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Which of the following contains maximum ...

Which of the following contains maximum number of nitrogen atoms ?

A

`22.4 L` of `N_(2)` at STP

B

500 mL of `2.0 M NH_(3)`

C

`6.02 xx 10^(23)` molecules of `NO_(2)`

D

1.00 mol of `NH_(4)Cl`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which option contains the maximum number of nitrogen atoms, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Option 1: 22.4 liters of N2 at STP** - At Standard Temperature and Pressure (STP), 1 mole of any gas occupies 22.4 liters. - Since we have 22.4 liters of N2, this means we have 1 mole of N2. - Each molecule of N2 contains 2 nitrogen atoms. - Therefore, the number of nitrogen atoms = 1 mole of N2 × 2 atoms/molecule = 2 moles of nitrogen atoms. - In terms of atoms, this is equal to 2 × 6.022 × 10²³ = 1.2044 × 10²⁴ nitrogen atoms. 2. **Option 2: 500 ml of 2.0 M NH3** - Molarity (M) = moles of solute/volume of solution (in liters). - Volume = 500 ml = 0.5 liters. - Moles of NH3 = Molarity × Volume = 2.0 moles/liter × 0.5 liters = 1 mole of NH3. - Each molecule of NH3 contains 1 nitrogen atom. - Therefore, the number of nitrogen atoms = 1 mole of NH3 × 1 atom/molecule = 1 mole of nitrogen atoms = 6.022 × 10²³ nitrogen atoms. 3. **Option 3: 6.02 × 10²³ molecules of NO2** - The number of molecules given is 6.02 × 10²³, which is equal to 1 mole of NO2. - Each molecule of NO2 contains 1 nitrogen atom. - Therefore, the number of nitrogen atoms = 1 mole of NO2 × 1 atom/molecule = 1 mole of nitrogen atoms = 6.022 × 10²³ nitrogen atoms. 4. **Option 4: 1 mole of NH4Cl** - 1 mole of NH4Cl contains 1 nitrogen atom (from the NH4+ ion). - Therefore, the number of nitrogen atoms = 1 mole of NH4Cl × 1 atom/molecule = 1 mole of nitrogen atoms = 6.022 × 10²³ nitrogen atoms. ### Conclusion: - Option 1 (22.4 liters of N2 at STP) contains the maximum number of nitrogen atoms, which is 2 moles of nitrogen atoms (1.2044 × 10²⁴ nitrogen atoms). - Therefore, the correct answer is **Option 1**.

To determine which option contains the maximum number of nitrogen atoms, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Option 1: 22.4 liters of N2 at STP** - At Standard Temperature and Pressure (STP), 1 mole of any gas occupies 22.4 liters. - Since we have 22.4 liters of N2, this means we have 1 mole of N2. - Each molecule of N2 contains 2 nitrogen atoms. ...
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