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22.4 litre of water vapour at NTP, When ...

22.4 litre of water vapour at NTP, When condensed to water occupies an approximate volume of

A

18 litre

B

1 litre

C

1 ml

D

18 ml

Text Solution

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The correct Answer is:
To solve the problem of finding the volume of water when 22.4 liters of water vapor at NTP is condensed, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We are given that 22.4 liters of water vapor condenses into liquid water. We need to find the volume of the water produced. 2. **Identify Molar Volume at NTP**: At Normal Temperature and Pressure (NTP), 1 mole of any ideal gas occupies 22.4 liters. Since we have 22.4 liters of water vapor, we can conclude that this corresponds to 1 mole of water vapor. 3. **Determine the Mass of Water**: The molar mass of water (H₂O) can be calculated as follows: - Hydrogen (H) has an atomic mass of approximately 1 g/mol. Since there are 2 hydrogen atoms, their total mass is 2 g. - Oxygen (O) has an atomic mass of approximately 16 g/mol. - Therefore, the molar mass of water (H₂O) = 2 g (from H) + 16 g (from O) = 18 g/mol. 4. **Calculate the Mass of Water from the Vapor**: Since we have 1 mole of water vapor, the mass of the condensed water will be equal to the molar mass of water, which is 18 grams. 5. **Find the Volume of Water**: To find the volume of water, we can use the formula: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \] The density of water is approximately 1 g/mL. Thus, we can substitute the values: \[ \text{Volume} = \frac{18 \text{ grams}}{1 \text{ g/mL}} = 18 \text{ mL} \] 6. **Final Answer**: Therefore, when 22.4 liters of water vapor at NTP is condensed, it occupies an approximate volume of **18 mL**.

To solve the problem of finding the volume of water when 22.4 liters of water vapor at NTP is condensed, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We are given that 22.4 liters of water vapor condenses into liquid water. We need to find the volume of the water produced. 2. **Identify Molar Volume at NTP**: At Normal Temperature and Pressure (NTP), 1 mole of any ideal gas occupies 22.4 liters. Since we have 22.4 liters of water vapor, we can conclude that this corresponds to 1 mole of water vapor. ...
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