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Which of the following correctly represe...

Which of the following correctly represents 360 g of water?
(i) 2 moles of `H_(2)O`
ii) 20 moles of water.
iii) `6.022 xx 10^(23)` molecules of water.
iv) `1.2044 xx 10^(25)` molecules of water.

A

only (i)

B

(i) and (iv)

C

(ii) and (iii)

D

(ii) and (iv)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to determine which of the options correctly represents 360 g of water. We will analyze each option step by step. ### Step 1: Understand the molar mass of water The molar mass of water (H₂O) is calculated as follows: - Hydrogen (H) has a molar mass of approximately 1 g/mol, and there are 2 hydrogen atoms in water. - Oxygen (O) has a molar mass of approximately 16 g/mol. Thus, the molar mass of water (H₂O) = (2 × 1) + 16 = 18 g/mol. ### Step 2: Evaluate each option **Option (i): 2 moles of H₂O** - Calculate the mass of 2 moles of water: \[ \text{Mass} = \text{Number of moles} \times \text{Molar mass} = 2 \times 18 \text{ g} = 36 \text{ g} \] - Since 36 g is not equal to 360 g, this option is incorrect. **Option (ii): 20 moles of water** - Calculate the mass of 20 moles of water: \[ \text{Mass} = 20 \times 18 \text{ g} = 360 \text{ g} \] - Since this is equal to 360 g, this option is correct. **Option (iii): \(6.022 \times 10^{23}\) molecules of water** - One mole of any substance contains \(6.022 \times 10^{23}\) molecules and has a mass of 18 g. - Thus, \(6.022 \times 10^{23}\) molecules of water corresponds to 18 g, not 360 g. This option is incorrect. **Option (iv): \(1.2044 \times 10^{25}\) molecules of water** - First, calculate how many moles this number of molecules represents: \[ \text{Number of moles} = \frac{1.2044 \times 10^{25}}{6.022 \times 10^{23}} \approx 20 \text{ moles} \] - Now calculate the mass: \[ \text{Mass} = 20 \times 18 \text{ g} = 360 \text{ g} \] - Since this is equal to 360 g, this option is also correct. ### Conclusion The options that correctly represent 360 g of water are: - Option (ii): 20 moles of water - Option (iv): \(1.2044 \times 10^{25}\) molecules of water ### Final Answer The correct answers are options (ii) and (iv). ---

To solve the question, we need to determine which of the options correctly represents 360 g of water. We will analyze each option step by step. ### Step 1: Understand the molar mass of water The molar mass of water (H₂O) is calculated as follows: - Hydrogen (H) has a molar mass of approximately 1 g/mol, and there are 2 hydrogen atoms in water. - Oxygen (O) has a molar mass of approximately 16 g/mol. Thus, the molar mass of water (H₂O) = (2 × 1) + 16 = 18 g/mol. ...
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