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Which of the following has the highest m...

Which of the following has the highest mass?

A

1 g - atom of C

B

`(1)/(2)"mole of" CH_(4)`

C

10ml of water

D

`3.011xx10^(23)` atoms of oxygen

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options has the highest mass, we will analyze each option step by step. ### Step 1: Analyze Option A - **Option A**: 1 gram atom of carbon. - The atomic mass of carbon (C) is approximately 12 grams/mole. - Therefore, 1 gram atom of carbon is equal to 12 grams. ### Step 2: Analyze Option B - **Option B**: 1/2 mole of methane (CH₄). - The molar mass of methane (CH₄) is calculated as follows: - Carbon (C) = 12 g/mol - Hydrogen (H) = 1 g/mol × 4 = 4 g/mol - Total = 12 g/mol + 4 g/mol = 16 g/mol - Therefore, 1/2 mole of CH₄ = 16 g/mol × 0.5 = 8 grams. ### Step 3: Analyze Option C - **Option C**: 10 ml of water. - The density of water is 1 g/ml. - Therefore, 10 ml of water = 10 ml × 1 g/ml = 10 grams. ### Step 4: Analyze Option D - **Option D**: 3.011 × 10²³ atoms of O₂. - The molar mass of O₂ is approximately 32 grams/mole. - 1 mole of O₂ contains 6.022 × 10²³ molecules (Avogadro's number). - To find the mass of 3.011 × 10²³ atoms of O₂: - Calculate the number of moles: \[ \text{Number of moles} = \frac{3.011 \times 10^{23}}{6.022 \times 10^{23}} = 0.5 \text{ moles} \] - Therefore, the mass of 0.5 moles of O₂ = 0.5 moles × 32 g/mole = 16 grams. ### Step 5: Compare All Options - Option A: 12 grams - Option B: 8 grams - Option C: 10 grams - Option D: 16 grams ### Conclusion The highest mass among the options is from **Option D**, which is 16 grams. ### Final Answer **Option D has the highest mass.** ---

To determine which of the given options has the highest mass, we will analyze each option step by step. ### Step 1: Analyze Option A - **Option A**: 1 gram atom of carbon. - The atomic mass of carbon (C) is approximately 12 grams/mole. - Therefore, 1 gram atom of carbon is equal to 12 grams. ### Step 2: Analyze Option B ...
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