40 g - Carbon (C): 12 g/mol × 1 = 12 g - Oxygen (O): 16 g/mol × 3 = 48 g - Total molar mass of CaCO₃ = 40 g + 12 g + 48 g = 100 g/mol - Weight of 0.2 moles of CaCO₃ = 0.2 × 100 g = 20 g 4. **Calculate the weight of 10 moles of Water (H₂O)**: - The molar mass of water is calculated as follows: - Hydrogen (H): 1 g/mol × 2 = 2 g - Oxygen (O): 16 g/mol × 1 = 16 g - Total molar mass of H₂O = 2 g + 16 g = 18 g/mol - Weight of 10 moles of H₂O = 10 × 18 g = 180 g 5. **Compare the weights calculated**: - 0.2 moles of Sucrose = 68.4 g - 2 moles of Carbon Dioxide = 88 g - 0.2 moles of Calcium Carbonate = 20 g - 10 moles of Water = 180 g ### Conclusion: The highest weight among the options is from **10 moles of Water**, which weighs **180 grams**. ### Final Answer: **Option 4: 10 moles of Water weighs the highest.**

To determine which of the given options has the highest weight, we will calculate the weight of each substance based on the number of moles provided and their respective molar masses. ### Step-by-Step Solution: 1. **Calculate the weight of 0.2 moles of Sucrose (C₁₂H₂₂O₁₁)**: - The molar mass of sucrose is calculated as follows: - Carbon (C): 12 g/mol × 12 = 144 g - Hydrogen (H): 1 g/mol × 22 = 22 g ...
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