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STATEMENT -1 : 18 ml of H(2)O and 18 ml ...

STATEMENT -1 : 18 ml of `H_(2)O` and 18 ml of `CO_(2)` at 277 K have same no. of moles.
and
STATEMENT -2 : Density of `H_(2)O` is more than `CO_(2)`.

A

Statement -1 is True, Statement -2 is True, Statement -2 is a correct explanation for Statmenet -1.

B

Statement -1 is True, Statement -2 is True, Statement-2 is NOT a correct explanation for Statement -9

C

Statement -1 is True, Statement -2 is False

D

Statement -1 is False, Statmenet -2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements provided in the question. ### Step 1: Analyze Statement 1 **Statement 1:** 18 ml of H₂O and 18 ml of CO₂ at 277 K have the same number of moles. To determine if this statement is true or false, we need to calculate the number of moles of both substances using the formula: \[ \text{Number of moles} = \frac{\text{Mass}}{\text{Molar mass}} \] 1. **Calculate the mass of H₂O:** - Density of H₂O = 1 g/ml (approximately) - Volume of H₂O = 18 ml - Mass of H₂O = Density × Volume = 1 g/ml × 18 ml = 18 g 2. **Calculate the number of moles of H₂O:** - Molar mass of H₂O = 18 g/mol - Number of moles of H₂O = \(\frac{18 \text{ g}}{18 \text{ g/mol}} = 1 \text{ mole}\) 3. **Calculate the mass of CO₂:** - Density of CO₂ (at room temperature) ≈ 1.98 g/L = 0.00198 g/ml - Volume of CO₂ = 18 ml - Mass of CO₂ = Density × Volume = 0.00198 g/ml × 18 ml = 0.03564 g 4. **Calculate the number of moles of CO₂:** - Molar mass of CO₂ = 44 g/mol - Number of moles of CO₂ = \(\frac{0.03564 \text{ g}}{44 \text{ g/mol}} ≈ 0.00081 \text{ moles}\) Since 1 mole of H₂O is much greater than 0.00081 moles of CO₂, **Statement 1 is false.** ### Step 2: Analyze Statement 2 **Statement 2:** The density of H₂O is more than CO₂. At room temperature: - Density of H₂O ≈ 1 g/ml (liquid) - Density of CO₂ ≈ 0.00198 g/ml (gas) Since 1 g/ml (H₂O) is greater than 0.00198 g/ml (CO₂), **Statement 2 is true.** ### Conclusion - **Statement 1:** False - **Statement 2:** True Thus, the correct answer is that Statement 1 is false and Statement 2 is true. ### Final Answer - Statement 1 is false. - Statement 2 is true.
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